Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity
type: Item
instance of: scholarly article
title: Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity
zbMATH Open document ID: 1193.74008
author: P. A. Gourgiotis
author: H. G. Georgiadis
published in: Journal of the Mechanics and Physics of Solids
publication date: 2010-08-27T00:00:00Z
full work available at URL: 19887.pdf
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74H10
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 5775647
zbMATH Keywords: cracks
zbMATH Keywords: microstructure
zbMATH Keywords: dipolar gradient elasticity
zbMATH Keywords: asymptotics
zbMATH Keywords: hypersingular integral equations
MaRDI profile type: Publication
OpenAlex ID: W1971586019
cites work: Q5558293
cites work: Mixed finite element formulations of strain-gradient elasticity problems
cites work: Fracture mechanics. Fundamentals and applications.
cites work: Plane asymptotic crack-tip solutions in gradient elasticity
cites work: Elasticity
cites work: The mechanics of size-dependent indentation
cites work: Multiple-zone sliding contact with friction on an anisotropic thermoelastic half-space
cites work: An influence function for the intensity factor in tensile fracture
cites work: Integral equations with hypersingular kernels--theory and applications to fracture mechanics
cites work: Fracture analysis of cellular materials: a strain gradient model.
cites work: A discrete dislocation analysis of mode I crack growth
cites work: Q4148336
cites work: Effects of strain-gradient on the stress-concentration at a cylindrical hole in a field of uniaxial tension
cites work: THE PRODUCT OF DISTRIBUTIONS
cites work: Microbuckle initiation in fibre composites: A finite element study
cites work: Q4338620
cites work: Mechanism-based strain gradient plasticity. I: Theory
cites work: Surface Elastic Waves in Cubic Crystals
cites work: Q5724171
cites work: Torsional surface waves in a gradient-elastic half-space.
cites work: The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
cites work: Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity
cites work: Energy theorems and the \(J\)-integral in dipolar gradient elasticity
cites work: Problems of the Flamant-Boussinesq and Kelvin type in dipolar gradient elasticity
cites work: The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
cites work: Structural analysis of gradient elastic components
cites work: Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity
cites work: Balance laws and energy release rates for cracks in dipolar gradient elasticity
cites work: Distributed dislocation approach for cracks in couple-stress elasticity: shear modes
cites work: An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity
cites work: Solution of crack problems. The distributed dislocation technique
cites work: Mixed mode near-tip fields for cracks in materials with strain-gradient effects
cites work: Mechanism-based strain gradient plasticity. II: Analysis
cites work: A conventional theory of mechanism-based strain gradient plasticity.
cites work: A finite deformation theory of strain gradient plasticity
cites work: Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2D gradient elasticity
cites work: On the solution of integral equations with strongly singular kernels
cites work: Q4337002
cites work: Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
cites work: End-point behaviour of solutions to hypersingular integral equations
cites work: Micro-structure in linear elasticity
cites work: On first strain-gradient theories in linear elasticity
cites work: Effects of couple-stresses in linear elasticity
cites work: Numerical evaluation of hypersingular integrals
cites work: Q3844606
cites work: Effects of characteristic material lengths on mode III crack propagation in couple stress elastic-plastic materials
cites work: On the effects of characteristic lengths in bending and torsion on mode III crack in couple stress elasticity
cites work: Q5617574
cites work: Fracture in a higher-order elastic continuum
cites work: Q4260179
cites work: Elastic materials with couple-stresses
cites work: Gauss quadrature rules for finite part integrals
cites work: Convergence and performance of theh- and p-extensions with mixed finite elementc0-continuity formulations, for tension and buckling of a gradient elastic beam
cites work: A boundary element method for solving 3D static gradient elastic problems with surface energy
cites work: Q5509552
cites work: Q4337008
cites work: SH surface waves in a homogeneous gradient-elastic half-space with surface energy
cites work: Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity
cites work: A new finite element method for strain gradient theories and applications to fracture analyses

Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity (DOI)
DOI: 10.1016/J.JMPS.2009.07.005