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Impulsive effect on an elastic solid with generalized thermodiffusion

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Abstract

The theory of generalized thermoelastic diffusion with one relaxation time is employed to study the distribution of temperature, displacement components, stresses, concentration and chemical potential in a semi-infinite medium having an impulsive mechanical load at the origin. Using the joint Laplace and Fourier transforms, the governing equations are transformed into a vector–matrix differential equation which is then solved by the eigenvalue approach. The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace and Fourier transforms. Results of this work are presented graphically and are compared with the results of generalized thermoelasticity and classical elasticity deduced as special cases.

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Authors and Affiliations

  1. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, 125001, Haryana, India

    Sunita Deswal

  2. Department of Mathematics, Govt. College, Nalwa (Hisar), 125037, Haryana, India

    Suman Choudhary

Authors
  1. Sunita Deswal
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  2. Suman Choudhary
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Correspondence to Sunita Deswal.

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Deswal, S., Choudhary, S. Impulsive effect on an elastic solid with generalized thermodiffusion. J Eng Math 63, 79–94 (2009). https://doi.org/10.1007/s10665-008-9249-8

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  • DOI: https://doi.org/10.1007/s10665-008-9249-8

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