An efficient return algorithm for non-associated plasticity with linear yield criteria in principal stress space |
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Authors: | Johan Clausen Lars Damkilde Lars Andersen |
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Affiliation: | aEsbjerg Institute of Technology, Aalborg University, Niels Bohrs Vej 8, 6700 Esbjerg, Denmark;bDepartment of Civil Engineering, Aalborg University, Sohngårdsholmvej 57, 9000 Aalborg, Denmark |
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Abstract: | An efficient return algorithm for stress update in numerical plasticity computations is presented. The yield criterion must be linear in principal stress space and can be composed of any number of yield planes. Each of these yield planes may have an associated or non-associated flow rule. The stress return and the formation of the constitutive matrix is carried out in principal stress space. Here the manipulations simplify and rely on geometrical arguments. The singularities arising at the intersection of yield planes are dealt with in a straightforward way also based on geometrical considerations. The method is exemplified on non-associated Mohr–Coulomb plasticity throughout the paper. |
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Keywords: | Plastic stress update Return mapping Non-associated plasticity Geotechnics Mohr– Coulomb yield criterion Non-linear FEM |
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