Gradient elasticity and size effect for the borehole problem

DOI10.1007/S00707-018-2109-3zbMath1396.74078OpenAlexW2800494612MaRDI QIDQ1790283

Elias C. Aifantis, G. Efremidis, Chengzhi Qi, M. Dorogov, Hao-xiang Chen

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00707-018-2109-3

Mathematics Subject Classification ID

Soil and rock mechanics (74L10)

Related Items (5)

Modelling the spatially periodic deformation pattern of the surrounding rock near deep level tunnels by strain gradient elasticity theory ⋮ Non-local criteria for the borehole problem: gradient elasticity versus finite fracture mechanics ⋮ Gradient extension of classical material models: from nuclear \& condensed matter scales to Earth \& cosmological scales ⋮ A procedure for the experimental identification of the strain gradient characteristic length ⋮ Aifantis versus Lam strain gradient models of Bishop elastic rods

Cites Work

• A simple approach to solve boundary-value problems in gradient elasticity
• Unified thermodynamic framework for nonlocal/gradient continuum theories
• Damage and size effect during superplastic deformation.
• Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
• Plane-strain problems for a class of gradient elasticity models -- a stress function approach
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
• The yield point and initial stages of plastic strain in mild steel subjected to uniform and non-uniform stress distributions

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