Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials
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Publication:380003
DOI10.1007/s10659-012-9409-yzbMath1278.74011OpenAlexW2024343646MaRDI QIDQ380003
Giulio Sciarra, Stefano Vidoli
Publication date: 11 November 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-012-9409-y
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Cites Work
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- Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
- On the effects of characteristic lengths in bending and torsion on mode III crack in couple stress elasticity
- The variational approach to fracture
- Distributed dislocation approach for cracks in couple-stress elasticity: shear modes
- The \(1/r\) singularity in weakly nonlinear fracture mechanics
- Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity
- Hypertractions and hyperstresses convey the same mechanical information
- Plane asymptotic crack-tip solutions in gradient elasticity
- Numerical experiments in revisited brittle fracture
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- Interacting micro-cracks near the tip in the process zone of a macro- crack
- The mechanics of size-dependent indentation
- On first strain-gradient theories in linear elasticity
- Effects of strain-gradient on the stress-concentration at a cylindrical hole in a field of uniaxial tension
- Micro-structure in linear elasticity
- A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles
- Generalized Hooke's law for isotropic second gradient materials
- The role of edge forces in conservation laws and energy release rates of strain-gradient solids
- A reformulation of strain gradient plasticity.
- Anti-plane shear Lamb's problem treated by gradient elasticity with surface energy.
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