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SM ISO690:2012 ŞEREMET, Victor, CREŢU, Ion. Reprezentarea grafică a funcţiilor green pentru tensiunile termice într-un dreptunghi cu aplicarea softului maple. In: Cadastru și Drept, 30 septembrie 2016, Chișinău. Chişinău Republica Moldova: Universitatea Agrară de Stat din Moldova, 2016, Vol.46, pp. 216-220. ISBN 978-9975-64-284-2. |
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Cadastru și Drept Vol.46, 2016 |
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Conferința "Cadastru și Drept" Chișinău, Moldova, 30 septembrie 2016 | ||||||
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Pag. 216-220 | ||||||
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The main purpose of this paper is to construct graphics of thermal stresses within a rectangle, created by a inner point heat source, using software “Maple 18”. The analytical expressions of these thermal stresses were obtained using the integral harmonic representations in the article “Seremet, V., A method to derive thermo-elastic Green’s functions for bounded domains (on examples of two-dimensional problems for parallelepipeds), Acta Mech (2016) p.1-18, doi: 10.1007 / s00707-016-1680-8”. Thermal stresses derived by said method are described by analytical expressions that contain the sum of the explicit singular functions and ordinary infinite series containing trigonometric and hyperbolic functions. Therefore it is very difficult to study the distribution and behavior of thermal stresses inside and on the sides of the rectangle by using analytical methods. The analysis of the spatial graphics constructed by using software “Maple 18”, showed us that thermal stresses have singularities (tends to infinity) at the point of application of the heat source, confirming behavior of Green functions. They also satisfy the homogeneous boundary conditions on the sides of the rectangle. |
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Cuvinte-cheie Thermal stresses, Green functions, heat source, Software “Maple 18”, Harmonics integral representations method |
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