\(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity
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Publication:2347184
DOI10.1007/s00205-014-0820-3zbMath1457.35081OpenAlexW2074797331MaRDI QIDQ2347184
Duvan Henao, Xianmin Xu, Carlos Mora-Corral
Publication date: 27 May 2015
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10486/665481
Nonlinear elasticity (74B20) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (10)
Global invertibility of Sobolev maps ⋮ A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity ⋮ A numerical study of void coalescence and fracture in nonlinear elasticity ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity ⋮ Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity ⋮ On the lack of compactness in the axisymmetric neo-Hookean model ⋮ \(\Gamma\)-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ A lower bound for the void coalescence load in nonlinearly elastic solids
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