Recent Developments in Anisotropic Heterogeneous Shell Theory

Grigorenko, А. Ya.; Müller, Wolfgang; Grigorenko, Yaroslav M.; Vlaikov, Georgii G.

doi:10.1007/978-981-10-1596-0

Cited by 9 publications

(1 citation statement)

References 2 publications

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“…The nonhomogeneous material described above is closest to the Functionally Graded Materials (FGMs) now is popular in academic circles. As a rule, the properties of such materials are set as a continuous function from one phase to another, implying that the sizes of the zones are comparable [7][8][9]. Many studies have been carried out within the framework proposed by Biot [10], the classical conventional coupled theory of thermal elasticity.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of a Cylinder Having a Varied Coefficient of Thermal Expansion

Shypul

Myntiuk

2020

Period. Polytech. Mech. Eng.

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This paper is concerned with the mathematical modeling of transient thermal elastic problem involving a layered cylinder with a varied coefficient of thermal expansion and powered by a heat flux from an external surfaces. All material's properties are the same for each cylinder's layers, besides the coefﬁcient of linear thermal expansion which is varied and corresponds to hardened and unhardened layers. An obtained solution is a transient state of a heat transfer for the one-dimensional temperature change under the action of heat flux in continuous time. Cumbersome analytical solutions are converted into simple approximation. They are used to solve the inverse problems of the thermal stressed state–determining the time of action of the heat flux to achieve the specified maximum temperature or stress. Some numerical results for the stress distributions are shown in ﬁgures.

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