Wave Propagation at an Interface of Elastic and Microstretch Thermoelastic Solids with Microtemperatures

Subject Areas : Engineering

R Kumar ¹ , M Kaur ² , S.C Rajvanshi ³

1 - Department of Mathematics, Kurukshetra University
2 - Department of Applied Sciences, Guru Nanak Dev Engineering College, Ludhiana
3 - Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering and Technology

Received: 2013-05-07 Accepted : 2013-07-01 Published : 2013-09-30

Keywords:

References:

[1] Eringen A.C., 1966, Mechanics of micromorphic materials, Proceedings of the 2nd International Congress of Applied Mechanics, Springer, Berlin, 131-138.

[2] Eringen A.C., 1968, Mechanics of Micromorphic Continua, Mechanics of Generalized Continua, IUTAM Symposium, Freudenstadt-Stuttgart, Springer, Berlin, 18-35.

[3] Eringen A.C., 1971, Micropolar Elastic Solids with Stretch, Ari Kitabevi Matbassi 24:1-18.

[4] Eringen A.C., 1990, Theory of thermo-microstretch elastic solids, International Journal of Engineering Science 28: 1291-1301.

[5] Grot R.A., 1969, Thermodynamics of a continuum with microstructure, International Journal of Engineering Science 7: 801–814.

[6] Riha P., 1976, On the microcontinuum model of heat conduction in materials with inner structure, International Journal of Engineering Science 14: 529-535.

[7] Iesan D., Quintanilla R., 2000, On a theory of thermoelasticity with microtemperatures, Journal of Thermal Stresses 23:199–215.

[8] Ciarletta M., Scalia A., 2004, Some results in linear theory of thermomicrostretch elastic solids, Meccanica 39:191-206.

[9] Iesan D., Quintanilla R., 2005, Thermal stresses in microstretch elastic plates, International Journal of Engineering Science 43: 885-907.

[10] Othman M.I.A, Lofty K.H., Farouk R.M., 2010, Generalized thermo-microstretch elastic medium with temperature dependent properties for different theories, Engineering Analysis with Boundary Elements 43 :229-237.

[11] Passarella F., Tibullo V., 2010, Some results in linear theory of thermoelasticity backward in time for microstretch materials, Journal of Thermal Stresses 33:559-576.

[12] Marin M., 2010, A partition of energy in thermoelasticity of microstretch bodies, Nonlinear Analysis-Real World Applications 11(4): 2436-2447.

[13] Marin M., 2010, Lagrange identity method for microstretch thermoelastic materials, Journal of Mathematical Analysis and Applications 363:275-286.

[14] Kumar S., Sharma J.N., Sharma Y.D., 2011, Generalized thermoelastic waves in microstretch plates loaded with fluid of varying temperature, International Journal of Applied Mechanics 3:563-586.

[15] Othman M.I.A., Lofty K.H., 2010, On the plane waves of generalized thermomicrostretch elastic half space under three theories, International Communications in Heat and Mass Transfer 37:192-200.

[16] Othman M.I.A., Lofty K.H., 2011, Effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time, Multidiscipline Modelling in Materials and Structures 7:43-62.

[17] Kumar R., Rupender, 2008, Reflection at free surface of magneto-thermo-microstretch elastic solid, Bulletin of Polish Academy of Sciences 56:263-271.

[18] Kumar R., Rupender, 2012, Propagation of plane waves at imperfect boundary of elastic and elctro-microstretch generalized thermoelastic solids, Applied Mathematics and Mechanics 30:1445-1454.

[19] Shaw S., Mukhopadhayay B., 2012, Electromagnetic effects on rayleigh surface wave propagation in a homogeneous isotropic thermo-microstretch elastic half-space, Journal of Engineering Physics and Thermophysics 85 :229-238.
[20] Iesan D., 2001, On a theory of micromorphic elastic solids with microtemperatures, Journal of Thermal Stresses 24: 737-752.

[21] Iesan D., Quintanilla R., 2009, On thermoelastic bodies with inner structure and microtemperatures, Journal of Mathematical Analysis and Applications 354:12-23.

[22] Casas P.S., Quintanilla R., 2005, Exponential stability in thermoelasticity with microtemperatures, International Journal of Engineering Science 43:33-47.

[23] Scalia A., Svanadze M., 2006, On the representation of solutions of the theory of thermoelasticity with microtemperatures, Journal of Thermal Stresses 29: 849-863.

[24] Iesan D., 2006, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures 43: 3414-3427.

[25] Aouadi M., 2008, Some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures, Journal of Thermal Stresses 31:649-662.
[26] Scalia A., Svanadze M., Tracinà R., 2010, Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures peratures, Journal of Thermal Stresses 33:721-753.

[27] Quintanilla R., 2011, On growth and continous dependence in thermoelasticity with microtemperatures, Journal of Thermal Stresses 34:911-922.

[28] Steeb H., Singh J., Tomar S.K., 2013, Time harmonic waves in thermoelastic material with microtemperatures, Mechanics Research Communications 48:8-18.

[29] Chirita S., Ciarletta M., Apice C.D., 2013, On the theory of thermoelasticity with microtemperatures, Journal of Mathematical Analysis and Applications 397:349-361.

[30] Iesan D., 2007, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures 44:8648-8662.

[31] Bullen K.E., 1963, An Introduction of the Theory of Seismology, Cambridge University Press, Cambridge.

[32] Eringen A.C., 1984, Plane waves in non local micropolar elasticity, International Journal of Engineering Science 22: 1113-1121.

[33] Dhaliwal R.S., Singh A.,1980, Dynamic Coupled Thermoelasticity, Hindustan Publication Corporation, New Delhi, India .