Dynamic Stability of Structural Degradation

该项目将研究动态故障的预测价值 当结构逐渐退化时的计算 由于弹性损伤和软化，会发生性能变化。 动态稳定性预测一方面需要鲁棒解 战略，生存的材料不稳定性，在小 局部失效机制仍然受限的区域。 上 另一方面，基本的数学模型及其 计算实现必须对 捕获渐进式故障并控制其传播， 现实的方式。 为此，不同的故障指标将 用于跟踪动态不稳定性， 监控动态失效计算， 隐式解决策略 主要目标是开发一种适应性解决方案 基于李雅普诺夫稳定性指标的方法， 在空间和时间域中的分叉。小说 方法论将与现实的结构问题说明 其表现出降低的刚度和强度性能， 材料层面的损伤和软化行为。

The project will examine the predictive value of dynamic failure computations when progressive degradation of the structural properties takes place due to elastic damage and softening. Dynamic stability predictions require on one hand robust solution strategies which survive material instabilities in the small region when localized failure mechanisms remain confined. On the other hand, the underlying mathematical model and its computational implementation must be sufficiently sensitive to capture progressive failure and to control its propagation in a realistic manner. To this end, different failure indicators will be implemented for tracing dynamic instabilities and for monitoring dynamic failure calculations within explicit and implicit solution strategies. The principal objective is the development of an adaptive solution method based on Lyapunov stability indicators which capture bifurcations both in the space and in the time domain. The novel methodology will be illustrated with realistic structural problems which exhibit degrading stiffness and strength properties due to damage and softening behavior on the material level.