Elastodynamic Griffith fracture on prescribed crack paths with kinks

DOI10.1007/s00030-019-0607-1zbMath1432.35134OpenAlexW2991918257MaRDI QIDQ2291751

Christopher J. Larsen, Rodica Toader, Gianni Dal Maso

Publication date: 31 January 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-019-0607-1

zbMATH Keywords

elastodynamicsdynamic fracture mechanicscracking domainsGriffith's criterion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Brittle fracture (74R10) Wave equation (35L05) Linear waves in solid mechanics (74J05)

Related Items (2)

Nonlocal elastodynamics and fracture ⋮ Discrete approximation of dynamic phase-field fracture in visco-elastic materials

Cites Work

• Unnamed Item
• Existence for wave equations on domains with arbitrary growing cracks
• Mode III and mixed mode I-II crack kinking under stress-wave loading
• Dynamic kinking of a crack in plane strain
• Mode-III crack kinking under stress-wave loading
• Brittle fracture dynamics with arbitrary paths. I: Kinking of a dynamic crack in general antiplane loading.
• On the Cauchy problem for the wave equation on time-dependent domains
• Existence for constrained dynamic Griffith fracture with a weak maximal dissipation condition
• Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition
• Linear hyperbolic systems in domains with growing cracks
• Dynamic Propagation of a Kinked or Bifurcated Crack in Antiplane Strain
• Dynamic Fracture Mechanics
• The Wave Equation on Domains with Cracks Growing on a Prescribed Path: Existence, Uniqueness, and Continuous Dependence on the Data
• VI. The phenomena of rupture and flow in solids

This page was built for publication: Elastodynamic Griffith fracture on prescribed crack paths with kinks