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Fundamental Solutions in the Theory of Micromorphic Thermoelastic Diffusion Materials with Microtemperatures and Microconcentrations

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Języki publikacji
EN
Abstrakty
EN
The main purpose of this paper is to construct the fundamental solutions of a system of equations of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations in case of steady oscillations in terms of elementary functions. In a particular case, the fundamental solutions of the system of equations of equilibrium theory of isotropic micromorphic thermoelastic diffusion materials with microtemperatures and microconcentrations are also established.
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autor
  • Markanda National College Department of Mathematics Shahabad Markanda, 136135, India
Bibliografia
  • [1] W. Nowacki, Dynamical problems of thermodiffusion in solids – I, Bull. Pol. Acad. Sci. Tech. Sci. 22, 55–64 (1974).
  • [2] W. Nowacki, Dynamical problems of thermodiffusion in solids – II, Bull. Pol. Acad. Sci. Tech. Sci. 22, 205–211 (1974).
  • [3] W. Nowacki, Dynamical problems of thermodiffusion in solids – III, Bull. Pol. Acad. Sci. Tech. Sci. 22, 257–266 (1974).
  • [4] W. Nowacki, Dynamical problems of thermodiffusion in solids, Eng. Fract. Mech. 8, 261–266 (1976).
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  • [7] T. Kansal, R. Kumar, Variational Principle, Uniqueness and Reciprocity theorems in the theory of generalized thermoelastic diffusion material, QScience Connect 2013, 1–18 (2013).
  • [8] R.A. Grot, Thermodynamics of a continuum with microstructure, Int. J. Eng. Sci. 7, 801–814 (1969).
  • [9] D. Iesan, R. Quintanilla, On a theory of thermoelasticity with microtemperatures, J. Therm. Stresses 23, 199–215 (2000).
  • [10] D. Iesan, On a theory of micromorphic elastic solids with microtemperatures, J. Therm. Stresses 24, 737–752 (2001).
  • [11] D. Iesan, Thermoelasticity of bodies with microstructure and microtemperatures, Int. J. Solids Struct. 44, 8648–8662 (2007).
  • [12] M. Svanadze, Fundamental solutions of the equations of the theory of thermoelasticity with microtemperatures, J. Therm. Stresses 27, 151–170 (2004).
  • [13] M. Svanadze, Fundamental solution in the theory of micromorphic elastic solids with microtemperatures, J. Therm. Stresses 27, 345–366 (2004).
  • [14] M. Aouadi, M. Ciarletta, V. Tibullo, A thermoelastic diffusion theory with microtemperatures and microconcentrations, J. Therm. Stresses 40, 486–501 (2017).
  • [15] A. Chirila, M. Marin, Diffusion in microstretch thermoelasticity with microtemperatures and microconcentrations, [In:] Models and Theories in Social Systems, 149–164 (2019).
  • [16] A.C. Eringen, Theory of thermo-microstretch elastic solids, Int. J. Eng. Sci. 28, 1291–1301 (1990).
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b77bbf15-535d-483c-87e4-5da18abf7987
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