Using distributions to define thicknesses, offsets, material orientations, and stiffness matrices for shell and membrane elements
Elements tested
- S3R
- STRI3
- S4
- S4R
- S4R5
- STRI65
- S8R
- S8R5
- S9R5
- SC6R
- SC8R
- SAX1
- SAX2
- SAXA
- M3D3
- M3D4
- M3D4R
- M3D6
- M3D8
- M3D8R
- M3D9
- M3D9R
Problem description
The analyses in this section demonstrate how distributions can be used to define spatially varying element properties in shells and membrane elements (the membrane tests apply only to Abaqus/Standard).
The geometry in each shell test is a flat plate modeled with either 9 quadrilateral shell elements or 18 triangular shell elements. In most test cases each shell element is assigned a different thickness, offset, and material orientation using distributions. In some cases both distributions and nodal thicknesses are used to define the shell thicknesses. A linear elastic orthotropic material is used in each case. All the test cases in this section are verified by creating equivalent reference models using multiple section assignments to define the shell thicknesses, offsets, and material properties. Some of these reference models are included.
The geometry in each membrane test is a flat plate modeled with either 9 quadrilateral membrane elements or 18 triangular membrane elements. In most test cases each membrane element is assigned a different thickness and material orientation using distributions. A linear elastic material is used in each case. Initial stresses are applied to the membrane elements in all tests. All the test cases in this section are verified by creating equivalent reference models using multiple section assignments to define the membrane thicknesses and material orientations.
Loading:
The multistep Abaqus/Standard analysis performed on each shell model consists of the following:
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Step 1: A frequency analysis.
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Step 2: A steady-state dynamic analysis with modal damping and nodal loads.
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Step 3: A modal dynamic analysis with modal damping and nodal loads.
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Step 4: A direct steady-state dynamic analysis with modal damping and nodal loads.
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Step 5: A subspace projection steady-state dynamic analysis with nodal loads.
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Step 6: A random response analysis with nodal loads.
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Step 7: A response spectrum analysis.
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Step 8: A geometrically nonlinear static analysis with displacement boundary conditions.
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Step 9: A load case static analysis using distributed body loads, gravity loads, and centrifugal loads.
The membrane tests are identical to the shell tests except that an initial static step is included to resolve the initial stresses.
A single geometrically nonlinear dynamic step with displacement boundary conditions is used for the shell models testing Abaqus/Explicit.
Results and discussion
The results for each model agree with the associated reference solutions.
Input files
Abaqus/Standard analyses
- distrib_multistep_s3r_gs_std.inp
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Multistep analysis using S3R elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s3r_nt_gs_std.inp
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Multistep analysis using S3R elements, a homogeneous general shell section definition, and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_s3r_std.inp
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Multistep analysis using S3R elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s3r_nt_std.inp
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Multistep analysis using S3R elements with a homogeneous shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_s4_gs_std.inp
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Multistep analysis using S4 elements and a homogeneous general shell section. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4_gs_ref_std.inp
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Reference solution for distrib_multistep_s4_gs_std.inp using multiple homogeneous shell section definitions to define varying shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4_nt_gs_std.inp
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Multistep analysis using S4 elements, a homogeneous general shell section definition, and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_s4_std.inp
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Multistep analysis using S4 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4_rs_std.inp
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Restart analysis for distrib_multistep_s4_std.inp.
- distrib_multistep_s4_nt_std.inp
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Multistep analysis using S4 elements with a homogeneous shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_s4_nt_ref_std.inp
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Reference solution for distrib_multistep_s4_nt_std.inp using multiple homogeneous shell section definitions and nodal thicknesses to define varying shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4_nt1_gs_std.inp
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Multistep analysis using S4 elements, a homogeneous general shell section definition, and nodal thicknesses. Distributions are used to define offsets and material orientations.
- distrib_multistep_s4_nt1_std.inp
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Multistep analysis using S4 elements with a homogeneous shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define offsets and material orientations.
