Stress field around an arbitrarily shaped nanosized hole with surface tension

DOI10.1007/S00707-014-1148-7zbMath1326.74014OpenAlexW2006541028MaRDI QIDQ479637

Yong-Cai Geng, Sumit K. Garg

Publication date: 5 December 2014

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-014-1148-7

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Micromechanical theories (74A60)

Related Items (14)

Surface Dislocation Interaction by the Complete Gurtin–Murdoch Model ⋮ Harmonic holes with surface tension in an elastic plane under uniform remote loading ⋮ Stress field in a porous material containing periodic arbitrarily-shaped holes with surface tension ⋮ Influence of hole shape and surface elasticity on anti-plane shear properties of porous structures with periodic holes ⋮ BIEM analysis of a graded nano‐cracked elastic half‐plane under time‐harmonic waves ⋮ Design of a neutral elastic inhomogeneity via thermal expansion ⋮ Design of periodic harmonic holes with surface tension in plane deformations ⋮ Interaction between two nanoscale elliptical holes with surface tension ⋮ Surface tension-induced interfacial stresses around a nanoscale inclusion of arbitrary shape ⋮ The influence of an arbitrarily shaped hole on the effective properties of a thermoelectric material ⋮ Surface effects on an electrically permeable elliptical nano-hole or nano-crack in piezoelectric materials under anti-plane shear ⋮ Thermally neutral nano-hole and its effect on the elastic field ⋮ A nanoscale hole of arbitrary shape with surface elasticity ⋮ Effective in-plane stiffness of unidirectional periodic nanoporous materials with surface elasticity

Cites Work

• A continuum theory of elastic material surfaces
• Surface stress in solids
• Size-dependent rigidities of nanosized torsional elements.
• Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
• Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
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