Plane wave propagation in a generalized thermoelastic solid in the presence of cracks

• Autorzy: Singh B.
• Języki publikacji: EN

Abstrakty

EN

Reflection of pIane waves from a free surface of a generalized thermoelastic solid half-space in the presence of cracks is studied. Analytical expressions for reflection coefficients are derived for incident P and SV waves. These coefficients are computed numerically for different regimes of crack connections and shown graphically with the angle of incidence of striking wave.

Słowa kluczowe

EN

effective moduli; crack density; saturation; reflection; reflection coefficients

PL

tworzywa termoplastyczne; wytrzymałość materiałów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 1
• Strony: 239--250
• Opis fizyczny: Bibliogr. 27 poz., wykr.

Twórcy

autor

Singh B.

• Department of Mathematics Govemment College, Sector 11 Chandigarh 160 011, INDIA,

Bibliografia

• Abd-Alla A.N. (2000): Relaxation effects on reflection of generalized magnetothermoelastic Waves. - Mechanics Research Communications, vol.27, pp.591-600.
• Abd-Alla A.N., Yahia A.A. and Abo-Dahab S.M. (2003): On reflection of the generalized magneto-thermo-viscoelastic plane waves. - Chaos, Solitons and Fractals, vol.16, pp.211-231.
• Budiansky B. and O' Connell R.J. (1976): Elastic moduli of a cracked solid. - Int. J. Solid. Struct., vol.12, pp.81-97.
• Chadwick P. and Sneddon I.N. (1958): Plane waves in an elastic solid conducting heat. - J. Mech. Phys. Solids, vol.6, pp.223-230.
• Deresiewicz H. (1960): Effect of boundaries on waves in a thermoelastic solid: Reflexion of plane waves from plane boundary. - J. Mech. Phys. Solids, vol.8, pp.164-172.
• Ewing M.W., Jardetzky W.S. and Press F. (1957): Elastic Waves in Layered Media. - New York: McGraw-Hill.
• Garvin H.D. and Knopoff L. (1973): The compressional modulus of a material permeated by a random distribution of circular cracks. - Quart. Appl. Math., vol.30, pp.453-464.
• Garvin H.D. and Knopoff L. (1975a): The shear modulus of a material permeated by a random distribution of free circular cracks. - Quart. Appl. Math., vol.33, pp.296-300.
• Garvin H.D. and Knopoff L. (1975b): Elastic moduli of a medium with liquid-filled cracks. - Quart. Appl. Math., vol.33, pp.301-303.
• Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
• Lockett F.J. (1958): Effect of the thermal properties of a solid on the velocity of Rayleigh waves. - J. Mech. Phys. Solids, vol.7, pp.71-75.
• Lord H. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
• Nayfeh A. and Nasser S.N. (1971): Thermoelastic waves in solids with thermal relaxation. - Acta Mechanica, vol.12, pp.53-69.
• O'Connell R.J. and Budiansky B. (1974): Seismic velocities in dry and saturated cracked solids. - J. Geophys. Res., vol.79, pp.5412-5426.
• Othman M.I.A. (2004): Effect of rotation on plane waves in generalized thermo- elasticity with two relaxation times. - International Journal of Solids and Structures, vol.41, pp.2939-2956.
• Othman M.I.A. (2005): Effect of rotation and relaxation time on a thermal shock problem for a half-space in generalized thermoviscoelasticity. - Acta Mechanica, vol.174, pp.129-143.
• Othman M.I.A. and Song Y.Q. (2006): The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation. - Acta Mechnica, vol.184, pp.189-204.
• Qin Q.H., Mai Y.W. and Yu S.W. (1998): Effective moduli for thermopeizoelectric materials with microcracks. - International Journal of Fracture, vol.91, pp.359-371.
• Sharma J.N., Kumar V. and Chand D. (2003): Reflection of generalized thermoelastic waves from the boundary of half-space. - Journal of Thermal Stresses, vol.26, pp.925-942.
• Sharma M.D. (1999): Reflection and refraction at an interface between cracked elastic solid and ordinary elastic solid. - Indian, J. Pure. Appl. Math., vol.30, pp.465-476.
• Singh B. (2000): Reflection of plane sound wave from a micropolar generalized thermoelastic solid half-space. - J. Sound Vibration, vol.235, pp.685-696.
• Singh B. (2002): Reflection of thermo-viscoelastic waves from free surface in the presence of magnetic field. - Proceedings of National Academy of Sciences, vol.72A, pp.109-120.
• Singh B., Kumar A. and Singh J. (2006): Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress. - Applied Mathematics and Computation, vol.177, pp.170-177.
• Sinha A.N. and Sinha S.B. (1974): Reflection of thermoelastic waves at a solid half-space with thermal relaxation. - J. Phys. Earth, vol.22, pp.237-244.
• Sinha S.B. and Elsibai K.A. (1997): Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two thermal relaxation times. - Journal of Thermal Stresses, vol.20, pp.129-146.
• Sinha S.B. and Elsibai K.A. (1996): Reflection of thermoelastic waves at a solid half-space with two thermal relaxation times. - Journal of Thermal Stresses, vol.19, pp.763-777.
• Song Y.Q., Zhang Y.C., Xu H.Y. and Lu B.H. (2004): Reflection of magneto-thermo-viscoelastic wave under generalized thermoviscoelasticity. - International Journal of Thermophysics, vol.25, pp.909-929.