Nonlinear 3D mechanical models for implicit standard materials

Andaluzia Matei

doi:10.1016/j.cnsns.2025.108793

Nonlinear 3D mechanical models for implicit standard materials

2025-07-01

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Andaluzia Matei *

DOI：10.1016/j.cnsns.2025.108793

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The present paper is concerned with the analysis of a nonlinear 3D model in mechanics of deformable solids whose material law is represented by an implicit subdifferential inclusion governed by a bipotential. In this context, we draw attention to a particular class of bipotentials by introducing the notion of g-bipotential. The weak formulation of the model under consideration leads to a variational system which is solved by a minimization technique, in spite of its strongly coupling feature. In addition to existence and uniqueness results we also pay attention to data dependence results.

Keyword:

Nonlinear models in mechanics of deformable solids

Implicit standard materials

Bipotential

Variational system

Minimization

Weak solution

Convergence results

Nonlinear 3D mechanical models for implicit standard materials

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