Dynamic weight functions for a moving crack. I. Mode I loading

DOI10.1016/0022-5096(94)00075-GzbMath0870.73057OpenAlexW2086489637MaRDI QIDQ1354922

Alexander B. Movchan, John R. Willis

Publication date: 22 September 1997

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(94)00075-g

zbMATH Keywords

Fourier transformsstress intensity factorWiener-Hopf problemCagniard's techniquefirst-order perturbation theoryinfinite isotropic elastic bodyplane semi-infinite crack

Mathematics Subject Classification ID

Fracture and damage (74R99)

Related Items (31)

Modern topics and challenges in dynamic fracture ⋮ A simple re-derivation of logarithmic disordering of a dynamic planar crack due to small random heterogeneities ⋮ Dynamic weight functions for a moving crack. II: Shear loading ⋮ A spectral method for three-dimensional elastodynamic fracture problems ⋮ Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review ⋮ Perturbation of mode III interfacial cracks ⋮ Fundamental solution and the weight functions of the transient problem on a semi‐infinite crack propagating in a half‐plane ⋮ Integral identities for a semi-infinite interfacial crack in 2D and 3D elasticity ⋮ Effective toughness of heterogeneous brittle materials ⋮ Second-order in-plane dynamic perturbation of a crack propagating under shear loading ⋮ Stroh formalism in analysis of skew-symmetric and symmetric weight functions for interfacial cracks ⋮ Perturbation of a dynamic planar crack moving in a model elastic solid ⋮ Stability of intersonic shear crack propagation ⋮ Crack front waves in an anisotropic medium ⋮ High-order asymptotics and perturbation problems for 3D interfacial cracks ⋮ Statistics of the deformation of the front of a tunnel-crack propagating in some inhomogeneous medium ⋮ Perturbative simulations of crack front waves ⋮ Interfacial cracks in piezoelectric bimaterials: an approach based on weight functions and boundary integral equations ⋮ A multiple-scales approach to crack-front waves ⋮ Can crack front waves explain the roughness of cracks? ⋮ Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks ⋮ The influence of viscoelasticity on crack front waves ⋮ Geometrical disorder of the fronts of a tunnel-crack propagating in shear in some heterogeneous medium ⋮ The deformation of the front of a 3D interface crack propagating quasistatically in a medium with random fracture properties ⋮ Dynamic stability of a propagating crack. ⋮ Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack ⋮ Stability of an intersonic shear crack to a perturbation of its edge ⋮ Three-dimensional dynamic perturbation of a propagating crack ⋮ Mode III stress intensity factor ahead of a rough crack ⋮ A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event ⋮ Crack front waves

Cites Work

• Unnamed Item
• The stress intensity factor history for an advancing crack under three- dimensional loading
• An influence function for the intensity factor in tensile fracture
• Three-dimensional perturbation solution for a dynamic planar crack moving unsteadily in a model elastic solid
• Some remarks on elastic crack-tip stress fields
• Application of Papkovich-Neuber potentials to a crack problem
• Dynamic Fracture Mechanics
• Self-similar problems in elastodynmics

This page was built for publication: Dynamic weight functions for a moving crack. I. Mode I loading