On the effects of characteristic lengths in bending and torsion on mode III crack in couple stress elasticity
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Publication:837288
DOI10.1016/j.ijsolstr.2008.01.010zbMath1169.74548OpenAlexW2166951434MaRDI QIDQ837288
Publication date: 10 September 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.01.010
fractureintegral transformsmicrostructuresasymptotic analysisanalytic functionscouple stress elasticity
Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Micromechanics of solids (74M25)
Related Items (20)
On fracture criteria for dynamic crack propagation in elastic materials with couple stresses ⋮ Some problems of linear elasticity for cylinders in micropolar orthotropic material ⋮ Reduced warp in torsion of reticulated foam due to Cosserat elasticity: experiment ⋮ Torsion of elastic anisotropic micropolar cylindrical bars ⋮ A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate ⋮ Steady-state propagation of a mode III crack in couple stress elastic materials ⋮ Effect of couple-stresses on the stress intensity factors for a crack in an infinite elastic strip under tension ⋮ Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia ⋮ Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials ⋮ Couple stresses and the fracture of rock ⋮ Antiplane shear crack in a prestressed elastic medium based on the couple stress theory ⋮ Indentation of a free beam resting on an elastic substrate with an internal lengthscale ⋮ An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity ⋮ Second-neighbor interactions in classical field theories: invariance of the relative power and covariance ⋮ Antiplane Stoneley waves propagating at the interface between two couple stress elastic materials ⋮ A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials ⋮ The role of edge forces in conservation laws and energy release rates of strain-gradient solids ⋮ Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity ⋮ Energy release rate, the crack closure integral and admissible singular fields in fracture mechanics ⋮ Plane asymptotic crack-tip solutions in gradient elasticity
Cites Work
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- A new finite element method for strain gradient theories and applications to fracture analyses
- On the origin of size effects in small-strain elasticity of solid polymers
- A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
- A continuum theory for fibre-reinforced composites
- The effect of couple stresses on the tip of a crack
- Gradient elasticity with surface energy: Mode-III crack problem
- Mixed finite element formulations of strain-gradient elasticity problems
- Microbuckle initiation in fibre composites: A finite element study
- Elastic constants for granular materials modeled as first-order strain-gradient continua.
- A note on microstructural interpretation of the material constants for couple stress theory
- Conservation integrals in couple stress elasticity
- Finite element solutions for plane strain mode I crack with strain gradient effects.
- Mode III crack growth in linear hardening materials with strain gradient effects
- Fracture analysis of cellular materials: a strain gradient model.
- Macroscopic modelling of structured materials: relationship between orthotropic Cosserat continuum and rigid elements
- An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene
- Finite element method for linear micropolar elasticity and numerical study of some scale effects phenomena in MEMS
- A multiscale model for the ductile fracture of crystalline materials
- Effects of characteristic material lengths on mode III crack propagation in couple stress elastic-plastic materials
- Strain Gradient Elasticity for Antiplane Shear Cracks: A Hypersingular Integrodifferential Equation Approach
- The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
- Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials—Part I: Crack Perpendicular to the Material Gradation
- Dynamic Fracture Mechanics
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