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On design sensitivity analysis in linear elasticity by the boundary contour method

机译：用边界轮廓法分析线弹性设计灵敏度。

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摘要

A new derivation for design sensitivity analysis using the concept of he material derivative (or total derivative), and boundary contour conversion, is presented in this paper. This derivation is carried out by first taking the material derivative of the regularized Boundary Integral Equation (BIE) with respect to a shape design variable, and then converting the resulting equations into their boundary contour version. As expected, the final design sensitivity equations are identical to those presented in Ref. [1] in which the opposite process, namely, conversion of the BIE into a boundary contour version, followed by material differentiation, had been carried out.
机译：本文提出了一种利用材料导数（或总导数）和边界轮廓转换的概念进行设计灵敏度分析的新方法。首先通过对形状设计变量取正则化边界积分方程（BIE）的材料导数，然后将所得方程转换为其边界轮廓形式，来进行这种推导。如预期的那样，最终设计灵敏度方程与参考文献5中给出的方程相同。 [1]其中进行了相反的过程，即将BIE转换为边界轮廓版本，然后进行材料区分。

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