Open Access

ARTICLE

Analysis of Densification and Swelling of Solids Using Pressure Dependent Plasticity Criteria

by J. Larsson¹, J. Faleskog¹, A.R. Massih²

1 Royal Institute of Technology, SE-100 44 Stockholm, Sweden
2 Malmö University, SE-205 06 Malmö, Sweden
3 Quantum Technologies AB, SE-751 83 Uppsala, Sweden

Computer Modeling in Engineering & Sciences 2004, 5(1), 73-80. https://doi.org/10.3970/cmes.2004.005.073

Abstract

We consider certain constitutive laws for analyzing the elastic-plastic behavior of granular material, which is subjected to compressive hydrostatic stresses and concomitantly undergoing swelling. The plastic yield functions for this kind of materials are pressure and porosity dependent. The constitutive laws are formulated in a finite element (FE) framework for applications to structures involving granular/porous materials. We have employed an implicit and unconditionally stable algorithm for numerical integration of the constitutive relations. The numerical method has been programmed in a FE computer code. The code is then used to study a plane strain problem for a range of model parameters and yield criteria, where the stress response of material under compressive loads is evaluated. Finally the method is applied to the case of B$_4$C powder encased in a stainless steel tube, which is subjected to compressive loads under swelling condition.

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