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Drucker-Prager plasticity model in the framework of OSB-PD theory with shear deformation
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Drucker-Prager plasticity model in the framework of OSB-PD theory with shear deformation
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Journal Article
Drucker-Prager plasticity model in the framework of OSB-PD theory with shear deformation
2023
Overview
The Drucker-Prager (D-P) model is a representative elastoplastic model for geomaterials because hydrostatic pressure is considered. This paper proposes an ordinary state-based peridynamic (OSB-PD) model with shear deformation based on D-P model and the associated flow rule to study the plastic and damage behaviors of geomaterials. By considering the second invariant of the stress deviator J2 and the first invariant function of stress tensor I1 as the function of peridynamic energy density, the D-P yield function in nonlocal form can be used in peridynamics. In addition, the equivalent stress and equivalent plastic strain in this PD model with shear deformation are determined. Several examples are used to verify the validity of the proposed PD model. The PD results are compared with those obtained by the finite element method (FEM). It implies that the proposed method is effective and accurate.
Publisher
Springer Nature B.V
Subject
/ Tensors
