一种结构静力重分析方法及其在层合板逐次失效分析中的应用  

A STRUCTURAL STATIC REANALYSIS METHOD AND ITS APPLICATION ON THE PROGRESSIVE FAILURE ANALYSIS OF COMPOSITE LAMNATES

作　　者：黄传奇[1] 

机构地区：[1]南京航空航天大学飞行器系,南京210016

出　　处：《工程力学》1996年第3期130-141,共12页Engineering Mechanics

摘　　要：本文提出了一种结构静力重分析方法,通过引入结构刚体位移特征向量,可以消除刚度矩阵的奇异性,从而求出结构广义柔度矩阵,位移一般解可在边界条件尚未引入之前导出。对于给定载荷及边界条件的静力问题,可以通过求解一个阶数较小的线性系统来获得位移解。对于局部修改的结构,相对于新结构的广义柔度矩阵可以迅速加以修正。这种静力重分析方法可以用于载荷、边界条件及结构单元同时或分别改变时的静力重分析问题。 之后,这种重分析方法被应用于复合材料层合板逐次失效分析,用以进行受破坏结构的刚度重分析。用有限元法求得各铺层的应力之后,引入破坏准则来判断铺层失效及失效模式,在本构方程中引入三个参数来修改失效铺层的刚度。层合板的破坏扩展及极限强度通过逐渐增加载荷迭代求得。文中提供了多个算例,计算结果与实验数据及文献吻合良好。This paper presents an exact structural static reanalysis method for locally modified structures. Through the introduction of structural rigid body motion eigenvectors, the general solution of displacements can be expressed prior to any assignment of boundary conditions. For locally modified structures, the structural compliance matrix can be adjusted quickly. This static reanalysis method can be used for structures with modifications on structural elements, boundary and loading conditions, either independently or in combination.This method is then applied to analyze the progressive failure of composite laminates. The classical laminated plate theory is used with linear triangular elements for in - plane deformation. Various failure criteria are considered for the evaluation of the successive ply failures. The reanalysis method is used to perform the stiffness analysis of the damaged laminate. By increasing gradually the applied load, the damage propagation and the ultimate strength are obtained. Several examples are studied with excellent correlation with available experimental, numerical and theoretical results.

关 键 词：结构重分析 层合板 复合材料 失效分析 

分 类 号：TB12[理学—工程力学]