Propagation of thermoelastic waves at liquid-solid interface in the presence of circular cracks

• Autorzy: Singh B.
• Języki publikacji: EN

Abstrakty

EN

Liquid-solid interface is considered for studying the reflection-refraction phenomenon where a liquid medium is assumed thermally conducting and a solid medium is assumed thermally conducting with circular cracks. The boundary conditions are satisfied to obtain reflection and refraction coefficients. A numerical example is considered to show the effects of circular cracks on the reflection-refraction process.

Słowa kluczowe

EN

thermoelasticity; relaxation times; reflection; amplitude ratios; saturated cracks

PL

tworzywa termoplastyczne; reologia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 3
• Strony: 799--811
• Opis fizyczny: Bibliogr. 30 poz., wykr.

Twórcy

autor

Singh B.

• Department of Mathematics, Govemment College Sector 11, Chandigarh 160011, INDIA,

Bibliografia

• Abd-alla A.N. and Al-dawy A.A.S. (2000): The reflection phenomena of SV waves in a generalized thermoelastic medium. - Int. J. Math. Math. Sci., vol.23, pp.529-546.
• Angel Y.C. and Koba Y.K. (1998): Complex-valued wavenumber, reflection, and transmission in an elastic solid containing a cracked slab region. - Int. J. Solids Structures, vol.35, pp.573-592.
• Budiansky B. and O'Connell R.J. (1976): Elastic moduli of a cracked solid. - Int. J. Solid. Struct., vol.12, pp.81-97.
• Capuani D. and Willis J.R. (1997): Wave propagation in elastic media with cracks. Part I: Transient nonlinear response of a single crack. - Eur. J. Mech. A/Solids, vol.16, pp.377-408.
• Capuani D. and Willis J.R. (1999): Wave propagation in elastic media with cracks. Part II: Transient nonlinear response of a cracked matrix. - Eur. J. Mech. A/Solids, vol.18, pp.159-175.
• 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.
• Eriksson A.S., Boström A. and Datta S.K. (1995): Ultrasonic wave propagation through a cracked solid. - Wave Motion, vol.22, pp.297-310.
• 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. (1975): 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. (1975): 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.
• Hudson J.A. (1981): Wave speeds and attenuation of elastic waves in material containing cracks. - Geophys J. R. Astr. Soc., vol.64, pp.133-150.
• Hudson J.A. (1990): Overall properties of isotropic material with arbitrary distributions of circular cracks. - Geophys J. Int., vol.102, pp.465-469.
• Hudson J.A., Liu E. and Crampin S. (1996): The mechanical. properties of materials with interconnected cracks and pores. - Geophys J. Int., vol.124, pp.105-112.
• 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.
• 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 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.
• Sharma J.N., Kumar V. and Chand D. (2003): Reflection of generalized thermoelastic waves from the boundary of a half-space. - J. Thermal Stresses, vol.26, pp.925-942.
• Sinha S.B. and Elsibai K.A. (1966): Reflection of thermoelastic waves at a solid half-space with two thermal relaxation times. - J. Thermal Stresses, vol.19, pp.763-777.
• 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. - J. Thermal Stresses, vol.20, pp.129-146.
• 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.
• 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. (2005): Reflection of P and SV waves from free surface of an elastic solid with generalized thermodiffusion. - J. Earth Syst. Sci., vol.114, pp.1-10.
• Singh B., Singh J. and Kumar A. (2003): Reflection of thermoelastic waves from a free surface of a cracked solid half-space. - Bull. Allah. Math. Soc., vol.18, pp.83-94.
• Zhang Ch. and Gross D. (1993): Wave attenuation and dispersion in randomly cracked solids. - I. Slit cracks. - Int. J. Eng. Sci., vol.31, pp.841-858.
• Zhang Ch. and Gross D. (1998): On Wave Propagation in Elastic Solids with Cracks. - Southampton: Computational Mechanics Publications.