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Monotonicity of nonlinear boundary value problems related to deformation theory of plasticity

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  • Alemdar Hasanov

Abstract

We study nonlinear boundary value problems arising in the deformation theory of plasticity. These problems include 3D mixed problems related to nonlinear Lame system, elastoplastic bending of an incompressible hardening plate, and elastoplastic torsion of a bar. For all these different problems, we present a general variational approach based on monotone potential operator theory and prove solvability and monotonicity of potentials. The obtained results are illustrated on numerical examples.

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  • Alemdar Hasanov, 2006. "Monotonicity of nonlinear boundary value problems related to deformation theory of plasticity," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-18, February.
    • Handle: RePEc:hin:jnlmpe:058143
    DOI: 10.1155/MPE/2006/58143
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    Cited by:

    1. Vildan Yazıcı & Zahir Muradoğlu, 2019. "A Mathematical Model and Numerical Solution of a Boundary Value Problem for a Multi-Structure Plate," Mathematics, MDPI, vol. 7(3), pages 1-10, March.

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