Analytical study of transient thermo-mechanical responses of dual-layer skin tissue with variable thermal material properties

Li, Xiaoya; Li, Chenlin; Xue, Zhangna; Tian, Xiaogeng

doi:10.1016/j.ijthermalsci.2017.11.002

Cited by 64 publications

(15 citation statements)

References 40 publications

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“…The results of this work, especially the thermal shock loading, agree with the results of the work 4,30 and agree with the results of many other work rather than skin tissue 34,35 .…”

Section: Resultssupporting

confidence: 90%

“…where θ = − T T ( ) b is the temperature increment. The equation of motion of a one-dimensional thermoelastic material is 30 : The stress-strain relation in the form:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…By solving the system of linear Eqs. (26), (27), (30) and 31, we complete the solutions in the Laplace transform domain.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading

Youssef

Alghamdi

2020

Sci Rep

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this work introduces a mathematical model of thermoelastic skin tissue in the context of the dualphase-lag heat conduction law. One-dimensional skin tissue has been considered with a small thickness and its outer surface traction free. The bounding plane of the skin tissue is subjected to three different types of thermal loading; thermal shock, ramp type heating, and harmonic heating. The inner surface has no temperature increment and traction free. Laplace transform techniques have been used, and its inversions have been calculated by using the Tzuo method. The numerical results have been represented in figures. The thermal shock time parameter, the ramp-type heat parameter, and the angular thermal parameter have significant effects on the temperature increment, the strain, the displacement, and the stress distributions, and they play vital roles in the speed propagation of the thermomechanical waves through the skin tissue.

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“…The results of this work, especially the thermal shock loading, agree with the results of the work 4,30 and agree with the results of many other work rather than skin tissue 34,35 .…”

Section: Resultssupporting

confidence: 90%

“…where θ = − T T ( ) b is the temperature increment. The equation of motion of a one-dimensional thermoelastic material is 30 : The stress-strain relation in the form:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading

Youssef

Alghamdi

2020

Sci Rep

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“…Uma análise para determinar condições de contorno não homogêneasé apresentada por M.Lei M. Li (2018), o modelo em estudoé decorrente de um problema unidimensional multicamada, a distribuição de temperaturaé obtida pelo método de elementos finitos. Três exemplos numéricos são apresentados para validar a precisão do método.…”

Section: Problemas Inversos Aplicados a Multicamadasunclassified

Estudo do Desempenho Térmico de Ferramentas de Corte Revestidas a partir da Obtenção da Solução Analítica de um Modelo Térmico de Condução de Calor 3D Transiente Dupla Camada

Oliveira¹

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“…O conceito de Biotermodinâmica foi abordado por Li et al (2018) que envolve a junção da equação da bio transferência de calor, bio mecânica, dano por queimadura e compreenção da fisiologia. O conceito Biothermomechanics segundo os autores é muito importante para aplicações clínicas em tecidos vivos.…”

Section: Problemas Em Condução De Calor Não Linearesunclassified

Uso da Transformada de Kirchhoff e Funções de Green para solução analítica de problemas inversos não lineares em condução de calor

Silveira¹

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Heat conduction problems can be observed in many aspects. The importance of understanding this phenomenon lies in the process improvement and in the materials characterization. However, it is observed that in most of the processes the variation of thermal properties with temperature occurs, this phenomenon is mainly observed in large temperature variations. Therefore, this work proposes the use of the Kirchhoff's transform and Green's functions to determine the analytical solution for the nonlinear unsteady heat conduction with nonlinear boundary condictions. The kirchhoff's transform is used for problem linearization and the solution of linear version is determined using Green's functions, so the nonlinear solution is reconstruted using the Kirchhoff's inverse transform. Comparisons with experimental temperatures were made and there was a great agreement of the solution obtained in this work. The inverse approach is also proposed, adapting, for the nonlinear version, the techinque: transfer function based on Green's functions TFBGF, to estimate heat flux, considering a one-dimensional problem, the aplication of the techinque was efficient to estimate two distinct types of heat flux. It is also proposed to develop a techique for conductivity behavior determination varying with temperature. The technique is based on the application of the Kirchhoff's transform to determine the polynomial coefficients k(T). Comparisons of estimated coefficients using different forms of k(T) are shown according to the theoretical values.

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Analytical study of transient thermo-mechanical responses of dual-layer skin tissue with variable thermal material properties

Cited by 64 publications

References 40 publications

Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading

Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading

Estudo do Desempenho Térmico de Ferramentas de Corte Revestidas a partir da Obtenção da Solução Analítica de um Modelo Térmico de Condução de Calor 3D Transiente Dupla Camada

Uso da Transformada de Kirchhoff e Funções de Green para solução analítica de problemas inversos não lineares em condução de calor

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