Thermo-mechanical coupling response of a layered isotropic medium around a cylindrical heat source

Ai, Zhi Yong; Zhao, Zhen; Wang, Lujun

doi:10.1016/j.compgeo.2016.11.008

Cited by 16 publications

(8 citation statements)

References 19 publications

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“…It is important to keep in mind that the calculated temperature at the absorbing layer differs whether a volumetric or surface heat source is used. Modeling a volumetric heat source is possible using the stiffness matrix method [31] but at the expense of longer computation time, which is acceptable after material properties are fitted. Using a volumetric or a surface heat source does not, however, affect temperature precision, which depends on the uncertainty of the fitted values.…”

Section: Governing Equations Of the Axisymmetric Thermo-mechanical Problemmentioning

confidence: 99%

“…We followed the formulation by Ai et al [31] to derive the state vector from the elastic equations, the generalized thermo-elastic Hooke Law, and the semi-coupled heat diffusion equation, where and are the 1 st and 0 th -order Hankel-Laplace (HL) transforms of the normal displacement components in the r and z directions, and is the 0 th -order HL transform of the temperature change. Numerical integration was then performed to find , , and , and the ΔOPLs were calculated using equations S2 and S7.…”

Section: Thermo-elastic Modeling Of Transient Heatingmentioning

confidence: 99%

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Interferometric imaging of thermal expansion for temperature control in retinal laser therapy

Veysset

Ling

Zhuo

et al. 2021

Preprint

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Precise control of the temperature rise is a prerequisite for proper photothermal therapy. In retinal laser therapy, the heat deposition is primarily governed by the melanin concentration, which can significantly vary across the retina and from patient to patient. In this work, we present a method for determining the optical and thermal properties of layered materials, directly applicable to the retina, using low-energy laser heating and phase-resolved optical coherence tomography (pOCT). The method is demonstrated on a polymer-based tissue phantom heated with a laser pulse focused onto an absorbing layer buried below the phantom’s surface. Using a line-scan spectral-domain pOCT, optical path length changes induced by the thermal expansion were extracted from sequential B-scans. The material properties were then determined by matching the optical path length changes to a thermo-mechanical model developed for fast computation. This method determined the absorption coefficient with a precision of 2.5% and the temperature rise with a precision of about 0.2°C from a single laser exposure, while the peak did not exceed 8°C during 1 ms pulse, which is well within the tissue safety range and significantly more precise than other methods.

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Section: Governing Equations Of the Axisymmetric Thermo-mechanical Problemmentioning

confidence: 99%

Section: Thermo-elastic Modeling Of Transient Heatingmentioning

confidence: 99%

Interferometric imaging of thermal expansion for temperature control in retinal laser therapy

Veysset

Ling

Zhuo

et al. 2021

Preprint

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“…Ai et al [32] introduced an extended precise integration solution for the coupled thermoelastic problems with the integral transformation techniques to illustrate the influence of the coupling of thermoelasticity and layered characteristics on the thermo-mechanical response. Ai et al [33] discussed the thermo-mechanical response of a layered isotropic medium around a cylindrical heat source. Lu et al [34] derived a modified scaled boundary finite element method to study three dimensional steadystate heat conduction in anisotropic layered media.…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

Vashishth

Rani²,

Singh

2020

International Journal of Applied Mechanics and Engineering

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This article deals with a 2-D problem of quasi-static deformation of a multilayered thermoelastic medium due to surface loads and heat source. The propagator matrix is obtained for the multilayered formalism of thermoelastic layers. Analytical solutions, in terms of the displacements, stresses, heat flux and temperature function, are obtained for normal strip and line loads, shear strip and line loads and strip and line heat sources. Numerical computation of the obtained analytical expressions is also done. The effects of layering have been studied. For the verification of the results, results of earlier studies have been obtained as particular cases of the present study.

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“…Selvadurai and Najari presented the experiment results where THM processes were initiated in an intact cylindrical sample of limestone containing a central cylindrical fluid‐filled cavity. Ai et al studied the TM responses of a multilayered isotropic medium around a cylindrical heat source. In conclusion, although a number of heat source models have been developed for various engineering applications, the soils were modelled limited either to be homogeneous or to be thermoelastic materials, which prevents more realistic soil behaviour in the field from being captured.…”

Section: Introductionmentioning

confidence: 99%

“…It is also worth mentioning that the exponential overflow caused by ill‐conditioned matrices in TMM can be effectively avoided in the present method, leading to higher stability and accuracy. For different types of heat source, several cylindrical heat source models with different types and complexities have been proposed independently by Bourne‐Webb et al, Mimouni and Laloui, Savvidou and Booker, Bai, Di Donna and Laloui, Selvadurai and Najari, and Ai et al, among others. A generalised cylindrical heat source model as conceptually shown in Figure , which can be related to linear, solid cylindrical, ring cylindrical, and hollow cylindrical heat source models, is proposed to analyse the responses of soils in different engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Coupled consolidation and heat flow analysis of layered soils surrounding cylindrical heat sources using a precise integration technique

Wang

Zhu

Chen

et al. 2019

Num Anal Meth Geomechanics

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Summary The engineering applications of energy piles, geological radioactive waste disposals, and mining wells of geothermal and petroleum are usually associated with strong coupled behaviour of consolidation and heat flow. This paper aims to present an efficient precise integration technique (PIT) for the analysis of such behaviour within layered saturated soils surrounding cylindrical heat sources (ie, with a cross section as a point, ring, or disc). Each soil layer, together with its embedded part of heat source, is divided into 2N layer elements with equal thickness. Then any pair of adjacent two layer elements are merged into a heat source on the interface. With the aid of Taylor series expansion and recurrence formula for adjacent layer elements combination, such problems can be solved by means of an improved PIT. Typical examples are performed to examine the effects of heat source type and soils layered properties on the coupled consolidation and heat flow responses. The elevation of the clay surface increases with time because of thermal expansion and reaches a peak value before showing a tendency of getting stabilised because of the dissipation of pore pressure becoming dominant. Such a peak cannot be achieved in sand case because of no accumulation of pore pressure. The influencing area of the heat source was found to be limited to near the source. These quantitative results serve as good verification of the presented technique, which proves to be remarkably efficient and several orders more accurate than traditional numerical techniques in that it ideally reaches the accuracy limit of the hardware of the computers used.

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Thermo-mechanical coupling response of a layered isotropic medium around a cylindrical heat source

Cited by 16 publications

References 19 publications

Interferometric imaging of thermal expansion for temperature control in retinal laser therapy

Interferometric imaging of thermal expansion for temperature control in retinal laser therapy

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

Coupled consolidation and heat flow analysis of layered soils surrounding cylindrical heat sources using a precise integration technique

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