Existence of solutions for the anti-plane stress for a new class of ``strain-limiting'' elastic bodies
type: Item
instance of: scholarly article
title: Existence of solutions for the anti-plane stress for a new class of ``strain-limiting'' elastic bodies
zbMATH Open document ID: 1329.35302
author: Miroslav Bulíček
author: Josef Málek
author: K. R. Rajagopal
author: Jay R. Walton
published in: Calculus of Variations and Partial Differential Equations
publication date: 2015-10-14T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 6494065
MaRDI profile type: Publication
full work available at URL: s00526-015-0859-5
OpenAlex ID: W2168575554
cites work: Integro-Differential Equation for a Finite Crack in a Strip with Surface Effects
cites work: Deformations of an elastic, internally constrained material. I: Homogeneous deformations
cites work: DEFORMATIONS OF AN ELASTIC, INTERNALLY CONSTRAINED MATERIAL PART 2: NONHOMOGENEOUS DEFORMATIONS
cites work: Deformations of an elastic, internally constrained material. III: Small superimposed deformations and waves
cites work: Contemporary perspectives in finite strain plasticity
cites work: Q4544324
cites work: Q4436145
cites work: Q4225049
cites work: Q3252874
cites work: Q4023643
cites work: Q4023644
cites work: Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature
cites work: On the nonlinear elastic response of bodies in the small strain range
cites work: Q3334514
cites work: Q3151387
cites work: A continuum theory of elastic material surfaces
cites work: Q3714635
cites work: Analysis of a mode-III crack in the presence of surface elasticity and a prescribed non-uniform surface traction
cites work: Analysis of plane-strain crack problems (mode-I \& mode-II) in the presence of surface elasticity
cites work: Effect of surface elasticity on an interface crack in plane deformations
cites work: Boundary regularity for solutions of degenerate elliptic equations
cites work: Continuity of Solutions of Parabolic and Elliptic Equations
cites work: Q5557319
cites work: Q5552962
cites work: Q5342911
cites work: A Theory of Fracture Based Upon an Extension of Continuum Mechanics to the Nanoscale
cites work: On implicit constitutive theories.
cites work: The elasticity of elasticity
cites work: Conspectus of concepts of elasticity
cites work: Nonlinear elastic bodies exhibiting limiting small strain
cites work: On a new class of models in elasticity
cites work: On the response of non-dissipative solids
cites work: On a class of non-dissipative materials that are not hyperelastic
cites work: Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
cites work: A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale
cites work: Interfacial Transport Phenomena
cites work: Q5671047
cites work: Q5618637
cites work: Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results
cites work: On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
cites work: Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example
cites work: Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics
cites work: Nonlinear facture mechanics for an elastic bell material
DOI: 10.1007/S00526-015-0859-5
description: scientific article; zbMATH DE number 6494065