Integral equations for the mixed boundary value problem in plane elastostatics

DOI10.1016/0307-904X(80)90215-2zbMath0428.73008OpenAlexW2085043119MaRDI QIDQ1137415

Ulrich Heise

Publication date: 1980

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(80)90215-2

zbMATH Keywords

plane elastostaticsgeometrical and statical boundary valuesuniform structure of kernels

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Systems of nonsingular linear integral equations (45F05) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05)

Related Items

Removal of the zero eigenvalues of integral operators in elastostatic boundary value problems, Comparison of round-off errors in integral equation formulations of elastostatical boundary value problems, Solution of integral equations for plane elastostatical problems with discontinuously prescribed boundary values, Combination of the boundary integral equation method and the extrapolation method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral equation methods for analysis of piece-wise non-homogeneous three-dimensional elastic solids of arbitrary shape
• Application of the singularity method for the formulation of plane elastostatical boundary value problems as integral equations
• The spectra of some integral operators for plane elastostatical boundary value problems
• Numerical solutions in three dimensional elastostatics
• Nachweis der Eigenwerte O und -1 in den Spektren von Integraloperatoren der ebenen Elastizitätstheorie
• Lösung des gemischten Randwertproblems der ebenen Elastizitätstheorie mit Hilfe singulärer Integralgleichungen
• An integral equation approach to boundary value problems of classical elastostatics