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

随着先进制造技术的发展，复合材料和层合板以其传统材料所不能比拟的优越性在工程中得到了广泛的应用。虽然经典连续介质力学能够以令人满意的精度预测损伤开始之前的变形行为，但是分析超过临界损伤状态的渐进失效仍然是一个重大挑战。作为一种非局部连续介质力学理论，周波理论非常适合于分析材料破坏、裂纹初始化、裂纹扩展、裂纹图案形成和裂纹相互作用等非连续问题。基于OvGU马格德堡研究小组（RG）最近在浮法玻璃裂纹模式的PD建模、剥离膜中长程力的识别方面的活动，该项目旨在为复合材料层合结构提供新的配方，为工程师提供解决断裂问题的替代方案。RG将在OvGU中开发一种新的PD损伤本构模型框架，以统一的方式描述损伤萌生、损伤扩展和裂纹扩展。在前人研究的基础上，利用已有的实验数据，对浮法玻璃的材料参数进行识别，获取玻璃板环弯试验中缺陷的初始分布，并描述玻璃板环弯试验的损伤模式。对于确认，将模拟落球试验，并将结果与实验数据进行比较。此外，将在OvGU中开发和校准非局部模型，以捕获剥离试验中观察到的长程力。通过使用逐层的方法的发展将得到巩固，制定一个新的PD理论的层压板受到严重的负载在后临界损伤制度。基于现有的夹层玻璃的实验数据，将开发和解决一个基准问题，以验证理论的发展，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.