论文标题
在杂交层压板的损伤的相位 - 场模型上
On a phase--field model of damage for hybrid laminates with cohesive interface
论文作者
论文摘要
在本文中，我们研究了一个与损伤相位接近的杂交层压板的速率模型，并在两层层上以及在一维设置中统治其界面的行为的粘合法。为了进行分析，我们基于所涉及能量的全球最小化，采用了能量进化的概念。由于文献中已经出现的凝聚区的存在，紧凑性问题导致引入虚拟变量，该变量取代了物理上的变量，该变量代表了界面位移在进化过程中达到的最大开口。说明了一种新的策略，允许在一般加载下恢复虚拟变量与实际变量之间的等效性 - 解除额定体系。该论点基于能量演变的时间规律性。通过在层的弹性能量和界面凝聚力的自然凹入之间保持谨慎平衡来实现这种规律性。
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.
