Numerical solution of integro-differential and singular integral equations for plate bending problems

DOI10.1007/BF00135175zbMath0345.73047OpenAlexW1989426824MaRDI QIDQ1233362

Erik B. Hansen

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf00135175

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Plates (74K20) Spline approximation (41A15) Elastic materials (74B99)

Related Items (13)

Unnamed Item ⋮ A Galerkin symmetric and direct BIE method for Kirchhoff elastic plates: formulation and implementation ⋮ A Galerkin collocation method for some integral equations of the first kind ⋮ A coupled boundary element/differential equation method formulation for plate-beam interaction analysis ⋮ A new plate finite element using integral representation interpolation ⋮ On the asymptotic convergence of a collocation method for some boundary integral equations of the first kind ⋮ Bending moments at interfaces of thin zoned plates with discrete thickness by the boundary element method ⋮ Cubic approximation for the transverse displacement in BEM for elastic plates analysis ⋮ An integral equation method for stress concentration problems in cylindrical shells ⋮ Corner restrictions and their application to bending plate analyses by the boundary element method ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem ⋮ The BIE analysis of the Berger equation ⋮ Finite deflection analysis of elastic plate by the boundary element method

Cites Work

• An integral equation formulation of plate bending problems
• Spline-Funktionen bei der Lösung von Integralgleichungen. (Spline functions for solving integral equations.)
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