Modeling of cracks with nonlinear effects at the tip zones and the generalized energy criterion
type: Item
instance of: scholarly article
title: Modeling of cracks with nonlinear effects at the tip zones and the generalized energy criterion
zbMATH Open document ID: 1261.74029
author: Sergei A. Nazarov
author: Maria Specovius-Neugebauer
published in: Archive for Rational Mechanics and Analysis
publication date: 2012-11-05T00:00:00Z
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6101971
zbMATH Keywords: matched asymptotic expansion
zbMATH Keywords: energy functional
zbMATH Keywords: generalized Green's formulae
MaRDI profile type: Publication
full work available at URL: s00205-011-0444-9
OpenAlex ID: W1970190168
cites work: Q5318420
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Q4423422
cites work: Q5615302
cites work: The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems.
cites work: Griffith formulae for elasticity systems with unilateral conditions in domains with cracks
cites work: Energy release rate for cracks in finite‐strain elasticity
cites work: Q5589570
cites work: Q4362327
cites work: Crack kinking from an initially closed crack
cites work: The Thermomechanics of Plasticity and Fracture
cites work: Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
cites work: Q5711223
cites work: An asymptotic model of the Griffith criterion under small kinking and curving of a crack
cites work: Elliptic problems in domains with piecewise smooth boundaries
cites work: Q4373265
cites work: Selfadjoint extensions of the Neumann Laplacian in domains with cylindrical outlets
cites work: Q4001822
cites work: Applied functional analysis. Main principles and their applications
DOI: 10.1007/S00205-011-0444-9
description: scientific article; zbMATH DE number 6101971