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Vol.23, No.1, 2023, pp. 39–47 |
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EFFECT OF HYDROSTATIC INITIAL STRESS IN A FUNCTIONALLY GRADED HYGROTHERMOELASTIC HALF SPACE Praveen Ailawalia1*, Anchal Sharma2 1) Department of Mathematics, Univ. Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, INDIA *email: praveen_2117@rediffmail.com 2) Department of Mathematics, MM Engineering College, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, Haryana, INDIA
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Abstract The current investigation deals with the study of surface wave propagation in hygrothermoelastic medium under hydrostatic initial stress. The wave equations in terms of displacement, temperature and moisture concentration are solved analytically. The non-homogeneous mechanical and thermal properties of functionally graded material are supposed to be in x direction. The components of displacement, mechanical stress, moisture concentration and temperature distribution in the medium are evaluated using normal mode analysis technique. The deformation which is caused due to mechanical force along the free surface of hygrothermoelastic solid with hydrostatic initial stress in medium is also discussed. The analytical results obtained have also been depicted graphically to show the effect of non-homogeneous parameters and hydrostatic initial stress parameters. Keywords: hydrostatic initial stress, hygrothermoelastic medium, functionally graded material, normal mode, moisture concentration |
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