International Journal for Numerical and Analytical Methods in Geomechanics · 1982 · 119 citations · 7 references
EngineeringComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsFinite Difference MethodsFinite Element DiscretizationFinite Element FormulationPlastic AnalysisPlastic DeformationPlasticityCollapse AnalysisCollapse LoadDiscretizationPlastic CollapsePlastic Deformation SimulationPlastic FlowPlasticity AnalysisStrain Tensor
Abstract Collapse loads are overestimated by finite‐element or finite‐difference procedures when the material discretization does not allow locally incompressible plastic flow: for example, constant‐strain triangles or tetrahedra give unacceptable results. The use of different discretizations for the isotropic and deviatoric parts of the strain tensor is advocated for preventing this problem. The technique can be easily implemented in existing two‐ and three‐dimensional computer programs. Its effectiveness is demonstrated by several examples.
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