Some convexity considerations for a two-dimensional traction problem

DOI10.1007/BF00945763zbMath0644.73025OpenAlexW1966367959MaRDI QIDQ1102777

Robin J. Knops, James N. Flavin

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945763

zbMATH Keywords

conservation lawscross-sectional measures of stressequilibrium state of plane stressexplicit decay estimategeneralized convexity propertyhomogeneous, isotropic, elastic materialrectangular stripself-equilibrated loadsemi- infinite strip

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Convexity of real functions of several variables, generalizations (26B25) Differential inequalities involving functions of a single real variable (34A40) Elastic materials (74B99)

Related Items (8)

Conservation properties for plane deformations of isotropic and anisotropic linearly elastic strips ⋮ Some Phragmén-Lindelöf type results for the biharmonic equation ⋮ Structural stability for a coupled system of wave plate type ⋮ Spatial behavior of a coupled system of wave-plate type ⋮ Decay and Other Estimates for an Annular Elastic Cylinder in an Axisymmetric State of Stress ⋮ On dual conservation laws in planar elasticity ⋮ Conservation properties for plane deformations of anisotropic linearly elastic curved strips ⋮ On Saint-Venant's principle for a linear poroelastic material in plane strain

Cites Work

• Unnamed Item
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Conservation laws in elasticity. I: General results
• Recent Developments Concerning Saint-Venant's Principle

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