Dynamic crack propagation in a 2D elastic body: the out-of-plane case

DOI10.1016/j.jmaa.2006.06.043zbMath1342.74143OpenAlexW2080106661MaRDI QIDQ868758

Serge Nicaise, Anna-Margarete Sändig

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.043

zbMATH Keywords

wave equationcrack propagationenergy balance law

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (21)

Radial solutions for a dynamic debonding model in dimension two ⋮ Linear hyperbolic systems in domains with growing cracks ⋮ Stochastic and partial differential equations on non-smooth time-dependent domains ⋮ Dynamic crack growth in viscoelastic materials with memory ⋮ On the 1d wave equation in time-dependent domains and the problem of debond initiation ⋮ On the quasistatic limit of dynamic evolutions for a peeling test in dimension one ⋮ For the parabolic Lamé system on polygonal domains: the transport equation ⋮ On the Cauchy problem for the wave equation on time-dependent domains ⋮ Analytical and numerical treatment of a dynamic crack model ⋮ A minimization approach to the wave equation on time-dependent domains ⋮ Analysis of a Dynamic Peeling Test with Speed-Dependent Toughness ⋮ A dynamic model for viscoelasticity in domains with time-dependent cracks ⋮ Wave-crack interaction in finite elastic bodies ⋮ Nonlocal elastodynamics and fracture ⋮ Energy-dissipation balance of a smooth moving crack ⋮ Existence and uniqueness of dynamic evolutions for a peeling test in dimension one ⋮ From adhesive to brittle delamination in visco-elastodynamics ⋮ An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains ⋮ Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition ⋮ A dynamic model for viscoelastic materials with prescribed growing cracks ⋮ Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition

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