Guaranteed Upper and Lower Bounds on the Uniform Load of Contact Problems in Elasticity

DOI10.1137/15M1046563zbMath1346.74051arXiv1608.04612OpenAlexW2518651693MaRDI QIDQ3188132

Alain Goriely, L. Angela Mihai

Publication date: 17 August 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04612

zbMATH Keywords

variational principlescohesionunilateral contactelastic materialdead loadfinite strain deformation

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Variational principles of physics (49S05) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Related Items (2)

Debonding of cellular structures with fibre-reinforced cell walls under shear deformation ⋮ Microstructure-based hyperelastic models for closed-cell solids

Cites Work

• Equilibration techniques for solving contact problems with Coulomb friction
• A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures
• Unilateral problems in nonlinear three-dimensional elasticity
• Injectivity and self-contact in nonlinear elasticity
• Variational principles in finite elastostatics
• Applications of variational principles in finite elasticity
• Solution of variational inequalities in mechanics
• An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads
• Numerical simulation of some biomechanical problems
• Approximation of incompressible large deformation elastic problems: some unresolved issues
• A dual Lagrange method for contact problems with regularized contact conditions
• Some Open Problems in Elasticity
• Contact Mechanics
• Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures
• Computational Contact Mechanics
• Variational inequalities
• Nonlinear problems of elasticity
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