Uniqueness for Some Mixed Problems of Nonlinear Elastostatics (2504.09600v1)

Published 13 Apr 2025 in math.AP, math-ph, and math.MP

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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Authors (1)

Phoebus Rosakis

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