The modeling of deformable bodies with frictionless (self-)contacts

DOI10.1007/s00205-007-0091-3zbMath1138.74038OpenAlexW2099095904MaRDI QIDQ930406

Olivier Pantz

Publication date: 30 June 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0091-3

zbMATH Keywords

existenceEuler-Lagrange equationsenergy minimizernonlinear hyperelastic bodies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (6)

Injectivity and self-contact in second-gradient nonlinear elasticity ⋮ A descent scheme for thick elastic curves with self-contact and container constraints ⋮ A new example for the Lavrentiev phenomenon in nonlinear elasticity ⋮ Equilibrium of immersed hyperelastic solids ⋮ Variations of deformations with self-contact on Lipschitz domains ⋮ Homogenization of many-body structures subject to large deformations

Cites Work

• Unnamed Item
• Unilateral problems in nonlinear three-dimensional elasticity
• Injectivity and self-contact in nonlinear elasticity
• Regularity properties of deformations with finite energy
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Global curvature and self-contact of nonlinearly elastic curves and rods
• A variational approach to obstacle problems for shearable nonlinearly elastic rods
• Variational approach to contact problems in nonlinear elasticity.
• Euler-Lagrange equations for nonlinearly elastic rods with self-contact
• Global injectivity and topological constraints for spatial nonlinearly elastic rods
• The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• Quasi-convexity and the lower semicontinuity of multiple integrals
• The Relaxed Energy Density for Isotropic Elastic Membranes
• Almost-everywhere injectivity in nonlinear elasticity
• Global invertibility of Sobolev functions and the interpenetration of matter
• Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems

This page was built for publication: The modeling of deformable bodies with frictionless (self-)contacts