Alternative Spatial Growth and Decay for Constrained Motion in an Elastic Cylinder

DOI10.1177/1081286505036321zbMath1074.74009OpenAlexW2067154443MaRDI QIDQ5695017

Robin J. Knops, Lawrence E. Payne

Publication date: 11 October 2005

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

Full work available at URL: https://doi.org/10.1177/1081286505036321

zbMATH Keywords

differential inequalitycross-sectional energy fluxnonhomogeneous anisotropic linear elastic material

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

Related Items (9)

Fast spatial behavior in higher order in time equations and systems ⋮ Alternative Spatial Growth and Decay Estimates for Constrained Motion in an Elastic Cylinder with Voids ⋮ On spatial evolution of the solution of a nonstandard problem in linear thermo-microstretch elasticity ⋮ On uniqueness for a family of nonstandard problems ⋮ Spatial behavior for some non-standard problems in linear thermoelasticity without energy dissipation ⋮ Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder ⋮ A note on a non-standard problem for an equation with a delay term ⋮ A note on semigroup arguments in nonstandard problems ⋮ On two classes of nonstandard parabolic problems

Cites Work

• On Saint-Venant's principle in linear elastodynamics
• Energy bounds for some nonstandard problems in partial differential equations.

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