以下为句子列表：
英文: According to the constitutive relationship in linear piezoceramics, elliptical crack problems in impermeable case are analyzed with hypersingular integral equation method.
中文: 摘要在线性压电陶瓷本构关系和裂纹边界绝缘的框架下，用超奇异积分方程的方法对椭圆类片状裂纹问题进行了重新研究。
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英文: An existence theorem of solution is established for a class of fourth-ordet two-point boundary value problems with all order derivatives by using integral equation and considering the heightof nonlinear term.
中文: 摘要通过运用积分方程并考察非线性项的“高度”对一类含有各阶导数的四阶两点边值问题建立了一个解的存在定理。
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英文: Analysis system of boundary integral equation based on the above mentioned accurate boundary condition was set up.
中文: 建立了基于准确的边界条件的边界积分方程分析体系，最终得到开口结构的应力分布。
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英文: Based on the fundamental solution of two perfectly bonded elastic halfspaces, and using the boundary integral equation method and the finite-part integral concepts, the problem is reduced to a hypersingular integral equation in which the unknown function
中文: 首先根据双材料空间的弹性力学基本解，使用边界积分方程方法，在有限部积分的意义下导出了以裂纹面位移间断为未知函数的超奇异积分方程。
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英文: By the integral to boundary layer thickness and relative conditions, the momentum integral equation of boundary layer is obtained.
中文: 通过对边界层厚度的积分并利用相关条件，得到了边界层动量积分方程。
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