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Elastodynamic response of Mechanical and Thermal sources in Generalized Thermoelastic Half-space with Voids

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The dynamic response of a homogeneous, isotropic, generalized thermoelastic half-space with voids subjected to normal, tangential force and thermal source is investigated. The displacements, stresses, temperature distribution and change in volume fraction field so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for magnesium crystal-like material are illustrated to depict voids effect in the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory for an insulated boundary and temperature gradient boundary.
Rocznik
Strony
29--45
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Mathematics Department, Kurukshetra University, Kurukshetra 136119 Haryana, India
autor
  • Mathematics Department, Kurukshetra University, Kurukshetra 136119 Haryana, India
Bibliografia
  • [1] Nunziato, JW and Cowin, SC: A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal., (1979), 72, pp.175-201.
  • [2] Cowin, SC and Nunziato, JW: Linear elastic materials with voids, J.Elasticity, (1983), 13, pp.25-147.
  • [3] Puri, P and Cowin, SC: Plane waves in linear elastic materials with voids, J.Elasticity, (1985), 15, pp.167-183.
  • [4] Dhaliwal, RS and Wang, J: Domain of influence theorem in the theory of elastic materials with voids, Int. J. Engng. Sci., (1994), 32, pp. 1823-1828.
  • [5] Scarpetta, E: Well posedness theorems for linear elastic materials with voids, Int. J. Engng. Sci., (1995), 33, (2), pp.151-161.
  • [6] Birsan, M: Existence and uniqueness of weak solution in the linear theory of elastic shells with voids, Libertas Math., (2000), 20, pp. 95-105.
  • [7] Ciarletta, M: G. Iovane and M.A.Sumbatyan, On stress analysis for cracks in elastic materials with voids, Int. J. Engng. Sci., (2003), 41, pp. 2447-2461.
  • [8] Rusu, G: On existence and uniqueness in thermoelasticity of materials with voids, Bull. Polish Acad. Sci. Tech. Sci., )1987), 35, (7-8), pp. 339-346.
  • [9] Saccomandi, G: Some remarks about the thermoelastic theory of materials with voids, Rend. Mat. Appl., (1992), (7), 12, (1), pp. 45-58.
  • [10] Ciarletta, M and Scalia, A: On the nonlinear theory of non simple thermoelastic materials with voids, Z. Angew. Math. Mech., 73, (2), pp. 67-75, 1993.
  • [11] Ciarletta, M and Scarpetta, E: Some results on thermoelasticity for dielectric materials with voids, Z. Angew. Math. Mech., (1995), 75, (9), pp.707-714.
  • [12] Dhaliwal, RS and Wang, J: A heat-flux dependent theory of thermoelasticity with voids, Acta Mech., (1995), 110, (1-4), pp.33-39.
  • [13] Marin, M: An uniqueness result for body with voids in linear thermoelasticity, Rend. Mat. Appl., (1997a), 17, (1), pp.103-113.
  • [14] Marin, M: On the domain of influence in thermoelasticity of bodies with voids, Arch. Math. (Brno), (1997b), 33, (4), pp.301-308.
  • [15] Marin, M: Contributions on uniqueness in thermoelastodynamics on bodies with voids, Cienc. Mat. (Havana), (1998), 16, (2), pp.101-109.
  • [16] Marin, M and Salca, H: A relation of Knopoff-de Hoop type in thermoelasticity of dipolar bodies with voids, Theoret. Appl. Mech., (1998), 24, pp.99-110.
  • [17] Chirita, S and Scalia, A: On the spatial and temporal behavior in linear thermoelasticity of materials with voids, J.Thermal Stresses, (2001), 24, (5), pp.433- 455.
  • [18] Pompei, A and Scalia, A: On the asymptotic spatial behavior in linear thermoelasticity of materials with voids, J.Thermal Stresses, (2002), 25, (2), pp.183-193.
  • [19] Lord, HW and Shulman, Y: A generalized dynamical theory of thermoelasticity, J. Mech. Phys.Solids, (1967), 15, pp.299-309.
  • [20] Green, AE and Lindsay, KA: Thermoelasticity, J. Elasticity, (1972), 2, pp.1-7.
  • [21] Iesan, D: A theory of thermoelastic materials with voids, Acta Mechanica, (1986), 60, pp.67-89.
  • [22] Honig, D and Hirdes, U: A method for the numerical inversion of Laplace transform, Journal of Computational and Applied Mathematics, (1984), 10, pp.113-132.
  • [23] Press, WH, Teukolshy, SA, Vellerling, WT and Flannery, BP: Numerical Recipes, (1986), Cambridge University Press, Cambridge.
  • [24] Dhaliwal, RS and Singh, A: Dynamic coupled Thermoelasticity, (1980), Hindustan Publ. Corp., New Delhi, India, p.726.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0015
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