Transient responses of bi-layered structure based on generalized thermoelasticity: Interfacial conditions

Xue, Zhangna; Yu, Yajun; Tian, Xiaogeng

doi:10.1016/j.ijmecsci.2015.05.016

Cited by 24 publications

(7 citation statements)

References 44 publications

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“…Analytical results based on Laplace transform indicated that the increase of thermal contact resistance would increase the temperature difference at the interface and further led to increasing deformation of the contact layer. This was consistent with the findings based on Green and Lindsay (LS) model 36 . Xue et al 39 .…”

Section: Introductionsupporting

confidence: 92%

“…The existence of thermal contact resistance would lead to a large temperature difference at the interface and greatly affects the properties of the layered material 33,34 . Most of the studies on thermal contact resistance focus on its influence on the design and performance of composite structures, from superconductors and microelectronic layer packages to thermal insulation buildings 35,36 . Based on the Boussinesq displacement potentials, Hatami‐Marbini and Shodja 37 provided the closed‐form solutions of the thermo‐elastic fields of composite materials, with a special focus on the influence of contact interface.…”

Section: Introductionmentioning

confidence: 99%

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A general interfacial thermal contact model for consolidation of bilayered saturated soils considering thermo‐osmosis effect

Wen

Tian

et al. 2022

Num Anal Meth Geomechanics

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In this paper, a general interfacial thermal contact model is proposed to investigate the heat conduction characteristics at the interface of bilayered saturated soils. The semianalytical solutions of thermal consolidation of the bilayered saturated soils considering thermo-osmosis effect under ramp-type heating are derived by using the Laplace transform. Then, the expressions of the temperature increment, excess pore water pressure, and displacement are obtained in time domain by using the Crump's method. Comparisons are performed to verify the rationality of the obtained solutions, and the influences of contact transfer coefficient, partition coefficient, and the thermo-osmosis coefficient on the thermal consolidation of the bilayered saturated soil are illustrated and discussed. Neglecting the thermal contact resistance would overestimate the thermal consolidation behavior of the bilayered saturated soils. The calculated excess pore water pressure and displacement considering thermo-osmosis effect are much larger than those without thermo-osmosis effect.

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Section: Introductionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

A general interfacial thermal contact model for consolidation of bilayered saturated soils considering thermo‐osmosis effect

Wen

Tian

et al. 2022

Num Anal Meth Geomechanics

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“…In recent years, many researchers have provided beneficial works about the transient responses of single-phase elastic media [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and porous elastic media, [17][18][19][20][21][22][23] since it has always been an important problem in geomechanics, elastodynamics and seismology. 1,2 The above research [17][18][19][20][21][22][23] considered the saturated media to be isotropic, but natural geomaterials exhibit transversely isotropic (TI) property in Young's modulus and permeability because of its original deposition. [24][25][26] Since the mathematical processing is more complex and the accurate solution is hard to be obtained, research on TI saturated media due to transient loads is not abundant.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, many researchers have provided beneficial works about the transient responses of single‐phase elastic media 1–16 and porous elastic media, 17–23 since it has always been an important problem in geomechanics, elastodynamics and seismology 1,2 . The above research 17–23 considered the saturated media to be isotropic, but natural geomaterials exhibit transversely isotropic (TI) property in Young's modulus and permeability because of its original deposition 24–26 .…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional dynamic response of transversely isotropic saturated media subjected to transient loads

Zhao

2022

Num Anal Meth Geomechanics

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This paper investigates three‐dimensional (3D) transient responses of stratified transversely isotropic (TI) saturated media. Firstly, we transform the partial differential equations in Cartesian coordinates into ordinary differential equations (ODEs) for the convenience of solving. Then, we consider the transient load forms and apply the extended precise integration method (EPIM) to study the response of stratified TI saturated media. This paper involves the transverse isotropy of solid constituent, the permeable anisotropy of pore fluid, and various load forms including concentrated loadings and uniform rectangular loadings. The solution in the physical domain can be obtained through the numerical inversion of Laplace‐Fourier transform. Several examples are set up to verify the proposed theory and to investigate the influences of the transverse isotropy of solid constituent, the permeable anisotropy of pore fluid and the stratification of media.

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“…Xue et al. [39, 40] investigated the transient responses of a bi-layered structure based on generalized thermoelastic theory and a multi-layered structure based on generalized thermoelastic diffusion theory. Xiong et al.…”

Section: Introductionmentioning

confidence: 99%

Transient responses of sandwich structure based on the generalized thermoelastic diffusion theory with memory-dependent derivative

2018

Jnl of Sandwich Structures & Materials

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The present work is devoted to investigating the transient responses of a sandwich structure based on the generalized thermoelastic diffusion theory with memory-dependent derivative. Both the left and the right bounding surfaces are subjected to a thermal shock and a chemical potential shock simultaneously. It is assumed that the values of thermal contact resistance and diffusional contact impedance at the interface are zero with ideal adhesion. The coupled governing equations containing time delay factors and kernel functions, which can be chosen freely according to specific problems, are solved by the Laplace transform together with its numerical inversion. The influences of the material characteristic parameters at the interface on the structural responses are emphatically discussed, and the non-dimensional temperature, chemical potential, displacement, stress as well as concentration at different values of time delay factors and kernel functions are obtained and illustrated graphically. The results show that: the changes of the time delay factors, kernel functions, and material characteristic parameters have the varying degrees of influences on the considered variables. Based on the above conclusions, the sandwich structure working under the thermoelastic diffusion coupling condition can be designed reasonably.

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Transient responses of bi-layered structure based on generalized thermoelasticity: Interfacial conditions

Cited by 24 publications

References 44 publications

A general interfacial thermal contact model for consolidation of bilayered saturated soils considering thermo‐osmosis effect

A general interfacial thermal contact model for consolidation of bilayered saturated soils considering thermo‐osmosis effect

Three‐dimensional dynamic response of transversely isotropic saturated media subjected to transient loads

Transient responses of sandwich structure based on the generalized thermoelastic diffusion theory with memory-dependent derivative

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