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Stress analysis for a three-dimensional incompressible wedge under body force or surface loading. (English) Zbl 0789.73010
Summary: 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.
MSC:
74B10 Linear elasticity with initial stresses
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