International Journal for Numerical Methods in Engineering · 1980 · 27 citations · 0 references
Natural SciencesMaterials EngineeringMaterials ScienceMechanical Behavior Of MaterialsStructural AnalysisStructural EngineeringElastic DeformationPlastic DeformationPlasticityStress-strain BehaviorStructural MechanicsViscoplastic BehaviorElastoplasticityKinematic HardeningLinear Elastic AnalysisLinear Elastic BehaviorLoadingsPlasticity AnalysisViscoplastic FlowViscoplastic Flow Rule
Abstract Several computer codes have incorporated the ‘overlay’ material models: the volume element, which is characteristic of the material, is composed of sub‐elements with different kinematic hardening, perfectly plastic or even viscoplastic flow rules and different elastic properties, these sub‐elements exhibiting all, however, the same total strain. 1 , 2 In this paper it is demonstrated how the simple mathematical framework we first proposed for elastic‐plastic structures with kinematic hardening material, 3 and we extended to some elastic viscoplastic ones, 4 can easily be applied to these particular ‘overlay’ materials. One of the interesting advantages of this approach is a straightforward analysis of structural response under cyclic loadings by applying the linear elastic analysis.