Peridynamic Modeling, Identification and Validation of Laminates Responses Beyond Damage Initiation

随着先进制造技术的发展，复合材料和层合板具有传统材料无法比拟的优点，在工程上得到了广泛的应用。虽然经典连续介质力学可以很好地预测到损伤开始的变形行为，但超过临界损伤状态的渐进破坏分析仍然是一个主要的挑战。周期动力学作为一种非局部连续介质力学理论，非常适合于分析材料破坏、裂纹萌生、裂纹扩展、裂纹形态形成和裂纹相互作用等不连续问题。基于OvGU Magdeburg研究小组(RG)最近在浮法玻璃中裂纹模式的PD建模、剥离薄膜中长程力的识别方面的活动，该项目旨在为复合材料层压结构提供新的配方，为工程师提供解决断裂问题的替代解决方案。RG将在OvGU中开发一种新的局部放电损伤本构模型框架，以统一的方式描述损伤起始、损伤扩展和裂纹扩展。在前人对浮法玻璃研究的基础上，将利用已有的实验数据来识别材料参数，捕捉缺陷的初始分布，并描述玻璃板环弯试验中的损伤模式。为了验证，将对落球试验进行模拟，并将结果与实验数据进行比较。此外，将在OvGU开发和校准非本地模型，以捕捉在剥离测试中观察到的远程力。通过使用逐层方法，将巩固发展，以形成一个新的层合板在严重载荷作用下的后临界损伤理论。基于夹层玻璃的现有实验数据，将开发和解决一个基准问题，以验证理论发展以及分析和数值求解程序。

With the development of advanced manufacturing technologies, composite materials and laminates are widely used in engineering as they are advantageous over traditional materials. While the deformation behaviour up to the damage initiation can be predicted by the classical continuum mechanics with satisfactory accuracy, analysis of progressive failure beyond the critical damage state is still a major challenge. Peridynamics (PD) as a nonlocal continuum mechanics theory is very suitable for analyzing discontinuous problems such as material failure, crack initialization, crack propagation, crack patterns formation and crack interactions. Based on the recent activities of the research group (RG) in OvGU Magdeburg on PD modeling of crack patterns in float glass, identification of long-range forces in peel films, this project aims to contribute novel formulations for composite laminate structures to offer engineers an alternative solution to tackle fracture problems. A novel PD damage constitutive modeling framework to describe damage initiation, damage growth and crack propagation in a unified manner will be developed by RG in OvGU. Based on the previous research on float glass, the available experimental data will be applied to identify material parameters, to capture initial distribution of flaws and to describe damage patterns in ring bending tests on glass plates. For the validation, ball drop tests will be simulated and results will be compared with experimental data. In addition, non-local models will be developed and calibrated in OvGU to capture long-range forces observed in peel tests. By the use of the layer-wise approach the developments will be consolidated to formulate a new PD theory for laminates subjected to severe loadings in the post-critical damage regime. Based on the available experimental data on laminated glass, a benchmark problem will be developed and solved to verify the theoretical developments as well as analytical and numerical solution procedures.