On the radial multipliers method in the gradient elastic fracture mechanics

DOI10.1134/S199508021907014XzbMath1458.74128OpenAlexW2966053130MaRDI QIDQ2330225

D. B. Volkov-Bogorodskiy, Sergey Lurie

Publication date: 25 October 2019

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

Full work available at URL: https://doi.org/10.1134/s199508021907014x

zbMATH Keywords

mode I crackPapkovich-Neuber representationgeneralized elasticitynonsingular solution

Mathematics Subject Classification ID

Brittle fracture (74R10) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Generalized Eshelby problem in the gradient theory of elasticity ⋮ On structure of fundamental solutions for coupled thermoelasticity and thermal stationary conductivity problems ⋮ Generalized Trefftz method in the gradient elasticity theory ⋮ Generalized functions and generalized regular solutions for traditionally singular problems of mathematical physics

Cites Work

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• Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions
• On the role of gradients in the localization of deformation and fracture
• A simple approach to solve boundary-value problems in gradient elasticity
• Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
• Nonlocal Continuum Field Theories
• Radial multipliers in solutions of the Helmholtz equations
• Bending problems in the theory of elastic materials with voids and surface effects

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