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首页> 外文期刊>Acta Mechanica >Extended semi-analytical investigations of crack growth resistance behavior in ferroelectric materials
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Extended semi-analytical investigations of crack growth resistance behavior in ferroelectric materials

机译:铁电材料抗裂纹扩展行为的扩展半分析研究

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In the present work, we study the effective fracture toughness of ferroelectrics by taking the microscopic as well as the macroscopic level into account. On the macroscopic length scale, we apply an extended theory of stresses at interfaces in dielectric solids. Further, on the microscopic length scale, nonlinear effects are introduced by applying the small-scale switching approximation, that is, the effects are limited to a small region around the crack tip. Finally, we discuss the effective fracture toughness and crack resistance curves for different loading and poling conditions. In contrast to previous approaches, the analysis is done considering the full anisotropy and electromechanical coupling of the material by using piezoelectric weight functions. Thus, the presented model also takes the inverse switching (180°) into account yielding a contribution to both the stress and the electric displacement intensity factors.
机译:在当前的工作中,我们通过考虑微观和宏观层面来研究铁电材料的有效断裂韧性。在宏观长度尺度上,我们在介电固体界面处应用了扩展的应力理论。此外,在微观长度尺度上,通过应用小尺度切换近似来引入非线性效应,即,该效应限于裂纹尖端周围的小区域。最后,我们讨论了不同载荷和极化条件下的有效断裂韧度和抗裂性曲线。与以前的方法相比,使用压电权重函数考虑材料的完全各向异性和机电耦合进行分析。因此,所提出的模型还考虑了反向切换(180°),从而对应力和电位移强度因子都有贡献。

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