Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method

Xu, Benlian; Shen, Zhonghua; Lü, Jian; Ni, Xiaowu; Zhang, S.Y.

doi:10.1016/s0017-9310(03)00345-4

Cited by 36 publications

(11 citation statements)

References 7 publications

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“…8 to show the validity of the proposed method. It can be seen from this figure that the DRBEM results of the current study are in excellent agreement with the results obtained by the finite element method (FEM) of Xu et al (2003).…”

Section: Numerical Results and Discussionsupporting

confidence: 86%

“…To achieve better efficiency than the technique described in Fahmy (2012d), we use the implicit-implicit algebraic augmentation procedure into a DRBEM code, which is proposed in the current study. The example considered by Xu et al (2003) may be considered as a special case of the current general problem. In the considered special case, the results of the temperature T are plotted through the structure thickness in Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

Fahmy

2014

Lat. Am. j. solids struct.

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A numerical computer model, based on the dual reciprocity boundary element method (DRBEM) for studying the generalized magneto-thermo-visco-elastic stress waves in a rotating functionally graded anisotropic thin film/substrate structure under pulsed laser irradiation is established. An implicit-implicit staggered algorithm was proposed and implemented for use with the DRBEM to get the solution for the temperature, displacement components and thermal stress components through the structure thickness. A comparison of the results for different theories is presented in the presence and absence of rotation. Some numerical results that demonstrate the validity of the proposed method are also presented. Key wordsMagneto-Thermoviscoelasticity; Rotation; Functionally graded materials; Anisotropic; Dual Reciprocity Boundary Element Method; Distribution.A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures 1 INTRODUCTION Biot (1956) introduced the theory of coupled thermoelasticity to overcome the first shortcoming in the theory of uncoupled thermoelasticity introduced by Duhamel (1837) and Neuman (1885) where it predicts two phenomena not compatible with physical observations. First, the equation of heat conduction of this theory does not contain any elastic terms. Second, the heat equation is of a parabolic type, predicting infinite speeds of propagation for heat waves. Later on, generalized theories of thermoelasticity were introduced in order to eliminate the shortcomings of the uncoupled thermoelasticity. Lord and Shulman (1967) developed the theory of coupled thermoelasticity with one relaxation time by constructing a new law of heat conduction to replace the classical Fourier's law. This law contains the heat flux vector as well as its time derivative. It contains also new constant that acts as relaxation time. Since the heat equation of this theory is of the wave-type, it automatically ensures finite speeds of propagation for heat and elastic waves. Green and Lindsay (1972) cluded a temperature rate among the constitutive variables to develop a temperature-ratedependent thermoelasticity that does not violate the classical Fourier's law of heat conduction when the body under consideration has a center of symmetry; this theory also predicts a finite speed of heat propagation. This theory is known as the theory of thermoelasticity with two relaxation times. According to these theories, heat propagation should be viewed as a wave phenomenon rather than diffusion one Relevant theoretical developments on the subject were made by Naghdi (1992, 1993) they developed three models for generalized thermoelasticity of homogeneous isotropic materials which are labeled as model I, II and III. These theories of thermoelasticity LS, GL and GN theories are known as the generalized theories of thermoelasticity with finite thermal wave speed. In general, it is not easy to obtain analytical solutions to a dynamical magneto-...

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Section: Numerical Results and Discussionsupporting

confidence: 86%

Section: Numerical Results and Discussionmentioning

confidence: 99%

A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

Fahmy

2014

Lat. Am. j. solids struct.

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“…However, it is extremely difficult to find an accurate value for laser beam absorptivity [10,13]. The absorptivity depends on the wavelength, material and temperature, and it is also affected by the surface condition of the material and angle of incidence of the beam [14][15][16]. Absorptivity can be augmented by applying an absorptive coating to the surface, or by allowing the surface to oxidize during processing [17].…”

Section: Laser Absorptivitymentioning

confidence: 99%

Thermal fatigue on pistons induced by shaped high power laser. Part II: Design of spatial intensity distribution via numerical simulation

Song¹,

Yu²,

Kaplan³

et al. 2008

International Journal of Heat and Mass Transfer

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In the laser induced thermal fatigue simulation test on pistons, the high power laser was transformed from the incident Gaussian beam into a concentric multi-circular pattern with specific intensity ratio. The spatial intensity distribution of the shaped beam, which determines the temperature field in the piston, must be designed before a diffractive optical element (DOE) can be manufactured. In this paper, a reverse method based on finite element model (FEM) was proposed to design the intensity distribution in order to simulate the thermal loadings on pistons. Temperature fields were obtained by solving a transient three-dimensional heat conduction equation with convective boundary conditions at the surfaces of the piston workpiece. The numerical model then was validated by approaching the computational results to the experimental data. During the process, some important parameters including laser absorptivity, convective heat transfer coefficient, thermal conductivity and Biot number were also validated. Then, optimization procedure was processed to find favorable spatial intensity distribution for the shaped beam, with the aid of the validated FEM. The analysis shows that the reverse method incorporated with numerical simulation can reduce design cycle and design expense efficiently. This method can serve as a kind of virtual experimental vehicle as well, which makes the thermal fatigue simulation test more controllable and predictable.

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“…The shaped laser beam is produced with the aid of diffractive optics element (DOE) which can modulate freely the irradiance and phase profile of laser beam using their surface relief microstructures [10]. Before a DOE can be manufactured, the temperature field loaded by the shaped laser beam can be calculated based on finite element model (FEM) [11]- [13]. When the simulated temperature distribution well agrees with the target one, the DOE can be designed according to the certain intensity distribution of the shaped laser beam and then can be fabricated by very large scale integration technique [14].…”

Section: Introductionmentioning

confidence: 99%

Study on the temperature field loaded by a shaped laser beam on the top surface of a cylinder head for thermal fatigue test

Nie

et al. 2014

J. Eur. Opt. Soc.-Rapid Publ.

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In thermal fatigue test, the key point is whether the temperature field on the top surface of cylinder head induced by the heat source can well match it in real service. In order to produce the target temperature field in service which is measured by thermocouples, shaped laser beam generated by diffractive optics element (DOE) is chosen as the heat source to irradiate on the top surface of cylinder head. The DOE is designed based on the Gerchberg-Saxton (GS) algorithm and the simulated temperature field is calculated by finite element model (FEM). The results show that the simulated and experimental temperature field can well match the target one which demonstrates that this method is feasible to produce the target temperature field and can be used in thermal fatigue test.

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Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method

Cited by 36 publications

References 7 publications

A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

Thermal fatigue on pistons induced by shaped high power laser. Part II: Design of spatial intensity distribution via numerical simulation

Study on the temperature field loaded by a shaped laser beam on the top surface of a cylinder head for thermal fatigue test

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