Two-dimensional continuum stress/displacement submodeling

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/StandardAbaqus/Explicit

Elements tested

  • CPEG3
  • CPEG4
  • CPEG6
  • CPEG6M
  • CPEG8
  • CPE3
  • CPE4
  • CPE4H
  • CPE4R
  • CPE6
  • CPE6M
  • CPE8
  • CPE8H
  • CPE8R
  • CPS3
  • CPS4
  • CPS4R
  • CPS6
  • CPS6M
  • CPS8

Features tested

The submodeling capability is applied to two-dimensional continuum stress/displacement elements. In Abaqus/Standard general static and linear perturbation procedures are used in various combinations for both the global and submodel analyses. In Abaqus/Explicit the procedures are quasi-static for both the global and submodel analyses.

Problem description

Model:

All global models have dimensions 8.0 × 1.5 in the xy plane, with an out-of-plane dimension of 1.0 (plane stress analysis).

Material:

Young's modulus 3 × 106
Poisson's ratio 0.3
Density 10.0
Rayleigh damping (αR) 0.2
Rayleigh damping (βR) 0.4

Loading and boundary conditions

All global models involving static procedures and Abaqus/Explicit quasi-static procedures are subject to the loading and boundary conditions depicted in Figure 1. In Abaqus/Standard the time history of the loading, the time at which the corresponding submodeled analysis is performed, and the requested file output from the global model are unique to each individual analysis. In Abaqus/Explicit the same step time and smooth step loading are used in both the global and submodel analyses.

Figure 1. Global and submodeled domains used with static procedures.

All global models involving dynamic procedures in Abaqus/Standard are subject to the loading and boundary conditions depicted in Figure 2. For the transient simulations using the direct-integration implicit dynamic procedure, different excitation frequencies of the load can be tested by changing the parameters defined in the input files. As in the static analyses the time history of the loading, the time at which the corresponding submodeled analysis is performed, and the requested file output from the global model are unique to each individual analysis.

Figure 2. Global and submodeled domains used with dynamic procedures.

Results and discussion

The amplitudes of all driven variables in the submodeled analysis are correctly identified on the global analysis file output and applied at the driven nodes in the submodel analysis.

Input files

Abaqus/Standard input files

The following input files test various combinations of static analyses using the static and linear static perturbation procedures:
pgcg4sfs.inp

CPEG3, CPEG4 elements; global analysis.

pscg4sf1.inp

CPEG4 elements; submodel analysis of pgcg4sfs.inp.

pscg4sf1_sb.inp

CPEG4 elements; stress-based submodel analysis of pgcg4sfs.inp.

pscg4sf2.inp

Restart from pscg4sf1.inp.

pscg4sf2_sb.inp

Restart from pscg4sf1_sb.inp.

pgcg8sfs.inp

CPEG6, CPEG8 elements; global analysis.

pscg8sf1.inp

CPEG4 elements; submodel analysis of pgcg8sfs.inp.

pgcg8sks.inp

CPEG6M, CPEG8 elements; global analysis.

pscg8sk1.inp

CPEG4 elements; submodel analysis of pgcg8sks.inp.

pscg8sk1_sb.inp

CPEG4 elements; stress-based submodel analysis of pgcg8sks.inp.

pgce4sfs.inp

CPE3, CPE4 elements; global analysis.

psce4sf1.inp

CPE4 elements; submodel analysis of pgce4sfs.inp.

psce4sf1_sb.inp

CPE4 elements; stress-based submodel analysis of pgce4sfs.inp.

pgce4sfsg.inp

CPE3, CPE4 elements; SUBMODEL, GLOBAL ELSET; global analysis.

psce4sf1g.inp

CPE4 elements; SUBMODEL, GLOBAL ELSET; submodel analysis of pgce4sfsg.inp.

pgce4shm.inp

CPE4H elements; global analysis.

psce4sh1.inp

CPE4 elements; submodel analysis of pgce4shm.inp .

pgce4srm.inp

CPE4R elements; global analysis.

psce4sr1.inp

CPE4 elements; submodel analysis of pgce4srm.inp.

pgce8sfs.inp

CPE6, CPE8 elements; global analysis.

psce8sf1.inp

CPE4 elements; submodel analysis of pgce8sfs.inp.

pgce6sms.inp

CPE6M elements; global analysis.

psce6sm1.inp

CPE6M elements; submodel analysis of pgce6sms.inp.

psce6sm1_sb.inp

CPE6M elements; stress-based submodel analysis of pgce6sms.inp.

pgcs4sfs.inp

CPS3, CPS4 elements; global analysis.

pscs4sf1.inp

CPS4 elements; submodel analysis of pgcs4sfs.inp.

pgcs6sms.inp

CPS6M elements; global analysis.

pscs6sm1.inp

CPS6M elements; submodel analysis of pgcs6sms.inp.

The following input files test various combinations of dynamic analyses using the direct solution steady-state dynamic and direct-integration implicit procedures:
pgce8shd.inp

CPE8H elements; global analysis.

psce8sh1.inp

CPS8 elements; submodel analysis of pgce8shd.inp.

pgce8srd.inp

CPE8R elements; global analysis.

psce8sr1.inp

CPE8 elements; submodel analysis of pgce8srd.inp.

psce8sr1_sb.inp

CPE8 elements; stress-based submodel analysis of pgce8srd.inp.

pgcs8sfd.inp

CPS6, CPS8 elements; global analysis.

pscs8sf1.inp

CPS8 elements; submodel analysis of pgcs8sfd.inp.

pscs8sf1_sb.inp

CPS8 elements; stress-based submodel analysis of pgcs8sfd.inp.

submodel2delem_cpe8h_gd_std.inp

CPE8H elements; global DYNAMIC analysis.

submodel2delem_cps8_sd_std.inp

CPS8 elements; submodel DYNAMIC analysis.

Abaqus/Explicit input files

submodel2delem_cpe_g_xpl.inp

CPE4R, CPE3 elements; global analysis.

submodel2delem_cpe4r_s_xpl.inp

CPE4R elements; submodel analysis.

submodel2delem_cps_g_xpl.inp

CPS4R, CPS3 elements; global analysis.

submodel2delem_cps4r_s_xpl.inp

CPS4R elements; submodel analysis.

submodel2delem_cpe6m_g_xpl.inp

CPE6M elements; global analysis.

submodel2delem_cpe6m_s_xpl.inp

CPE6M elements; submodel analysis.

submodel2delem_cps6m_g_xpl.inp

CPS6M elements; global analysis.

submodel2delem_cps6m_s_xpl.inp

CPS6M elements; submodel analysis.