在反平面变形下功能梯度压电板条的应力强度因子分析

STRESS INTENSITY FACTOR ANALYSIS OF A FUNCTIONALLY GRADED PIEZOELECTRIC STRIP UNDER ANTI-PLANE DEFORMATION

  • 摘要: 利用Fourier变换技术将混合边值问题化为对偶积分方程,求解对偶积分方程得到应力强度因子以及电位移强度因子的表达式。最后通过数值计算讨论了材料参数、载荷条件以及裂纹的几何参数等对功能梯度压电材料中裂纹尖端应力强度因子的影响。

     

    Abstract: By using the Fourier transform and defining the jumps of displacement and electric potential components across the crack surface as unknown functions,two pairs of dual integral equations are derived.To solve the dual integral equations,the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials.Numerical examples are provided to show the effects of material properties,loading condition and crack size on the stress and electric displacement intensity factors.

     

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