Deformation Due to Various Sources in a Thermally Conducing Cubic Crystal Material with Reference Temperature Dependent Properties
generalized thermoelasticity, cubic crystal, relaxation time, laplace and fourier transforms
Abstract
A homogeneous, thermally conducting cubic crystal, elastic half-plane subjected to normal, tangential force and thermal source under the effect of dependence of reference temperature on all elastic and thermal parameters is investigated. The interaction due to two types of loading: instantaneous and continuous has been considered. The Laplace and Fourier transforms technique has been used to obtain the components of displacement, stresses and temperature distribution for Lord and Shulman (L-S), Green and Lindsay (G-L), Green and Naghdi(G-N) and Chandrasekharaiah and Tzou (CTU) theories of generalized thermoelasticity. The concentrated and distributed loads have been taken to illustrate the utility of the approach. particular case is also deduced. The numerical inversion technique has been used to invert the integral transforms. The comparison of Linear case, quadratic case and exponential case, respectively, are depicted graphically for thermal source for L-S theory.
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References
H Lord, Y Shulman (1967) A generalized dynamical theory of thermoelasticity. 15, 299-309.
A Green, K Lindsay (1972) Thermoelasticity. 2(1), 1-7.
Ranjit Dhaliwal, Hani Sherief (1980) Generalized thermoelasticity for anisotropic media. 38(1), 1-8.
A Green, P Naghdi (1993) Thermoelasticity without energy dissipation. 31(3), 189-208.
D Tzou (1995) A Unified Field Approach for Heat Conduction from Macro to Micro-Scales. 117, 8-16.
D Chandrasekharaiah (1998) Author's Response to "Comments on the articles 'Hyperbolic thermoelasticity: A review of recent literature' (Chandrasekharaiah DS, 1998, Appl Mech Rev 51(12), 705-729) and 'Thermoelasticity with second sound: A review' (Chandrasekharaiah DS, 1986, Appl Mech Rev 39(3), 355-376)". 56(4), 453-453.
Yuan Lin, Timothy Ovaert (2004) Thermoelastic Problems for the Anisotropic Elastic Half-Plane. 126(3), 459-465.
Rajneesh Kumar, Leena Rani (2007) Deformation due to mechanical and thermal sources in generalised orthorhombic thermoelastic material. 29(5), 429-447.
H Beom (2013) Thermoelastic in-plane fields in a linear anisotropic solid. 69, 49-60.
B Valès, V Munoz, H Welemane, M-L Pastor, B Trajin, M Perrin, A Cantarel, M Karama (2016) Heat source estimation in anisotropic materials. 136, 287-296.
Karel Van Bockstal, Liviu Marin (2017) Recovery of a space-dependent vector source in anisotropic thermoelastic systems. 321, 269-293.
Rani Singh, V (2018) Thermal disturbances in twinned orthotropic thermoelastic material. 23, 897-910.
Jiakuan Zhou, Xueli Han, Fang Wang (2020) Three-dimensional thermal Green's functions of quasi-steady-state motion in anisotropic bimaterials and some related problems. 81, 103940.
Jerzy Nowinski (1959) Thermoelastic problem for an isotropic sphere with temperature dependent properties. 10(6), 565-575.
Jerzy Nowinski, A Betti (1960) A Betti-Rayleigh theorem for elastic bodies exhibiting temperature dependent properties. 9(1), 429-436.
Jerzy Nowinski (1962) Transient Thermoelastic Problem for an Infinite Medium With a Spherical Cavity Exhibiting Temperature-Dependent Properties. 29(2), 399-407.
Naotake Noda (1991) Thermal Stresses in Materials with Temperature-Dependent Properties. 44(9), 383-397.
M Ezzat, Mia Othman, A El-Karamany (2001) The dependence of the modulus of elasticity on the reference temperature in generalized thermoelasticity. 24, 1159-1176.
Mohamed Othman, Rajneesh Kumar (2009) Reflection of magneto-thermoelasticity waves with temperature dependent properties in generalized thermoelasticity. 36(5), 513-520.
Kapil Kalkal, Sunita Deswal (2014) Effects of Phase Lags on Three-Dimensional Wave Propagation with Temperature-Dependent Properties. 35(5), 952-969.
S Matysiak, D Perkowski, Kulchytsky-Zhyhailo R (2017) Temperature and stresses in a thermoelastic half-space with temperature dependent properties.
Jian-Ping Zhang, Shu-Sen Wang, Shu-Guang Gong, Qing-Song Zuo, Hui-Yao Hu (2019) Thermo-mechanical coupling analysis of the orthotropic structures by using element-free Galerkin method. 101, 198-213.
R Dhaliwal, A Singh (1980) Dynamic coupled thermoelasticity Hindustan Pub.
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2020-08-22
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