On the Saint-Venant principle in the case of infinite energy

DOI10.1007/BF00041770zbMath0768.73011OpenAlexW2084074563MaRDI QIDQ1209229

Yevgeni Shenker, Joseph J. Roseman

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1007/bf00041770

zbMATH Keywords

cylindrical domaininfinite energydistribution of the elastic energyquadratic strain energy density function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Saint-Venant's principle (74G50)

Cites Work

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• On Saint-Venant's principle in finite anti-plane shear: An energy approach
• Decay estimates for second-order quasilinear partial differential equations
• On the spatial decay of the energy for some quasilinear boundary value problems in semi-infinite cylinders
• Decay estimates for a class of second-order quasilinear equations in three dimensions
• An integral bound on the strain energy for the traction problem in nonlinear elasticity with sufficiently small strains
• On spatial energy decay for quasilinear boundary value problems in cone- like and exterior domains
• Saint-Venant's principle
• Recent Developments Concerning Saint-Venant's Principle
• Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions

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