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The Primal Variational Problem of Elastoplasticity
Book chapter

The Primal Variational Problem of Elastoplasticity

Weimin Han and B. Daya Reddy
Plasticity, pp.187-223
Interdisciplinary Applied Mathematics, Springer New York
10/26/2012
DOI: 10.1007/978-1-4614-5940-8_7

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Abstract

The initial–boundary value problem of elastoplasticity may be formulated in two alternative ways, depending on which of the two forms of the plastic flow law (see Section 4.2) is adopted.We describe as the primal problem the version that takes as its point of departure the flow law that uses the dissipation function, for example as in (4.38), while the dual problem is formulated using the form of the flow law that makes use of the yield function, as in (4.35) for example.
Bilinear Form Isotropic Hardening Kinematic Hardening Plastic Strain Variational Inequality

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