Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials
From MaRDI portal
Publication:3548793
DOI10.1017/S0308210507000121zbMath1151.74034OpenAlexW2128201841MaRDI QIDQ3548793
Alessandro Giacomini, Marcello Ponsiglione
Publication date: 17 December 2008
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210507000121
Nonlinear elasticity (74B20) Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65)
Related Items (17)
Homogenization of many-body structures in fully nonlinear elasticity: A first approach with some applied flavour ⋮ Quasistatic crack growth in finite elasticity with non-interpenetration ⋮ Surface penalization of self-interpenetration in linear and nonlinear elasticity ⋮ Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture ⋮ Existence for dislocation-free finite plasticity ⋮ Quasistatic crack growth in finite elasticity with Lipschitz data ⋮ Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions ⋮ Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary ⋮ Equilibrium for multiphase solids with Eulerian interfaces ⋮ Approximation of a brittle fracture energy with a constraint of non-interpenetration ⋮ Relationship between existence of energy minimizers of incompressible and nearly incompressible magnetostrictive materials ⋮ Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments ⋮ Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity ⋮ Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks ⋮ A phase-field approach to Eulerian interfacial energies ⋮ Homogenization of many-body structures subject to large deformations ⋮ Quasistatic evolution for dislocation-free finite plasticity
This page was built for publication: Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials
