Thermally conductive elliptic inhomogeneities in 2D anisotropic solids

Ursescu, Ana; Dascalu, Cristian

doi:10.1007/s00419-005-0444-z

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…Due to the one-way thermomechanical coupling, the temperature field induces thermal stresses in the material which are singular near the crack tip. Examples of some articles in which the effect of heat flow in cracked materials is investigated are: Koizumi et al (1979), Wu (1984), Tsai (1984), Sturla and Barber (1988), Kuo (1990), Hwu (1990), Hwu (1992), Tarn and Wang (1993), Itou (2000), Ursescu and Dascalu (2006), Zhong and Wu (2012) and references cited there, and chapter 10 in Hwu (2010) monograph . The analysis of Ting and Yan (1992) of the singularities at the tip of interfacial cracks in anisotropic materials subjected to heat flow forms a generalization of the square root singularity that occurs in homogeneous materials.…”

Section: Introductionmentioning

confidence: 99%

The Induced Stress Field in Cracked Composites by Heat Flow

Aboudi¹

2017

Preprint

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A multiscale (micro-macro) approach is proposed for the establishment of the full thermal and induced stress fields in cracked composites that are subjected to heat flow. Both the temperature and stresses distributions are determined by the solution of a boundary value problem with one-way coupling. In the micro level and for combined thermomechanical loading, a micromechanical analysis is employed to determine the effective moduli, coefficients of thermal expansion and thermal conductivities of the undamaged composite. In the macro level, the representative cell method is employed according to which the periodic damaged composite region is reduced, in conjunction with the discrete Fourier transform, to a finite domain problem. As a result, a boundary value problem is obtained in the Fourier transform domain which is appropriately discretized and solved. The inverse transform and an iterative procedure provide the full thermal and stress fields. The proposed method is verified by comparisons with exact solutions. Applications are given for the determination of the thermal and stress fields in cracked fiber-reinforced polymeric composite, cracked porous ceramic material and cracked periodically layered ceramic composite caused by the application of heat flow. The presented formulation admits however the application of a combined mechanical and heat flux on cracked composites.

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Section: Introductionmentioning

confidence: 99%

The Induced Stress Field in Cracked Composites by Heat Flow

Aboudi¹

2017

Preprint

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“…Examples of some articles in which the effect of heat flow in cracked materials is investigated are: [1][2][3][4][5][6][7][8][9][10][11] and the references cited therein, as well as Chapter 10 in the monograph [12]. The analysis of [13] of the singularities at the tip of interfacial cracks in anisotropic materials subjected to heat flow forms a generalization of the square root singularity that occurs in homogeneous materials.…”

Section: Introductionmentioning

confidence: 99%

The Induced Stress Field in Cracked Composites by Heat Flow

Aboudi

2017

J. Compos. Sci.

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Abstract:A multiscale (micro-macro) approach is proposed for the establishment of the full thermal and induced stress fields in cracked composites that are subjected to heat flow. Both the temperature and stresses' distributions are determined by the solution of a boundary value problem with one-way coupling. At the micro level and for combined thermomechanical loading, a micromechanical analysis is employed to determine the effective moduli, coefficients of thermal expansion and thermal conductivities of the undamaged composite. At the macro level, the representative cell method is employed according to which the periodic damaged composite region is reduced, in conjunction with the discrete Fourier transform, to a finite domain problem. As a result, a boundary value problem is obtained in the Fourier transform domain, which is appropriately discretized and solved. The inverse transform and an iterative procedure provide the full thermal and stress fields. The proposed method is verified by comparisons with exact solutions. Applications are given for the determination of the thermal and stress fields in cracked fiber-reinforced polymeric composite, cracked porous ceramic material and cracked periodically-layered ceramic composite caused by the application of heat flow. The presented formulation admits however the application of a combined mechanical and heat flux on cracked composites.

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