Elastic fields around a nanosized spheroidal cavity under arbitrary uniform remote loadings

DOI10.1016/j.euromechsol.2008.05.001zbMath1155.74309OpenAlexW1974167149MaRDI QIDQ1005348

J. Martínez

Publication date: 9 March 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2008.05.001

zbMATH Keywords

elastic fieldpotential functionsurface elasticityspheroidal cavity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (10)

Stress field and effective elastic moduli of periodic spheroidal particle composite with Gurtin-Murdoch interface ⋮ Analysis of nanocontact problems of layered viscoelastic solids with surface energy effects under different loading patterns ⋮ The scattering of SH-waves by a nano arc-shaped hole on a half-plane ⋮ Scattering of vertical shear waves by a cluster of nanosized cylindrical holes with surface effect ⋮ Fundamental solutions to Hertzian contact problems at nanoscale ⋮ Formulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinates ⋮ Finite-volume homogenization and localization of nanoporous materials with cylindrical voids. I: Theory and validation ⋮ Anti-plane shear Green's functions for an isotropic elastic half-space with a material surface ⋮ On the anti-plane shear of an elliptic nano inhomogeneity ⋮ Surface effects on the scattering of SH-wave around an arbitrary shaped nano-cavity

Cites Work

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• Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity
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• A continuum theory of elastic material surfaces
• Surface stress in solids
• Size-dependent rigidities of nanosized torsional elements.
• Stress concentration around a nano-scale spherical cavity in elastic media: effect of surface stress
• Impact of surface stress on stress concentration
• Size-Dependent Elastic State of Ellipsoidal Nano-Inclusions Incorporating Surface∕Interface Tension

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