Thin-layer asymptotics in the generalized Prandtl problem for an inhomogeneously thick plastic material

DOI10.3103/S0025654422080143OpenAlexW4360996093MaRDI QIDQ2695910

D. V. Georgievskii

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654422080143

zbMATH Keywords

stratificationlayered compositeasymptotic integration methodMises-Hencky yield stress criterionperfect rigid plastic material

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Composite and mixture properties (74E30)

Cites Work

• Derivation of an approximate theory of shells by means of asymptotic integration of the equations of the theory of elasticity
• Thin‐layer inertial effects in plasticity and dynamics in the Prandtl problem
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