Optimal rigid inclusion shapes in elastic bodies with cracks
type: Item
instance of: scholarly article
title: Optimal rigid inclusion shapes in elastic bodies with cracks
zbMATH Open document ID: 1318.74016
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2013-03-04T00:00:00Z
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 6140987
zbMATH Keywords: crack
zbMATH Keywords: rigid inclusion
zbMATH Keywords: inclusion shape
zbMATH Keywords: mutual non-penetration
zbMATH Keywords: variational inequality
zbMATH Keywords: control problem
author: Alexander Khludnev
author: Matteo Negri
MaRDI profile type: Publication
full work available at URL: s00033-012-0220-1
OpenAlex ID: W1970054439
cites work: Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile
cites work: Crack on the boundary of two overlapping domains
cites work: Q4023365
cites work: On the energy release rate in quasi-static elastic crack propagation
cites work: Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions
cites work: Q3574187
cites work: On safe crack shapes in elastic bodies
cites work: Asymptotics of solutions near crack tips for Poisson equation with inequality type boundary conditions
cites work: On elastic bodies with thin rigid inclusions and cracks
cites work: Optimal control of cracks in elastic bodies with thin rigid inclusions
cites work: Q4815497
cites work: On stress singularities near the boundary of a polygonal crack
cites work: Elliptic problems in domains with piecewise smooth boundaries
cites work: QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION
cites work: A comparative analysis on variational models for quasi-static brittle crack propagation
cites work: Unilateral contact of elastic plates with rigid inclusions
cites work: First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front
cites work: The problem on a unilateral contact of two plates, one of which contains a rigid inclusion
cites work: Griffith formula and Cherepanov-Rice integral for a plate with a rigid inclusion and a crack
DOI: 10.1007/S00033-012-0220-1
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description: scientific article; zbMATH DE number 6140987