CAJ | 학술논문

用复函数的Faber级数展开方法，通过求解Hilbert问题研究了含任意曲线裂纹的压电材料反平面应变问题，获得了问题的解析解和场强度因子。结果表明，当边界上仅受应力和电位移载荷作用时，应力场与电位移载荷无关，电位移场与应力载荷无关。算例中分别给出了圆弧裂纹的强度因子和椭圆弧裂纹问题的无量纲强度因子。
용복함수적Faber급수전개방법，통과구해Hilbert문제연구료함임의곡선렬문적압전재료반평면응변문제，획득료문제적해석해화장강도인자。결과표명，당변계상부수응력화전위이재하작용시，응력장여전위이재하무관，전위이장여응력재하무관。산례중분별급출료원호렬문적강도인자화타원호렬문문제적무량강강도인자。
The analytic solution and the intensity factor of anti-plane strain problems of curvilinear cracks in piezoelectric materials are obtained by using the Faber series expansion of complex variable functions and solving Hilbert problem. The stress field is independent of the electric displacement loading, and the electric displacement field is independent of the stress loading while there only are stress and electric displacement loading on the boundary. The intensity factor of circular-arc cracks and elliptical cracks are obtained in some special cases.