Macroscopical Modeling and Numerical Simulation for the Characterization of Crack and Durability Properties of Particle-Reinforced Elastomers
Macroscopical Modeling and Numerical Simulation for the Characterization of Crack and Durability Properties of Particle-Reinforced Elastomers
复制标题
颗粒增强弹性体裂纹和耐久性能表征的宏观建模和数值模拟
DOI：
10.1007/978-3-642-37910-9_5
复制
发表时间：
2013
影响因子：
4.1
通讯作者：
M. Kaliske
中科院分区：
文献类型：
--
作者：
R. Behnke;H. Dal;G. Geißler;Bastian Näser;C. Netzker;M. Kaliske
颗粒增强或填充弹性体的数值模拟是一项具有挑战性的任务，包括有限变形，非线性弹性，局部损伤以及率相关和率无关的耗散特性的充分表示。在结构尺度上，材料的永久性改变是可见的，作为离散裂纹的形成和扩展，特别是在灾难性裂纹扩展和疲劳裂纹扩展的情况下。在这一章中，宏观力学制定的材料模型有限粘弹性和内时弹塑性填充弹性体，以描述材料的未损坏的连续响应。在有限元离散结构尺度上，采用材料力法对材料的裂纹敏感性进行了评估。材料力用于计算确定耗散橡胶材料的断裂力学参数。最后，任意裂纹增长的结构水平上解决了自适应实施的凝聚力元素。在第一个应用程序中，裂纹扩展从初始侧切口在拉伸橡胶试样混合模式下加载数值预测和实验观察相比。在第二个例子中，平均应力和能量为基础的标准进行了研究和比较，就其裂纹路径的可预测性。在第三个例子中，轮胎设计的耐久性通过使用材料力方法进行数值评估。
Numerical modeling of particle-reinforced or filled elastomers is a challenging task and includes the adequate representation of finite deformations, nonlinear elasticity, local damage as well as rate-dependent and rate-independent dissipative properties. On the structural scale, the permanent alteration of the material is visible as formation and propagation of discrete cracks, especially in the case of catastrophic crack growth and fatigue crack propagation. In this chapter, macromechanically formulated material models for finite viscoelasticity and endochronic elasto-plasticity of filled elastomers are presented in order to describe the material response of the undamaged continuum. On the FE-discretized structural scale, crack sensitivity of the material is assessed by the material force method. Material forces are used for the computational determination of fracture mechanical parameters of dissipative rubber material. Finally, arbitrary crack growth on the structural level is addressed by an adaptive implementation of cohesive elements. In a first application, crack propagation starting from an initial side notch in a tensile rubber specimen under mixed-mode loading is numerically predicted and compared to experimental observations. In a second example, averaged stress and energy based criteria are studied and compared with respect to their crack path predictability. In a third example, the durability of a tire design is numerically assessed by using the material force method.