Similarity Solution of the Flamant Problem by Means of a One-Parameter Group Transformation |
| |
| Authors: | David J. Unger |
| |
| Affiliation: | (1) Department of Mechanical and Civil Engineering, University of Evansville, Evansville, IN 47722, USA |
| |
| Abstract: | The two-dimensional point load problem on a linear elastic half plane is solved using a one-parameter group transformation of the biharmonic equation. This solution technique allows the incorporation of the singular load directly through use of the Dirac delta function. The resulting fourth-order ordinary differential equation, while formidable in appearance, is exact and is readily solved through simple integration. |
| |
| Keywords: | point load half plane linear elasticity similarity solution biharmonic equation Flamant Problem |
| 本文献已被 SpringerLink 等数据库收录！ |
