A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY — DEFECTS AND CONFIGURATIONAL FORCES

DOI10.1142/S0218202511005830zbMath1242.74024MaRDI QIDQ2892235

Yijiang Lian, Zhiping Li

Publication date: 18 June 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

energy minimizationnonlinear elasticitycavitationconfigurational forceisoparametric finite element

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Hybrid high-order methods for finite deformations of hyperelastic materials ⋮ A hybridizable discontinuous Galerkin formulation for non-linear elasticity ⋮ 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 ⋮ A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity ⋮ Fourier-Chebyshev spectral method for cavitation computation in nonlinear elasticity ⋮ Orientation-preservation conditions on an iso-parametric FEM in cavitation computation ⋮ On the Convergence of a Regularization Scheme for Approximating Cavitation Solutions with Prescribed Cavity Volume ⋮ A lower bound for the void coalescence load in nonlinearly elastic solids ⋮ Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model ⋮ Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity

Cites Work

• The elastic energy-momentum tensor
• The numerical computation of singular minimizers in two-dimensional elasticity
• On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material
• AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• On the existence of minimizers with prescribed singular points in nonlinear elasticity

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