- distrib_multistep_s4_st_std.inp
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Multistep analysis using S4 elements with a homogeneous general shell section definition. The section stiffness is specified directly. Distributions are used to define shell section stiffness and material orientations. The distributions for the section stiffnesses and material orientations are read from separate input files distrib_s4_stiff_in.inp and distrib_s4_orient_in.inp.
- distrib_s4_stiff_in.inp
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Input file for section stiffness distribution for distrib_multistep_s4_st_std.inp.
- distrib_s4_orient_in.inp
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Input file for material orientation distribution for distrib_multistep_s4_st_std.inp.
- distrib_multistep_s4r_gs_std.inp
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Multistep analysis using S4R elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4r_std.inp
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Multistep analysis using S4R elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4r_hyp_std.inp
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Multistep analysis using S4R elements with a homogeneous shell section definition that is integrated during the analysis and a hyperelastic material. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4r5_gs_std.inp
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Multistep analysis using S4R5 elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s4r5_std.inp
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Multistep analysis using S4R5 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s8r_gs_std.inp
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Multistep analysis using S8R elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s8r_std.inp
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Multistep analysis using S8R elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s8r5_gs_std.inp
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Multistep analysis using S8R5 elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s8r5_std.inp
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Multistep analysis using S8R5 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s9r5_gs_std.inp
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Multistep analysis using S9R5 elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_s9r5_std.inp
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Multistep analysis using S9R5 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_sc6r_gs_std.inp
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Multistep analysis using SC6R elements and a homogeneous general shell section definition. Distributions are used to define material orientations.
- distrib_multistep_sc6r_std.inp
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Multistep analysis using SC6R elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define material orientations.
- distrib_multistep_sc8r_gs_std.inp
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Multistep analysis using SC8R elements and a homogeneous general shell section definition. Distributions are used to define material orientations.
- distrib_multistep_sc8r_std.inp
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Multistep analysis using SC8R elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define material orientations.
- distrib_multistep_stri3_gs_std.inp
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Multistep analysis using STRI3 elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_stri3_std.inp
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Multistep analysis using STRI3 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_stri65_gs_std.inp
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Multistep analysis using STRI65 elements and a homogeneous general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_stri65_std.inp
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Multistep analysis using STRI65 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_sax1_std.inp
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Multistep analysis using SAX1 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses and offsets.
- distrib_multistep_sax2_std.inp
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Multistep analysis using SAX2 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses and offsets.
- distrib_multistep_sax2t_std.inp
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Multistep analysis using SAX2T elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses and offsets.
- distrib_multistep_saxa12_std.inp
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Multistep analysis using SAXA12 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_saxa22_std.inp
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Multistep analysis using SAXA22 elements with a homogeneous shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s3r_gs_std.inp
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Multistep analysis using S3R elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s3r_nt_gs_std.inp
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Multistep analysis using S3R elements, a composite general shell section definition, and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_comp_s3r_std.inp
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Multistep analysis using S3R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s3r_nt_std.inp
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Multistep analysis using S3R elements with a composite shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_comp_s3r_1_std.inp
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Multistep analysis using S3R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4_gs_std.inp
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Multistep analysis using S4 elements and a composite general shell section. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4_gs_ref_std.inp
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Reference solution for distrib_multistep_comp_s4_gs_std.inp using multiple composite shell section definitions to define varying shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4_nt_gs_std.inp
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Multistep analysis using S4 elements, a composite general shell section definition, and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_comp_s4_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4_rs_std.inp
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Restart analysis for distrib_multistep_comp_s4_std.inp.
- distrib_multistep_comp_s4_nt_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_multistep_comp_s4_nt_ref_std.inp
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Reference solution for distrib_multistep_comp_s4_nt_std.inp using multiple composite shell section definitions and nodal thicknesses to define varying shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4_nt1_gs_std.inp
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Multistep analysis using S4 elements, a composite general shell section definition, and nodal thicknesses. Distributions are used to define offsets and material orientations.
- distrib_multistep_comp_s4_nt1_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define offsets and material orientations.
