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Implicit integration of constitutive equations in computational plasticity
The paper discusses an extension of the now standard Generalized Backward Euler (GBE) algorithm to a general class of elastoplastic constitutive equations for geomaterials, characterized by mechanical and non-mechanical hardening mechanisms. The resulting integration scheme is well suited for the application to relatively complex, three-invariant yield surface and plastic potential functions. A closed form expression for the consistent tangent stiffness matrix is derived for the general case, extending the work of [TAM 02a] for isotropic- hardening models. The application of the numerical procedure is discussed with reference to a constitutive model for chemical weathering of bonded geomaterials recently proposed by [TAM 02b]. Results from a series of numerical experiments are given to illustrate the accuracy and convergence properties of the algorithm.
Implicit integration of constitutive equations in computational plasticity
The paper discusses an extension of the now standard Generalized Backward Euler (GBE) algorithm to a general class of elastoplastic constitutive equations for geomaterials, characterized by mechanical and non-mechanical hardening mechanisms. The resulting integration scheme is well suited for the application to relatively complex, three-invariant yield surface and plastic potential functions. A closed form expression for the consistent tangent stiffness matrix is derived for the general case, extending the work of [TAM 02a] for isotropic- hardening models. The application of the numerical procedure is discussed with reference to a constitutive model for chemical weathering of bonded geomaterials recently proposed by [TAM 02b]. Results from a series of numerical experiments are given to illustrate the accuracy and convergence properties of the algorithm.
Implicit integration of constitutive equations in computational plasticity
Tamagnini, Claudio (author) / Castellanza, Riccardo (author) / Nova, Roberto (author)
Revue Française de Génie Civil ; 6 ; 1051-1067
2002-01-01
17 pages
Article (Journal)
Electronic Resource
Unknown
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