The displacements and stresses developed in a three-dimensional wedge region loaded by point forces are analysed using a coupled Fourier and Kontorovich-Lebedev double-integral transform. The solution procedure consists of writing the boundary conditions on the wedge faces in cylindrical coordinates directly in terms of the double-integral transform of the Papkovich-Neuber displacement potentials which allows their reduction to algebraic equations. The Green's functions for an interior point force or point loading at the tip of the wedge are derived for an incompressible material. The analysis shows that the general point-force solutions for an incompressible wedge can be expressed as inverse double-integral transforms while for some special cases the solution is reducible to a single integral.
|Number of pages||18|
|Journal||Quarterly Journal of Mechanics and Applied Mathematics|
|State||Published - Feb 1994|
Bibliographical noteFunding Information:
Acknowledgments The authors are grateful to the Association of American Railroads for their support of this research. The first author is also grateful for partial support by the National Science Foundation under grant MSS-9210531.
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics