Wave Propagation at the Boundary Surface of Elastic Layer Overlaying a Thermoelastic Without Energy Dissipation Half-space

Subject Areas : Engineering

R Kumar ¹ (Department of Mathematics, Kurukshetra University)
V Chawla ² (Department of Mathematics, Kurukshetra University)

Received: 2010-10-07 Accepted : 2010-12-15 Published : 2010-12-30

Keywords:

References:

[1] Benveniste Y., 1984, The effective mechanical behavior of composite materials with imperfect contact between the constituents, Mechanics of Materials 4: 197-208.

[2] Achenbaeh J.D., Zhu H., 1989, Effect of interfacial zone on mechanical behaviour and failure of reinforced composites, Journal of the Mechanics and Physics of Solids 37: 381-393.

[3] Hashin Z., 1990, Thermoelastic properties of fiber composites with imperfect interface, Mechanics of Materials 8: 333-348.

[4] Hashin Z., 1991, The spherical inclusion with imperfect interface, ASME Journal of Applied Mechanics 58:444-449.

[5] Zhong Z., Meguid S. A., 1996, On the eigenstrain problem of a spherical inclusion with an imperfectly bonded interface, ASME Journal of Applied Mechanics 63: 877-883.

[6] Pan E., 2003, Three-dimensional Green’s function in anisotropic elastic bimaterials with imperfect interfaces, ASME Journal of Applied Mechanics 70: 180-190.

[7] Yu H.Y., 1998, A new dislocation-like model for imperfect interfaces and their effect on Lord transfer composites, Composite Part A: Applied Science and Manufacturing 29(9-10): 1057-1062.

[8] Yu H.Y., Wei Y.N., Chiang F.P., 2002, Lord transfer at imperfect interfaces dislocation-like model, International Journal of Engineering Science 40: 1647-1662.

[9] Benveniste Y., 1999, On the decay of end effects in conduction phenomena: A sandwich strip with imperfect interfaces of low or high conductivity, Journal of Applied Physics 86: 1273-1279.

[10] Joseph D.D., Preziosi L., 1989, Heat waves, Reviews of Modern Physics 61: 41-73.

[11] Dreyer W., Struchtrup H., 1993, Heat pulse experiments revisited, Continuum Mechanics and Thermodynamics 5(1): 3-50.

[12] Caviglia G., Morro A., Straughan B., 1992, Thermoelasticity at cryogenic temperatures, International Journal of Non-linear Mechanics 27: 251-261.

[13] Chandrasekharaiah D.S., 1986, Thermoelasticity with second sound: A review, Applied Mechanics Review 39: 355-376.

[14] Chandrasekharaiah D.S., 1998, Hyperbolic thermoelasticity: A review of recent literature, Applied Mechanics Review 51: 705-729.

[15] Muller I., Ruggeri T., 1998, Rational and extended thermodynamics, Springer-Verlag, New York.

[16] Hetnarski R.B., Ignazack J., 1999, Generalized thermoelasticity, Journal of Thermal Stresses 22: 451-470.

[17] Green A.E., Naghdi P.M., 1995, A unified procedure for construction of theories of deformable media. I. Classical continuum physics, II. Generalized continua, III. Mixtures of interacting continua, Proceedings of Royal Society London A 448: 335-356, 357-377, 379-388.

[18] Green A.E., Naghdi P.M., 1991, A reexamination of the basic posulales of thermomechanics, Proceedings of Royal Society London A 432: 171-194.

[19] Green A.E., Naghdi P.M., 1992, On undamped heat waves in an elastic solid, Journal of Thermal Stresses 15: 253-264.

[20] Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity 31: 189-208.

[21] Bullen K.E., 1963, An introduction of the theory of seismology, Cambridge University Press, Cambridge.

[22] Scott N.H., 1996, Energy and dissipation of inhomogeneous plane waves in thermoelasticity, Wave Motion 23: 393-406.

[23] Ciarletta M., 1999, Atheory of micropolar thermoelasticity without energy dissipation, Journal of Thermal Stresses 22: 581-594.

[24] Kalpakides V.K., Maugin G.A., 2004, Canonical formulation and conservation laws of thermoelasticity without energy dissipation, Reports of Mathematical Physics 23: 371-391.

[25] Othman M. I.A., Song Y., 2007, Reflection of plane waves from an elastic solid half-space under hydrostatic intial stress without energy dissipation, International Journal of Solids and Structures 44: 5651-5664.

[26] Chirit S., Ciarletta M., 2010, Spatial behavior for some non-standard problems in linear thermoelasticity without energy dissipation,Journal of Mathematical Analysis and Applications 367: 58-68.

[27] Jiangong Y., Zhang X.., Xue T., 2010, Generalized thermoelastic waves in a functionally graded plates without energy dissipation, Composites Structures 93: 32-39.

[28] Jiangong Y., Bin W., Cunfu H., 2010, Circumferential thermoelastic waves in orthotropic cylindrical curved plates without energy dissipation, Ultrasonics 50: 416-423.

[29] Youssef H.M., 2011, Theory of two temperature thermoelasticity without energy dissipation, Journal of Thermal Stresses 34: 138-146.

[30] Jiangong Y., Bin W., Cunfu H., 2011, Guided thermoelastic wave propagation in layered plates without energy dissipation, Acta Mechanica Solida Sinica 24: 135-143.

[31] Aki K., Richards P.G., 1980, Quantitative Seismology Theory and Methods, Volume 1, Freeman, New York.

[32] Dhaliwal R.S., Singh A., 1980, Dynamical Coupled Thermoelasticity, Hindustan Publishing Corporation, Delhi, India.