Application of Lie transformation group methods to classical linear theories of rods and plates

DOI10.1016/S0020-7683(02)00640-6zbMath1032.74580arXivmath-ph/0006010OpenAlexW2121535646WikidataQ115340574 ScholiaQ115340574MaRDI QIDQ1412803

D. Massart

Publication date: 25 November 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0006010

zbMATH Keywords

PlatesConservation lawsTimoshenko beamsReissner-Mindlin platesLie symmetry groupsRodsBernoulli-Euler beamsGroup-invariant solutionsElastostaticsGeneralized symmetriesPoisson-Kirchhoff plates

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (3)

Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Symmetries and conservation laws of a system of Timoshenko beam type with smooth coefficients ⋮ Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics

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