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Articles

Dynamic analysis to the fractional order thermoelastic diffusion problem of an infinite body with a spherical cavity and variable material properties

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Pages 38-54 | Received 24 May 2019, Accepted 30 Sep 2019, Published online: 17 Oct 2019

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Geetanjali Geetanjali & Pawan Kumar Sharma. (2024) Transient responses of two temperature, fractional thermo-diffusive-elastic half space with temperature dependent properties. International Journal for Computational Methods in Engineering Science and Mechanics 25:2, pages 80-96.
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P. K. Sharma, Ankit Bajpai & Rajneesh Kumar. (2021) Analysis of two temperature thermoelastic diffusion plate with variable thermal conductivity and diffusivity. Waves in Random and Complex Media 0:0, pages 1-19.
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Ankit Bajpai & P. K. Sharma. (2021) Variable thermal conductivity and diffusivity impact on forced vibrations of thermodiffusive elastic plate. Journal of Thermal Stresses 44:9, pages 1169-1190.
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Bingdong Gu, Ailing He, Tianhu He & Yongbin Ma. (2024) Size-dependent thermal-electro-mechanical behaviors of a piezo-flexoelectric micro-beam based on nonlocal strain gradient theory and dual-phase-lagging heat model. Acta Mechanica 235:4, pages 2289-2303.
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Geetanjali Geetanjali & P. K. Sharma. (2023) Vibrational analysis of transversely isotropic hollow cylinder based on fractional generalized thermoelastic diffusion models with nonlocal effects. Acta Mechanica 235:1, pages 147-166.
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Wei Peng & Tianhu He. (2023) Transient thermo-mechanical analysis of a spherical microshell based on the three-phase-lag thermoelasticity incorporating small-scale and memory-dependent effects. Mathematics and Mechanics of Solids 28:9, pages 1999-2015.
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Hamdy M. Youssef & Abdulrahman A. Alghamdi. (2023) Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory. Journal of Engineering and Thermal Sciences 3:1, pages 11-24.
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Lingchen Tian, Wei Peng & Tianhu He. (2022) A modified fractional-order thermo-viscoelastic model and its application in thermal-induced nonlocal response analysis of a microscale plate. Archive of Applied Mechanics 93:2, pages 687-705.
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Sourov Roy & Abhijit Lahiri. (2023) Fractional Order Thermoelastic Model with Voids in Three-Phase-Lag Thermoelasticity. Fractional Order Thermoelastic Model with Voids in Three-Phase-Lag Thermoelasticity.
G Gilhotra & P K Sharma. (2022) Visco-thermodiffusive elastic interactions in plate within the framework of two-temperature fractional thermoelastic models. Indian Journal of Physics 96:13, pages 3867-3879.
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Lingchen Tian, Wei Peng & Tianhu He. (2022) Dual‐phase‐lag thermoelastic diffusion analysis of a size‐dependent microplate based on modified fractional‐order heat conduction model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 102:11.
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Peng Liu & Tianhu He. (2022) Dynamic analysis to the fractional order thermoelastic problem of porous structure. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 102:9.
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Wei Peng, Like Chen & Tianhu He. (2022) A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source. Applied Mathematics and Mechanics 43:4, pages 507-522.
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Ahmed E. Abouelregal. (2021) Thermo-viscoelastic properties in a non-simple three-dimensional material based on fractional derivative Kelvin–Voigt model. Indian Journal of Physics 96:2, pages 399-410.
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Min-jie Wen, Kui-hua Wang, Wen-bing Wu, Yun-peng Zhang & Hou-ren Xiong. (2021) Dynamic response of bilayered saturated porous media based on fractional thermoelastic theory基于分数阶热弹性理论的双层饱和多孔介质动力响应. Journal of Zhejiang University-SCIENCE A 22:12, pages 992-1004.
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Wei Peng, Yongbin Ma & Tianhu He. (2021) Transient thermoelastic response of a size‐dependent nanobeam under the fractional order thermoelasticity. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:10.
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Ankit Bajpai, P. K. Sharma & Rajneesh Kumar. (2021) Modeling of thermoelastic diffusion plate under two temperature, fractional‐order, and temperature‐dependent material properties. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:10.
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Ankit Bajpai, P. K. Sharma & Rajneesh Kumar. (2021) Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity. Acta Mechanica 232:9, pages 3343-3361.
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Dinesh Kumar Sharma, Mitali Bachher & Nantu Sarkar. (2020) Effect of phase-lags on the transient waves in an axisymmetric functionally graded viscothermoelastic spherical cavity in radial direction. International Journal of Dynamics and Control 9:2, pages 424-437.
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Hamdy M. Youssef, Alaa A. El-Bary & Eman A. N. Al-Lehaibi. (2021) The Fractional Strain Influence on a Solid Sphere under Hyperbolic Two-Temperature Generalized Thermoelasticity Theory by Using Diagonalization Method. Mathematical Problems in Engineering 2021, pages 1-12.
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