基于界面元法研究了含有不确定参数复合材料层合板分层的问题,以区间数学为基础,将不确定参数区间定量化,提出一种含有不确定参数复合材料层合板分层的区间分析方法,并从数学证明和数值算例两方面与概率方法进行对比,验证区间分析方法的可靠性.通过区间分析方法给出了不确定参数对DCB(Double cantilever beam)分层临界载荷的影响,并且得到在一定初始裂纹长度或铺层数量下,具有不确定参数DCB承载临界载荷的上下界值,这为不确定结构设计提供一定的依据.
Delamination in laminated composites with uncertain parameters was studied.Based on the interval mathematics,with uncertain parameters being modelled as interval numbers,an interval analysis method was proposed about delamination in laminated composites with uncertain parameters.The interval analysis was compared with the probability method with respect to the mathematical proof and numerical examples,which verifies the reliability.For a fixed pre-crack length or layer number,the upper and lower critical loads of DCB with uncertain parameters were obtained.It would provide reference for engineering design.
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