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Singular Integral Equation Method for Thermal Contact Problem of FGM with Crack
奇异积分方程, 热接触问题, 功能梯度材料, 裂纹
Singular Integral Equation; Thermal Contact Problem; Functionally Graded Material; Crack
《Advances in Applied Mathematics》, Vol.1 No.2, 2012-11-28
Contact problems are common physical phenomena in the real life and engineering practices due to the inevitability of contact. At the end of the contact area, the phenomenon of stress concentration may happen, which can significantly reduce the service life of mechanical structural components. In recent years, functionally graded materials (FGMs) have been used in many important engineering practices to relieve stress concentration. The study of the contact problem of functionally graded materials can provide instruction to improve production efficiency and increase economic benefits with a great deal. The present paper discusses the thermal contact problem of a half-plane functionally graded material with a crack. By using the superposition principle, the stated problem is reduced to the Cauchy type singular integral equations of the first kind, which are solved via numerical quadrature method. Then, figures are plotted to reveal the influences of the parameters of the non-homogeneity, the friction coefficient, and the dimension of crack on the stress intensity factor.