Ein gemischtes randwertproblem der kreiszylinderschale mit beliebigen ausschnitten

DOI10.1002/MMA.1670040123zbMath0492.73071OpenAlexW1978087012MaRDI QIDQ3954938

J. C. Hein

Publication date: 1982

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670040123

zbMATH Keywords

displacement functionscubic splinesintegral representationslogarithmic kernelGaussian quadrature formulaestress functionscircular cylindrical shellsstress determinationcut-outsBetti- Maxwell principleGalerkin method convergesstrongly elliptical system of pseudo-differential operatorstransformed into equivalent system of Fredholm integral equations of first kind

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Linear elasticity with initial stresses (74B10) Membranes (74K15) Dynamical problems in solid mechanics (74H99) Fredholm integral equations (45B05) Elastic materials (74B99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Cites Work

• An integral equation method for stress concentration problems in cylindrical shells
• Stress Concentration in a Stretched Cylindrical Shell With Two Equal Circular Holes
• [https://portal.mardi4nfdi.de/wiki/Publication:5342124 Gaussian Quadrature Formulae for � 1 0 -ln(x)f(x) dx]
• Concentrated Forces on Shallow Cylindrical Shells
• Singular Solutions to the Shallow Shell Equations
• Cutouts in Shallow Shells
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