Uniqueness for Some Mixed Problems of Nonlinear Elastostatics

2025/04/13 by Phoebus Rosakis, Rosakis, Phoebus
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Topology Optimization in Engineering #Elasticity and Wave Propagation

paper · pdf · doi:10.48550/arxiv.2504.09600

Abstract

We show that certain mixed displacement/traction problems (including live pressure tractions) of nonlinear elastostatics that are solved by a homogeneous deformation, admit no other classical equilibrium solution under suitable constitutive inequalities and domain boundary restrictions. This extends a well known theorem of Knops and Stuart on the pure displacement problem.

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