Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects

DOI10.1134/s0965542506070153OpenAlexW1995825180MaRDI QIDQ6122336

D. B. Volkov-Bogorodskiy, V. I. Zubov, S. A. Lur'e, Yuri G. Evtushenko

Publication date: 1 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf449

zbMATH Keywords

mathematical modelingscale effectsanalytical-numerical multipole methoddeformation of nonocompositesPapkovich-Cosserat medium

Mathematics Subject Classification ID

Micromechanical theories (74A60)

Related Items (6)

On variational principles in coupled strain-gradient elasticity ⋮ On general representations of Papkovich-Neuber solutions in gradient elasticity ⋮ Uniqueness theorem in coupled strain gradient elasticity with mixed boundary conditions ⋮ On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity ⋮ Generalized Trefftz method in the gradient elasticity theory ⋮ Systems of functions consistent with inhomogeneities of elliptic and spheroidal shapes in problems of continuum mechanics

Cites Work

• A gauge theory of dislocations and disclinations
• Solution of the Dirichlet problem in a domain containing a rounded corner
• Theories of elasticity with couple-stress
• Micro-structure in linear elasticity
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Block multipole method for boundary value problems in complex‐shaped domains
• On Well‐Posedness for Non‐Linear Problems in the Theory of Elastic Materials with Voids
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