Ply-cracking damage theory for cross-ply laminate and its application to finite element method
Ply-cracking damage theory for cross-ply laminate and its application to finite element method
复制标题
正交层合板层板开裂损伤理论及其在有限元方法中的应用
DOI：
10.1299/jsmea.44.282
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Ken Akizuki
中科院分区：
文献类型：
--
作者：
K. Tohgo;Yuji Sugiyama;Ken Akizuki
本文讨论了正交铺设层合板中90°和0°铺层的铺层开裂损伤理论及其在有限元法中的应用。将能量法推广到多轴面内载荷作用下90°和0°铺层的裂纹萌生和演化，以及相应的正交铺设层合板的非线性应力应变行为。在这种方法中，渐进损伤的应力和应变条件是通过等同的势能的减少，以释放的能量，其中前者和后者是估计的刚度减少由于裂纹损伤和从混合模式的单向铺层开裂的临界能量释放率，分别。该方法为我们提供了包含渐进裂纹损伤的正交铺设层合板的本构关系。将该理论应用于有限元法，分析了正交铺设层合板结构的开裂损伤和应力应变分布。作为算例，对7种含圆孔的CFRP正交铺设层板进行了有限元分析。数值结果表明，90 °铺层的横向裂纹损伤在板的韧带上广泛分布，0 °铺层的劈裂损伤从孔边开始沿板的纵向扩展。CFRP正交铺设层合板圆孔损伤演化的细节取决于铺层方式。
This paper deals with a theory of ply cracking damage on 90° and 0° plies in cross-ply laminate and its application to finite element method. An energy approach is extended to predict the initiation and evolution of ply-cracking damage on 90° and 0° plies and the corresponding nonlinear stress-strain behavior of the cross-ply laminate under multiaxial in-plane loading. In this approach, the stress and strain condition for the progressive damage are determined by equating the decrease in potential energy to the released energy, where the former and latter are estimated from the stiffness reduction due to ply-cracking damage and from the mixed-mode critical energy release rate for cracking of unidirectional ply, respectively. This approach provides us with the constitutive relation of cross-ply laminates including the progressive plycracking damage. This theory is applied to the finite element method in order to analyze the ply-cracking damage and stress/strain distributions of the structures made of cross-ply laminates. As an example, finite element analysis is carried out on the seven kinds of CFRP cross-ply laminates with a circular hole. The numerical results show that the transverse cracking damage in 90° plies is widely spread out on the ligament of the plate, and the splitting damage in 0° plies extends in the longitudinal direction from the edge of the hole. The details of the damage evolution around a circular hole in CFRP cross-ply laminate depend on the stacking lay-up.