Effects of strain-gradient on the stress-concentration at a cylindrical hole in a field of uniaxial tension

DOI10.1007/BF01535082zbMath0198.57702MaRDI QIDQ2540399

G. Rosenfeld, N. N. Eshel

Publication date: 1970

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

mechanics of solids

Related Items (18)

Gradient-enriched finite element methodology for axisymmetric problems ⋮ Strain gradient theory in orthogonal curvilinear coordinates ⋮ The Boussinesq problem in dipolar gradient elasticity ⋮ Plane strain gradient elastic rectangle in tension ⋮ Analytical solutions for the thick-walled cylinder problem modeled with an isotropic elastic second gradient constitutive equation ⋮ Formulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinates ⋮ The modified version of strain gradient and couple stress theories in general curvilinear coordinates ⋮ Asymptotic fracture modes in strain-gradient elasticity: size effects and characteristic lengths for isotropic materials ⋮ Higher order surface couplings in elastic ferromagnets ⋮ A new high-order deformation theory and solution procedure based on homogenized strain energy density ⋮ A unified theory for cavity expansion in cohesive-frictional micromorphic media ⋮ Problems of the Flamant-Boussinesq and Kelvin type in dipolar gradient elasticity ⋮ On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity ⋮ Axi-symmetric problems in elastic materials of grade two ⋮ Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity ⋮ Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models ⋮ Analytical elastic-plastic analyses of a spherical shell subjected to hydrostatic tension based on a strain gradient model for plastic metals ⋮ Constitutive equations for porous plane-strain gradient elasticity obtained by homogenization

Cites Work

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• Elastic materials with couple-stresses
• Theories of elasticity with couple-stress
• Multipolar continuum mechanics
• On first strain-gradient theories in linear elasticity
• Simple force and stress multipoles
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• Elasticita asimmetrica
• The Existence of Interfacial Couples in Infinitesimal Elasticity

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