CAREER: A Hybrid Local-Nonlocal Peridynamics Framework to Model Failure Across Deformations and Strain Rates

学院早期职业发展(Career)基金支持对材料和结构中的断裂过程建模的基础研究。由于几种类型的载荷可能导致失效，这些问题跨越了广泛的耦合物理现象、变形、加载速率和长度尺度，其中物理测试通常是有限的和昂贵的。目前的计算方法提供了可行的方法，但在准确和稳健地执行所有考虑因素的故障模拟方面存在局限性。这项研究将通过开发新的算法来创新，通过结合现有计算技术提供的优势来克服这些限制。因此，这项研究将有助于研究动态断裂、复杂的三维失效模式以及损伤的形成和扩展，从而促进对这些事件背后的科学的理解。这项工作的工程应用包括减轻灾害和基础设施的恶化，以及在不同领域的进展，如添加剂制造、工具磨损和生物力学。该计划的教育部分将开发开放课程，帮助学习知识的基础知识并传播结果。学习材料和研究将与面向代表性不足的本科生和研究生的外展计划相结合，以招募、留住和培训基于模拟的分析方面的下一代工程师。模拟三维复杂骨折的有效方法一直是一个长期的挑战。为了克服这一挑战，本研究的主要目标是实现局部经典再生核无网格法和非局部周期动力学方法的统一，形成混合再生核周期动力学(RKPD)框架。这一统一旨在加强非局部方法中的几个关键特征，这些特征对于有效地数值分析各种变形和变形速率的复杂破坏问题是必要的：高精度和最佳收敛、易于集成多个物理过程、高阶精确的冲击波传播和接触力学。该框架将根据纳米二氧化硅增强环氧复合材料的实验数据进行测试和验证，该复合材料具有复杂的微结构。此外，这些计算开发将被合并到一个开放源码软件中，供科学和工程界免费使用。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This Faculty Early Career Development (CAREER) grant supports fundamental research on modeling fracture processes in materials and structures. Due to the several types of loading that can induce failure, these problems span a broad spectrum of coupled physical phenomena, deformations, loading rates, and length scales, where physical testing is often limited and costly. Current computational methods provide viable means but have their limitations in accurately and robustly performing failure simulations across all considerations. This research will innovate by developing novel algorithms that overcome these limitations by combining the advantages offered by existing computational techniques. Consequently, this research will allow investigations of dynamic fracture, complex three-dimensional failure modes, and damage initiation and propagation, thus accelerating the understanding of the science behind these events. Engineering applications of this work include mitigation of disasters and deterioration of infrastructure, and advances in diverse areas such as additive manufacturing, tool wear, and biomechanics. The educational portion of this program will develop open courses that will aid in learning the fundamentals of the knowledge and disseminating the results. The learning material and research will be integrated with an outreach program for underrepresented undergraduate and graduate students, to recruit, retain, and train the next generation of engineers in simulation-based analysis.Effective approaches for simulating three-dimensional complex fracture has been a long-standing challenge. To overcome this challenge, the main objective of this research is to achieve a unification of the local classical reproducing kernel meshfree method and the nonlocal peridynamics method, to form the hybrid reproducing kernel peridynamics (RKPD) framework. This unification is intended to enhance several critical features in the non-local approach, necessary for effective numerical analysis of complex failure problems across a wide range of deformations and deformation rates: high accuracy and optimal convergence, ease of integration of multiple physical processes, high-order accurate shock wave propagation, and contact mechanics. The framework will be tested and validated against data obtained from experiments on a nanosilica reinforced epoxy composite, possessing a complex microstructure. Moreover, these computational developments will be incorporated into an open-source software that will be freely available to the science and engineering communities.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.