论文部分内容阅读
为了研究异种材料界面的开裂过程,在S?rensen等人工作的基础上,给出一种含剪胀效应张力-位移关系的构造方法。在界面受拉状态下,通过预先给定的剪胀函数及法向张力-位移关系导出切向张力-位移关系;在界面受压状态下,将切向张力分解为粘结力与摩擦力,摩擦力的大小与法向压力及粘结界面的破坏程度相关。该方法的结论解释了S?rensen模型中切向张力-位移关系不连续及其不符合一致关联准则的原因。为便于进行数值计算,给出了用于三维有限元模型的界面刚度矩阵计算方法。选取了一种特定形式的剪胀函数,并将法向张力-位移关系假定为分段线性形式和指数形式,分别求得对应的切向张力-位移关系。最后给出了两个工程应用的例子,数值模拟结果与试验数据吻合较好。
In order to study the cracking process of dissimilar materials interface, based on the work of S? Rensen et al., A construction method of tension-displacement relationship with dilatancy effect is given. Tensile tension-displacement relationship is derived from the relationship between the dilatancy function and the normal tension-displacement relationship under the condition of the interface tension. Under the condition of the interface compression, the tangential tension is decomposed into the bond force and the friction force, The magnitude of the friction is related to the normal pressure and the extent of damage to the bonding interface. The conclusion of this method explains the discontinuity of the tangential tension-displacement relation and the reason why it does not accord with the consistent association criterion in S? Rensen model. In order to facilitate the numerical calculation, an interface stiffness matrix calculation method for three-dimensional finite element model is given. A specific form of dilatancy function is selected, and the relationship between the normal tension and displacement is assumed to be piecewise linear and exponential, and the corresponding tangential tension-displacement relationship is obtained respectively. Finally, two examples of engineering applications are given. The numerical simulation results are in good agreement with the experimental data.