A boundary-integral equation method for bending of orthotropic plates

DOI10.1016/0020-7683(84)90036-2zbMath0532.73079OpenAlexW2085776932MaRDI QIDQ789234

Hans Irschik

Publication date: 1984

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(84)90036-2

zbMATH Keywords

bendingGreen's matrixboundary-integral equation methodchange from Huber's differential equation to biharmonic equation of Kirchhoff's isotropic theorycoincidence of boundariesdefined on part of the actual boundary onlyfictitious density function vectorlinear transformation of plate domainmatrix split into regular and singular partnon- classical boundary value problempolygonal planformquasistatic pressure loadingstate variables within isotropic domainthin orthotropic linear elastic platestransformed plate embedded in basic rectangular domainvectorial boundary integral equation

Mathematics Subject Classification ID

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A boundary element method for eigenvalue problems of polygonal membranes and plates ⋮ Dynamic analysis of polygonal Mindlin plates on two-parameter foundations using classical plate theory and an advanced BEM ⋮ Boundary element analysis of symmetrically laminated plates ⋮ Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory

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