考虑破坏过程含损复合材料层合板动力响应

Dynamic response of delaminated composite plates considering failure process

旨在研究含分层损伤层合板的动力响应和破坏行为.基于层合板的一阶剪切理论采用了分项等参插值并推导了复合材料层合板刚度阵、质量阵列式,在瑞利阻尼的基础上构造了相应的阻尼阵列式;建立了用于含分层损伤复合材料层合板动力分析的分层模型和虚拟界面连接单元,以防止低阶模态中在分层处出现的上、下子板不合理的脱离和嵌入现象;同时又采用了Tsai提出的0.44刚度退化准则和动力分析的Newmark法,对含分层损伤复合材料层合板结构进行了动荷载作用下的破坏分析.通过算例,分别讨论了外载频率、分层长度、位置以及破坏过程的刚度退化对含损伤复合材料动力响应特征的影响.

The paper studies the dynamic response behavior of the delaminated composite plates considering failure process. A formula of element stiffness and mass matrices for the composite laminates is deduced by using the first-order shear deformation theory combined with the selecting numerical integration scheme. A damping model is constituted on the basis of Rayleigh damping model. A delaminated constrained model and a virtual interface element are also developed for avoiding the overlap and penetration phenomena between the upper and the lower sub-laminates at the delamination region. The failure analysis method for the delaminated plates under the dynamic loading is established by Tsai's failure criterion and corresponding 0.44 reduced stiffness role, and the dynamic equation is solved by the Newmark direct integral method. By some numerical examples, the effects of frequency of the dynamic load, delamination length and location, and the reduction of structure stiffness during the failure process upon the dynamic behavior of the delaminated composite laminates are discussed. The method and conclusions would be useful for composite structures designers.