- distrib_multistep_comp_s4_3_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4_4_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4_5_std.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4r_gs_std.inp
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Multistep analysis using S4R elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4_gs_3_std.inp
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Multistep analysis using S4 elements with a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4_gs_4_std.inp
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Multistep analysis using S4 elements with a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4_gs_5_std.inp
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Multistep analysis using S4 elements with a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s4r_std.inp
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Multistep analysis using S4R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4r_hyp_std.inp
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Multistep analysis using S4R elements with a composite shell section definition that is integrated during the analysis and a hyperelastic material. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4r5_gs_std.inp
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Multistep analysis using S4R5 elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s4r5_std.inp
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Multistep analysis using S4R5 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s8r_gs_std.inp
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Multistep analysis using S8R elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s8r_std.inp
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Multistep analysis using S8R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s8r5_gs_std.inp
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Multistep analysis using S8R5 elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s8r5_std.inp
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Multistep analysis using S8R5 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_s9r5_gs_std.inp
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Multistep analysis using S9R5 elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_s9r5_std.inp
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Multistep analysis using S9R5 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_sc6r_gs_std.inp
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Multistep analysis using SC6R elements and a composite general shell section definition. Distributions are used to define material orientations.
- distrib_multistep_comp_sc6r_std.inp
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Multistep analysis using SC6R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define material orientations.
- distrib_multistep_comp_sc8r_gs_std.inp
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Multistep analysis using SC8R elements and a composite general shell section definition. Distributions are used to define material orientations.
- distrib_multistep_comp_sc8r_std.inp
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Multistep analysis using SC8R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define material orientations.
- distrib_multistep_comp_sc8r_1_std.inp
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Multistep analysis using SC8R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define material orientations and composite layer orientation angles.
- distrib_multistep_comp_sc8r_2_std.inp
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Multistep analysis using SC8R elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define material orientations and composite layer orientation angles.
- distrib_multistep_comp_sc8r_gs_1_std.inp
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Multistep analysis using SC8R elements with a composite general shell section definition. Distributions are used to define material orientations and composite layer orientation angles.
- distrib_multistep_comp_sc8r_gs_2_std.inp
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Multistep analysis using SC8R elements with a composite general shell section definition. Distributions are used to define material orientations and composite layer orientation angles.
- distrib_multistep_comp_stri3_gs_std.inp
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Multistep analysis using STRI3 elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_stri3_std.inp
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Multistep analysis using STRI3 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_comp_stri65_gs_std.inp
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Multistep analysis using STRI65 elements and a composite general shell section definition. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_stri65_std.inp
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Multistep analysis using STRI65 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_saxa12_std.inp
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Multistep analysis using SAXA12 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, and material orientations.
- distrib_multistep_comp_saxa22_std.inp
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Multistep analysis using SAXA22 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses, offsets, material orientations, composite layer thicknesses, and composite layer angles.
- distrib_multistep_m3d3_std.inp
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Multistep analysis using M3D3 elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d4_std.inp
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Multistep analysis using M3D4 elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d4r_std.inp
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Multistep analysis using M3D4R elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d6_std.inp
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Multistep analysis using M3D6 elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d8_std.inp
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Multistep analysis using M3D8 elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d8r_std.inp
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Multistep analysis using M3D8R elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d9_std.inp
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Multistep analysis using M3D9 elements. Distributions are used to define membrane thicknesses and material orientations.
- distrib_multistep_m3d9r_std.inp
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Multistep analysis using M3D9R elements. Distributions are used to define membrane thicknesses and material orientations.
Abaqus/Explicit analyses
- distrib_s4_nt_xpl.inp
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Analysis using S4 elements with a shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_s4_nt_ref_xpl.inp
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Reference solution for distrib_s4_nt_xpl.inp using multiple shell section definitions and nodal thicknesses to define varying shell thicknesses and material orientations.
- distrib_s4r_nt_xpl.inp
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Analysis using S4R elements with a shell section definition that is integrated during the analysis and nodal thicknesses. Distributions are used to define shell thicknesses and material orientations.
