The scale-dependent deformation model of a layered rectangle

DOI10.1134/s0037446624020198MaRDI QIDQ6122059

A. O. Vatul'yan, S. A. Nesterov

Publication date: 27 March 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

separation of variables methodtotal stresscouple stress modelFourier series displacement solutionone-parameter gradient elasticity theory

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Composite and mixture properties (74E30)

Cites Work

• Elastic materials with couple-stresses
• A simple approach to solve boundary-value problems in gradient elasticity
• Micro-structure in linear elasticity
• Lamé's strain potential method for plane gradient elasticity problems

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