Abstract In this study, a state-based Peridynamic (PD) microstructure model is developed to simulate the damage initiation and propagation and plastic deformation in multi-phase materials. The dual-phase (DP) steel is utilized as a material example. A two-dimensional PD model is developed to predict the response of three representative volume elements (RVEs) under tension static loading. RVEs are extracted from Scanning electron microscopy (SEM) images by image processing. Von Mises yield criterion with hardening is used to model plastic deformation. Failure criteria are achieved by relating PD total work needed for eliminating the interactions to the critical energy release rate. A new approach is also proposed for boundary conditions and assigning interface region properties. The failure mechanisms such as martensite cracking, ferrite, and martensite interface decohesion, are captured in the analyses. It is also found that damage initiation occurs in narrow cross-section of martensite grains, ferrite/martensite interfaces, and trapped ferrite phases. The predicted deformations, stress-strain curves, and damage patterns are also compared with the available experimental results. It is shown that the achieved results are in good agreement with the experimental results.

中文翻译：

---

双相材料塑性变形的近场动力学微观力学建模和渐进式损伤预测

摘要 在本研究中，开发了一种基于状态的近场动力学 (PD) 微观结构模型来模拟多相材料中的损伤起始和扩展以及塑性变形。双相 (DP) 钢用作材料示例。开发了二维 PD 模型来预测三个代表性体积元素 (RVE) 在张力静态载荷下的响应。通过图像处理从扫描电子显微镜 (SEM) 图像中提取 RVE。带有硬化的 Von Mises 屈服准则用于模拟塑性变形。失效标准是通过将消除相互作用所需的 PD 总功与临界能量释放率相关联来实现的。还提出了一种用于边界条件和分配界面区域属性的新方法。马氏体开裂、铁素体、和马氏体界面脱聚，在分析中被捕获。还发现损伤起始发生在马氏体晶粒、铁素体/马氏体界面和俘获铁素体相的窄截面中。预测的变形、应力-应变曲线和损伤模式也与可用的实验结果进行了比较。结果表明，所得到的结果与实验结果吻合良好。