Deformation Due to Inclined Loads in Thermoporoelastic Half Space

Subject Areas : Engineering

R Kumar ¹ ( Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India )
S Kumar ² ( Department of Mathematics, Govt. Degree College Chowari (Chamba), Himachal Pradesh, India )
M.G Gorla ³ ( Department of Mathematics, Himachal Pradesh University, Shimla-171005, India )

Received: 2016-06-28 Accepted : 2016-08-25 Published : 2016-09-20

Keywords: Inclined load, Time and frequency domain, Laplace and fourier transform,

Abstract :

The present investigation is concerned with the deformation of thermoporoelastic half space with incompressible fluid as a result of inclined load of arbitrary orientation. The inclined load is assumed to be linear combination of normal load and tangential load. The Laplace and Fourier transform technique are used to solve the problem. The concentrated force, uniformly distributed force and a moving force in time and frequency domain are taken to illustrate the utility of the approach. The transformed components of displacement, stress, pore pressure and temperature change are obtained and inverted by using a numerical inversion techniques. The variations of resulting quantities are depicted graphically. A particular case has also been deduced.

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