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含裂纹功能梯度材料热接触的奇异积分方程方法 被引量:2
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作者 李星 庞明军 《应用数学进展》 2012年第2期49-58,共10页
接触问题是我们生产、生活和实际工程中常见的物理现象,由于在接触过程中接触区内不可避免会产生应力集中现象,从而大大降低了机械结构部件的使用寿命。近些年来功能梯度材料的出现大大改善了这种缺陷,所以研究功能梯度材料的接触问题... 接触问题是我们生产、生活和实际工程中常见的物理现象,由于在接触过程中接触区内不可避免会产生应力集中现象,从而大大降低了机械结构部件的使用寿命。近些年来功能梯度材料的出现大大改善了这种缺陷,所以研究功能梯度材料的接触问题对于提高生产效率,增加经济效益和工程安全有着重要意义。本文讨论了带裂纹的半无限大功能梯度材料的热接触问题。利用叠加原理将所研究的问题转化为第一类带Cauchy核的奇异积分方程,并利用数值求积方法求解了奇异积分方程,得到了裂纹尖端的应力强度因子。通过程序画图分析了材料参数,摩擦系数及裂纹尺寸对裂纹尖端应力强度因子的影响。 展开更多
关键词 奇异积分方程 热接触问题 功能梯度材料 裂纹
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Inverse Heat Transfer Problem of Thermal Contact Conductance Estimation in Periodically Contacting Surfaces
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作者 M.H.Shojaeefard K.Goudarzi M.Sh.Mazidi 《Journal of Thermal Science》 SCIE EI CAS CSCD 2009年第2期150-159,共10页
The problems involving periodic contacting surfaces have different practical applications. An inverse heat conductionproblem for estimating the periodic Thermal Contact Conductance (TCC) between one-dimensional, const... The problems involving periodic contacting surfaces have different practical applications. An inverse heat conductionproblem for estimating the periodic Thermal Contact Conductance (TCC) between one-dimensional, constantproperty contacting solids has been investigated with conjugate gradient method (CGM) of function estimation.This method converges very rapidly and is not so sensitive to the measurement errors. The advantage of thepresent method is that no a priori information is needed on the variation of the unknown quantities, since the solutionautomatically determines the functional form over the specified domain. A simple, straight forward techniqueis utilized to solve the direct, sensitivity and adjoint problems, in order to overcome the difficulties associatedwith numerical methods. Two general classes of results, the results obtained by applying inexact simulatedmeasured data and the results obtained by using data taken from an actual experiment are presented. In addition,extrapolation method is applied to obtain actual results. Generally, the present method effectively improves theexact TCC when exact and inexact simulated measurements input to the analysis. Furthermore, the results obtainedwith CGM and the extrapolation results are in agreement and the little deviations can be negligible. 展开更多
关键词 thermal contact inverse problem conjugates gradient method
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