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首页> 外文期刊>Journal of thermal stresses >A MODE-I CRACK PROBLEM FOR AN INFINITE SPACE IN GENERALIZED THERMOELASTICITY
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A MODE-I CRACK PROBLEM FOR AN INFINITE SPACE IN GENERALIZED THERMOELASTICITY

机译:广义热弹性中无限空间的I型裂纹问题

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In this work, we solve a dynamical problem of an infinite space with a finite linear crack inside the medium. The Fourier and Laplace transform techniques are used. The problem is reduced to the solution of a system of four dual integral equations. The solution of these equations is shown to be equivalent to the solution of a Fredholm integral equation of the first kind. This integral equation is solved numerically using the method of regularization. The inverse Laplace transforms are obtained numerically using a method based on Fourier expansion techniques. Numerical values for the temperature, stress, displacement, and the stress intensity factor are obtained and represented graphically.
机译:在这项工作中,我们解决了介质内部具有有限线性裂纹的无限空间的动力学问题。使用了傅里叶和拉普拉斯变换技术。问题被简化为四个对偶积分方程组的解。这些方程的解被证明等效于第一类Fredholm积分方程的解。该积分方程使用正则化方法进行数值求解。使用基于傅立叶展开技术的方法在数值上获得拉普拉斯逆变换。获得了温度,应力,位移和应力强度因子的数值,并以图形方式表示。

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