Adaptive phase-field total Lagrangian material point method for evaluating dynamic fracture of soft material

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-07-03 DOI:10.1007/s00366-024-02019-6
Yonggang Zheng, Shun Zhang, Weilong Yang, Zijian Zhang, Hongfei Ye, Hongwu Zhang
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Abstract

An adaptive phase-field total Lagrangian material point method (APTLMPM) is proposed in this paper for effectively simulating the dynamic fracture of two-dimensional soft materials with finite deformation. In this method, the governing equations for the fracture of soft materials are derived by integrating the phase-field fracture model with the total Lagrangian material point method (TLMPM), and corresponding discrete equations are then formulated with explicit time integration. To address the significant computational issue in terms of memory and processing time, an adaptive technique for dynamically splitting particles and background grids in the phase-field TLMPM is proposed, based on the phase-field values of the particles. To further maintain continuity of the physical field throughout the computational process and consider the characteristics of the field update, an information remapping strategy is developed. Several representative numerical examples are presented to demonstrate the accuracy and efficiency of the proposed APTLMPM by comparing the simulation results with experimental data and those as obtained with other numerical methods.

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用于评估软材料动态断裂的自适应相场总拉格朗日材料点法
本文提出了一种自适应相场全拉格朗日材料点法(APTLMPM),用于有效模拟具有有限变形的二维软材料的动态断裂。在该方法中,通过将相场断裂模型与总拉格朗日材料点法(TLMPM)进行积分,推导出软材料断裂的控制方程,然后通过显式时间积分来制定相应的离散方程。为了解决内存和处理时间方面的重大计算问题,提出了一种基于粒子相场值的自适应技术,用于动态分割相场 TLMPM 中的粒子和背景网格。为了在整个计算过程中进一步保持物理场的连续性,并考虑到场更新的特点,还开发了一种信息重映射策略。通过将模拟结果与实验数据和其他数值方法得出的结果进行比较,介绍了几个具有代表性的数值示例,以证明所提出的 APTLMPM 的准确性和效率。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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