- distrib_s4r_nt_ref_xpl.inp
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Reference solution for distrib_s4r_nt_xpl.inp using multiple shell section definitions and nodal thicknesses to define varying shell thicknesses and material orientations.
- distrib_comp_s4_nt_xpl.inp
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Multistep analysis using S4 elements with a composite shell section definition that is integrated during the analysis. Distributions are used to define shell thicknesses and material orientations.
- distrib_comp_s4_nt_ref_xpl.inp
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Reference solution for distrib_comp_s4_nt_xpl.inp using multiple composite shell section definitions and nodal thicknesses to define varying shell thicknesses and material orientations.
- distrib_comp_s3r_angle_xpl.inp
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Analysis using S3R elements with composite shell section definitions that are integrated during the analysis. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s3r_angle_ref_xpl.inp
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Reference solution for distrib_comp_s3r_angle_xpl.inp using multiple composite shell section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4_angle_xpl.inp
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Analysis using S4 elements with composite shell section definitions that are integrated during the analysis. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4_angle_xpl.inp using multiple composite shell section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4r_angle_xpl.inp
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Analysis using S4R elements with composite shell section definitions that are integrated during the analysis. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4r_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4r_angle_xpl.inp using multiple composite shell section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4rs_angle_xpl.inp
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Analysis using S4RS elements with composite shell section definitions that are integrated during the analysis. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4rs_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4rs_angle_xpl.inp using multiple composite shell section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s3r_gs_angle_xpl.inp
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Analysis using S3R elements with composite general shell section definitions. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s3r_gs_angle_ref_xpl.inp
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Reference solution for distrib_comp_s3r_gs_angle_xpl.inp using multiple composite shell general section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4_gs_angle_xpl.inp
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Analysis using S4 elements with composite general shell section definitions. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4_gs_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4_gs_angle_xpl.inp using multiple composite shell general section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4r_gs_angle_xpl.inp
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Analysis using S4R elements with composite general shell section definitions. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4r_gs_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4r_gs_angle_xpl.inp using multiple composite shell general section definitions to define varying composite layer angles and thicknesses.
- distrib_comp_s4rs_gs_angle_xpl.inp
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Analysis using S4RS elements with composite general shell section definitions. Distributions are used to define composite layer angles and thicknesses.
- distrib_comp_s4rs_gs_angle_ref_xpl.inp
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Reference solution for distrib_comp_s4rs_gs_angle_xpl.inp using multiple composite shell general section definitions to define varying composite layer angles and thicknesses.
- distrib_s3r_gs_stiff_xpl.inp
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Analysis using S3R elements with homogeneous general shell section definitions and direct section stiffness specification. Distributions are used to define shell section stiffness.
- distrib_s3r_gs_stiff_ref_xpl.inp
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Reference solution for distrib_s3r_gs_stiff_xpl.inp using multiple homogeneous general shell section definitions to define varying shell section stiffness.
- distrib_s4_gs_stiff_xpl.inp
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Analysis using S4 elements with homogeneous general shell section definitions and direct section stiffness specification. Distributions are used to define shell section stiffness.
- distrib_s4_gs_stiff_ref_xpl.inp
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Reference solution for distrib_s4_gs_stiff_xpl.inp using multiple homogeneous general shell section definitions to define varying shell section stiffness.
- distrib_s4r_gs_stiff_xpl.inp
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Analysis using S4R elements with homogeneous general shell section definitions and direct section stiffness specification. Distributions are used to define shell section stiffness.
- distrib_s4r_gs_stiff_ref_xpl.inp
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Reference solution for distrib_s4r_gs_stiff_xpl.inp using multiple homogeneous general shell section definitions to define varying shell section stiffness.
- distrib_s4rs_gs_stiff_xpl.inp
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Analysis using S4RS elements with homogeneous general shell section definitions and direct section stiffness specification. Distributions are used to define shell section stiffness.
- distrib_s4rs_gs_stiff_ref_xpl.inp
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Reference solution for distrib_s4rs_gs_stiff_xpl.inp using multiple homogeneous general shell section definitions to define varying shell section stiffness.