End effects for plane deformations of an elastic anisotropic semi- infinite strip

DOI10.1007/BF00042143zbMath0833.73005OpenAlexW2059497780MaRDI QIDQ1898357

Cornelius O. Horgan, Kristin L. Miller

Publication date: 26 February 1996

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042143

zbMATH Keywords

exponentially decay rate

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Saint-Venant's principle (74G50)

Related Items (5)

Robust multigrid preconditioners for the high-contrast biharmonic plate equation ⋮ End effects for anti-plane shear deformations of sandwich structures ⋮ Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids ⋮ Numerical analysis of end effects in laminated piezoelectric circular cylinders ⋮ Stress effect decay estimates for anisotropic material in a semi-infinite strip

Cites Work

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• An energy estimate for the biharmonic equation and its application to Saint-Venant's principle in plane elastostatics
• Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip
• Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear
• Saint-Venant end effects for plane deformation of sandwich strips
• Conservation properties for plane deformations of isotropic and anisotropic linearly elastic strips
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows
• The Eigenvalues for a Self-Equilibrated, Semi-Infinite, Anisotropic Elastic Strip
• The anisotropic elastic semi-infinite strip
• Recent Developments Concerning Saint-Venant's Principle
• Saint-Venant’s Principle and End Effects in Anisotropic Elasticity

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