A tenth-order theory of stretching of transversely isotropic sheets

DOI10.1007/BF00945450zbMath0564.73020OpenAlexW2089685707MaRDI QIDQ1058334

R. A. Clark, Eric Reissner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00945450

zbMATH Keywords

Laplace operatorsapproximatelyequilibrium stress systemsexpressed in terms of a biharmonic functionparabolic variations in thickness directionprimary face-parallel stressessolution of the tenth-order systemsolutions of one second- order and one fourth-order differential equationtenth-order system of two-dimensional differential equations for stress measuresthree-dimensional Poisson's ratio effect correctionstwo-dimensional plane stress theoryvariational theorem for stresses and displacementsweighted averages of displacements components

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for higher-order elliptic equations (35J35)

Cites Work

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• On the Analysis of First and Second-Order Shear Deformation Effects for Isotropic Elastic Plates
• On a Variational Theorem in Elasticity

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