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Original Articles

Solving Direct and Inverse Thermoelasticity Problems by Means of Trefftz Base Functions for Finite Element Method

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Pages 378-393 | Received 12 Jul 2010, Accepted 23 Nov 2010, Published online: 04 Mar 2011

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Anatoliy Yasinskyy & Lyudmyla Tokova. (2017) Inverse problem on the identification of temperature and thermal stresses in an FGM hollow cylinder by the surface displacements. Journal of Thermal Stresses 40:12, pages 1471-1483.
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Articles from other publishers (11)

R. M. Kushnir, A. V. Yasinskyy & Yu. V. Tokovyy. (2023) Reconstruction of the Thermal Load of a Functionally Graded Hollow Sphere by Surface Displacements. Journal of Mathematical Sciences 270:1, pages 176-190.
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Artur Maciag & Anna Pawinska. (2022) The solution of nonlinear direct and inverse problems for beam by means of the Trefftz functions. European Journal of Mechanics - A/Solids 92, pages 104476.
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Artur Maciąg & Krzysztof Grysa. (2021) Trefftz Method of Solving a 1D Coupled Thermoelasticity Problem for One- and Two-Layered Media. Energies 14:12, pages 3637.
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Roman Kushnir, Anatoliy Yasinskyy, Yuriy Tokovyy & Eteri Hart. (2021) Inverse Thermoelastic Analysis of a Cylindrical Tribo-Couple. Materials 14:10, pages 2657.
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R. M. Kushnir, A. V. Yasinskyy & Yu. V. Tokovyy. (2020) Reconstruction of thermal loading of a functionally-graded hollow sphere by the surface displacements. Matematychni Metody Ta Fizyko-Mekhanichni Polya 63:1.
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Krzysztof Grysa, Artur Maciag, Agnieszka Cebo-Rudnicka & Magdalena Walaszczyk. (2018) Identification of the heat transfer coefficient during cooling process by means of Trefftz method. Engineering Analysis with Boundary Elements 95, pages 33-39.
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Krzysztof Grysa & Artur Maciag. (2016) Temperature dependent thermal conductivity determination and source identification for nonlinear heat conduction by means of the Trefftz and homotopy perturbation methods. International Journal of Heat and Mass Transfer 100, pages 627-633.
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Artur Maciag & Anna Pawinska. (2014) Solution of the direct and inverse problems for beam. Computational and Applied Mathematics 35:1, pages 187-201.
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Slawomir Blasiak & Anna Pawinska. (2015) Direct and inverse heat transfer in non-contacting face seals. International Journal of Heat and Mass Transfer 90, pages 710-718.
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Krzysztof Grysa & Artur Maciąg. 2014. Encyclopedia of Thermal Stresses. Encyclopedia of Thermal Stresses 6244 6250 .
Krzysztof Grysa, Artur Maciag & Anna Pawinska. (2012) Solving nonlinear direct and inverse problems of stationary heat transfer by using Trefftz functions. International Journal of Heat and Mass Transfer 55:23-24, pages 7336-7340.
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