Static and Quasi-Static Deformation of a Uniform Half-Space Due to a Center of Rotation
Journal Title: International Journal of Current Research and Review - Year 2017, Vol 9, Issue 19
Abstract
Objective: The objective is to obtain static and quasi-static deformation of a uniform half-space due to a center of rotation. Methodology and Results: The Galerkin vector approach has been used to calculate deformation field at an arbitrary point of an elastic half-space. Closed form analytical expressions for the displacements and stresses caused by a center of rotation buried in a homogenous, isotropic, perfectly elastic half-space are derived. The quasi-static deformation field for a viscoelastic medium has been obtained by applying the correspondence principle of linear viscoelasticity to the associated elastic solution. Explicit expressions giving the quasi-static deformation of a uniform half-space caused by a center of rotation are obtained when the medium is elastic in dilatation and Kelvin, Maxwell or SLS type viscoelastic in distortion. Conclusion: The explicit expressions for the displacements and stresses in an elastic and viscoelastic medium due to a center of rotation source have been obtained. Numerical results are shown graphically for displacements and stresses.
Authors and Affiliations
Nishu Verma
Keywords
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- EP ID EP607844
- DOI 10.7324/IJCRR.2017.9191
- Views 129
- Downloads 0
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