含粘结界面混杂层合板损伤的相场模型
On a phase--field model of damage for hybrid laminates with cohesive interface
摘要：
在本文中，我们调查的速率无关模型描述的混合层合板的损伤相场的方法在两个层上耦合的内聚法在一个一维的设置，其界面的行为。对于分析，我们采用的概念，充满活力的演变，基于全球最小化所涉及的能量。由于内聚区的存在，已经出现在文献中，紧凑性问题导致引入一个虚构的变量，取代物理的，它代表了最大的开放的界面位移不连续的演变过程中达到的。一种新的策略，它允许恢复之间的等效性的虚拟和实变量一般加载-卸载制度示出。这个论点是基于能量演化的时间规律性。这种规律性是通过在层的弹性能的凸度和界面的内聚能的自然凸度之间的仔细平衡来实现的。
英文摘要：
In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the behaviour of their interface in a one-dimensional setup. For the analysis we adopt the notion of energetic evolution, based on global minimisation of the involved energy. Due to the presence of the cohesive zone, as already emerged in literature, compactness issues lead to the introduction of a fictitious variable replacing the physical one which represents the maximal opening of the interface displacement discontinuity reached during the evolution. A new strategy which allows to recover the equivalence between the fictitious and the real variable under general loading--unloading regimes is illustrated. The argument is based on temporal regularity of energetic evolutions. This regularity is achieved by means of a careful balance between the convexity of the elastic energy of the layers and the natural concavity of the cohesive energy of the interface.
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