Exponential decay in one‐dimensional Type II/III thermoelasticity with two porosities
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DOI: 10.1002/mma.6438
Abstract: In this paper, we consider the theory of thermoelasticity with a double porosity structure in the context of the Green–Naghdi Types II and III heat conduction models. For the Type II, the problem is given… read more here.
Keywords: dissipation; thermoelasticity; exponential decay; structure ... See more keywords
Analysis of nonlinear systems arise in thermoelasticity using fractional natural decomposition scheme
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DOI: 10.1002/mma.7779
Abstract: The pivotal aim of the present study is to employ fractional natural decomposition method (FNDM) to find the solution for a nonlinear system arising in thermoelasticity. The considered coupled system is generalised many physical phenomena… read more here.
Keywords: thermoelasticity; nonlinear systems; natural decomposition; analysis nonlinear ... See more keywords
Nodally integrated thermomechanical RKPM: Part I—Thermoelasticity
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DOI: 10.1007/s00466-021-02047-9
Abstract: In this two-part paper, a stable and efficient nodally-integrated reproducing kernel particle method (RKPM) is introduced for solving the governing equations of generalized thermomechanical theories. Part I investigates quadrature in the weak form using coupled… read more here.
Keywords: part; thermoelasticity; thermomechanical rkpm; nodally integrated ... See more keywords
Unified GN model of electro-thermoelasticity theories with fractional order of heat transfer
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DOI: 10.1007/s00542-018-3917-z
Abstract: A unified mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction law with fractional order derivative. Some essential theories follow as limit cases. The governing coupled equations… read more here.
Keywords: thermoelasticity theories; fractional order; electro thermoelasticity; model electro ... See more keywords
An analytical solution to the axisymmetric thermoelasticity problem for a cylinder with arbitrarily varying thermomechanical properties
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DOI: 10.1007/s00707-017-2012-3
Abstract: Analytical solutions to the axisymmetric heat-conduction and thermoelasticity problems for a long solid cylinder are constructed for arbitrary variation of the thermomechanical properties within the radial coordinate. By making use of the direct integration method,… read more here.
Keywords: analytical solution; cylinder; axisymmetric thermoelasticity; thermoelasticity ... See more keywords
A domain of influence theorem for a natural stress–heat-flux problem in the Moore–Gibson–Thompson thermoelasticity theory
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DOI: 10.1007/s00707-020-02833-1
Abstract: The present paper is focused on the Moore–Gibson–Thompson (MGT) thermoelasticity theory. The MGT thermoelasticity theory is a generalized form of the Lord–Shulman (LS) thermoelasticity theory as well as the Green-Naghdi thermoelasticity theory with energy dissipation… read more here.
Keywords: thermoelasticity theory; domain influence; thermoelasticity;
Coupled Thermoelasticity Problem for Multilayer Composite Shells of Revolution. II. Applied Problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4102-8
Abstract: We deduce a system of nonclassical nonlinear differential equations of coupled thermoelasticity for multilayer composite anisotropic shells of revolution in a coordinate system connected with the lines of curvature of the reference surface. The constructed… read more here.
Keywords: multilayer composite; coupled thermoelasticity; thermoelasticity; shell ... See more keywords
Bending of FGM plates under thermal load: Classical thermoelasticity analysis by a meshless method
Sign Up to like & getrecommendations! Published in 2018 at "Composites Part B: Engineering"
DOI: 10.1016/j.compositesb.2018.04.004
Abstract: Abstract Thermal stresses, especially at the interface between two different materials, often play an important role in the failure of laminated composite structures. Thus, it is a strong motivation to replace laminated plate structures by… read more here.
Keywords: thermal load; order; fgm plates; meshless ... See more keywords
Modified DPL Green–Naghdi theory for thermoelastic vibration of temperature-dependent nanobeams
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DOI: 10.1016/j.rinp.2019.102845
Abstract: Abstract A unified multi-dual-phase-lag thermoelasticity theory is presented to study the vibration of a temperature-dependent nanobeam subjected to a ramp-type heating. The nonlocal thermoelasticity theory based on Euler-Bernoulli hypothesis is applied. Laplace transform domain is… read more here.
Keywords: temperature; theory; temperature dependent; vibration temperature ... See more keywords
Thermally nonlinear generalized thermoelasticity of a layer
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DOI: 10.1080/01495739.2017.1320776
Abstract: ABSTRACT This article addresses a clarification study on the thermally nonlinear Fourier/ non-Fourier dynamic coupled (generalized) thermoelasticity. Based on the Maxwell-Cattaneo’s heat conduction law and the infinitesimal theory of thermoelasticity, governing equations for the thermally… read more here.
Keywords: nonlinear generalized; time; generalized thermoelasticity; thermoelasticity layer ... See more keywords
On the Green function of the Lord–Shulman thermoelasticity equations
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DOI: 10.1093/gji/ggz453
Abstract: Thermoelasticity extends the classical elastic theory by coupling the fields of particle displacement and temperature. The classical theory of thermoelasticity, based on a parabolic-type heat-conduction equation, is characteristic of an unphysical behaviour of thermoelastic waves… read more here.
Keywords: wave wave; function lord; green function; thermoelasticity ... See more keywords