Thermoelastic response of thin plate with variable material properties under transient thermal shock

Wang, Yingze; Liu, Dong; Wang, Qian; Chen, Shu

doi:10.1016/j.ijmecsci.2015.10.013

Cited by 38 publications

(3 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The thermoelastic coupling term in the heat conduction equation is so small and usually neglected in practice 44 . It is important in many applications, such as thermal shocks 45 , 46 , ultrafast laser heating in the thermal processing of materials 47 , 48 , modeling of the vibration of resonant microelectromechanical systems (MEMS) 49 – 52 , and dynamic crack propagation 53 . Therefore, the thermoelastic effect should be taken into account in the mentioned application.…”

Section: Governing Equationsmentioning

confidence: 99%

Thermo-vibrational analyses of skin tissue subjected to laser heating source in thermal therapy

Ghanbari

Rezazadeh

2021

Sci Rep

View full text Add to dashboard Cite

Laser-induced thermal therapy, due to its applications in various clinical treatments, has become an efficient alternative, especially for skin ablation. In this work, the two-dimensional thermomechanical response of skin tissue subjected to different types of thermal loading is investigated. Considering the thermoelastic coupling term, the two-dimensional differential equation of heat conduction in the skin tissue based on the Cattaneo–Vernotte heat conduction law is presented. The two-dimensional differential equation of the tissue displacement coupled with the two-dimensional hyperbolic heat conduction equation in the tissue is solved simultaneously to analyze the thermal and mechanical response of the skin tissue. The existence of mixed complicated boundary conditions makes the problem so complex and intricate. The Galerkin-based reduced-order model has been utilized to solve the two-sided coupled differential equations of vibration and heat transfer in the tissue with accompanying complicated boundary conditions. The effect of various types of heating sources such as thermal shock, single and repetitive pulses, repeating sequence stairs, ramp-type, and harmonic-type heating, on the thermomechanical response of the tissue is investigated. The temperature distribution in the tissue along depth and radial direction is also presented. The transient temperature and displacement response of tissue considering different relaxation times are studied, and the results are discussed in detail.

show abstract

Section: Governing Equationsmentioning

confidence: 99%

Thermo-vibrational analyses of skin tissue subjected to laser heating source in thermal therapy

Ghanbari

Rezazadeh

2021

Sci Rep

View full text Add to dashboard Cite

show abstract

“…The thermoelastic coupling term in the heat conduction equation is so small and usually neglected in practice [37]. It has been found to be important in many applications, such as thermal shocks [38][39], ultrafast laser heating in the thermal processing of materials [40][41], modeling of the vibration of resonant microelectromechanical systems (MEMS) [42][43], and dynamic crack propagation [44]. Therefore, the thermoelastic effect should be taken into account in the mentioned application.…”

Section: Two-dimensional Hyperbolic Heat Transfer Equationmentioning

confidence: 99%

Two-Dimensional Vibrating And Thermal Response of Skin Tissue To Different Types of Heat Sources Considering The Hyperbolic Heat Transfer Equation

Ghanbari

Rezazadeh

2021

Preprint

View full text Add to dashboard Cite

Laser-induced thermal therapy, due to its applications in various clinical treatments, has become an efficient alternative, especially for skin ablation. In this work, the two-dimensional thermomechanical response of skin tissue subjected to different types of thermal loading is investigated. Considering the thermoelastic coupling term, the two-dimensional differential equation of heat conduction in the skin tissue based on the Cattaneo–Vernotte heat conduction law is presented. The two-dimensional differential equation of the tissue displacement coupled with the two-dimensional hyperbolic heat conduction equation of tissue is solved simultaneously to analyze the thermal and mechanical response of the skin tissue. The existence of mixed complicated boundary conditions makes the problem so complex and intricate. The Galerkin-based reduced-order model has been utilized to solve the two-sided coupled differential equations of skin displacement and heat transfer with accompanying complicated boundary conditions. The effect of various types of heating sources such as thermal shock, single and repetitive pulses, repeating sequence stairs, ramp-type, and harmonic-type heating, on the thermomechanical response of the tissue is investigated. The temperature distribution in the tissue along the depth and radial direction is also presented. The transient temperature and displacement response of tissue considering different relaxation times are studied, and the results are discussed in detail.

show abstract

“…The thermoelastic coupling terms occurring in the heat conduction equation are usually small and neglected in practice [1][2][3]. Taking them into account, however, has been found important in many applications, such as the modeling of the vibration of resonant microelectromechanical systems (MEMS) [4][5][6], dynamic crack propagation [7][8][9], thermal shocks [10][11][12][13][14], ultrafast laser heating in thermal processing of materials [15][16][17][18], and wave propagation [19][20][21][22]. In some of these applications, using the Cattaneo-Vernotte conduction model instead of Fourier's law and/or accounting for the temperature dependence of the material moduli have resulted in better predictions [14,23,24].…”

Section: Introductionmentioning

confidence: 99%

Coupled heat equation in thermoelasticity with temperature dependent moduli

Boussaa

2019

Journal of Thermal Stresses

View full text Add to dashboard Cite

New and consistent expressions for the coupled heat equation are developed within the framework of small-strain thermoelasticity for both the Fourier and Cattaneo-Vernotte conduction models. These expressions place no restrictions on the changes in temperature, allow for the temperature dependence of the thermoelastic moduli, and include all the coupling terms as functions of the thermoelastic moduli and their derivatives. As applications, (i) an extended Lord-Shulman-type model is derived that takes into account the temperature dependence of the thermoelastic moduli, and (ii) the equations underpinning the experimental technique of thermoelastic stress analysis are revisited.

show abstract

Thermoelastic response of thin plate with variable material properties under transient thermal shock

Cited by 38 publications

References 24 publications

Thermo-vibrational analyses of skin tissue subjected to laser heating source in thermal therapy

Thermo-vibrational analyses of skin tissue subjected to laser heating source in thermal therapy

Two-Dimensional Vibrating And Thermal Response of Skin Tissue To Different Types of Heat Sources Considering The Hyperbolic Heat Transfer Equation

Coupled heat equation in thermoelasticity with temperature dependent moduli

Contact Info

Product

Resources

About