Existence of weak solutions for non-simple elastic surface models

DOI10.1007/S10659-021-09840-WzbMath1501.74008arXiv2008.10722OpenAlexW3169619379MaRDI QIDQ2085522

Timothy J. Healey

Publication date: 18 October 2022

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10722

zbMATH Keywords

Euler-Lagrange equationspolyconvexityenergy minimizernonlinear membraneincompressible Mooney-Rivlin solidsecond deformation gradient

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Energy minimizing configurations for single-director Cosserat shells

Cites Work

• Wrinkling behavior of highly stretched rectangular elastic films via parametric global bifurcation
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• Polyconvexity and existence theorem for nonlinearly elastic shells
• Injective weak solutions in second-gradient nonlinear elasticity
• Bending energy of highly elastic membranes
• Elastic surface—substrate interactions
• Relaxed energy densities for large deformations of membranes
• Bending energy of highly elastic membranes. II
• Nonlinear problems of elasticity
• Direct methods in the calculus of variations
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