Modeling via peridynamics for damage and failure of hyperelastic composites

IF 6.9 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Computer Methods in Applied Mechanics and Engineering Pub Date : 2024-11-04 DOI:10.1016/j.cma.2024.117494
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Abstract

Modeling damage and failure behaviors of hyperelastic composites under large deformations is pivotal for advancing the design of cutting-edge elastomers used in biomedical engineering and soft robotics. However, existing methods struggle with capturing the non-linearities and singularities in the displacement field under such conditions. To address these difficulties, we propose a novel bond-based peridynamics (PD) framework with multiple advancements. First, we develop a PD bond strain model grounded in the nonlinear Piola-Kirchhoff stress-stretch relationship, precisely capturing hyperelasticity and ensuring full compliance with thermodynamic laws and kinematics in large deformation scenarios. Second, our framework employs a particle discretization technique that not only sidesteps the mesh distortion issues commonly encountered in grid-based methods subjected to large deformation but also significantly lowers the computational complexity due to the ease of numerical implementation of random inclusion distributions. Third, we propose, for the first time, a refined 3D hyperelastic model within the PD framework that enables a more comprehensive and accurate prediction of material responses to external loads, surpassing the limitations of conventional 2D simulations. Validation against experimental data demonstrates that our model accurately captures key physical phenomena in hyperelastic composites, such as spontaneous crack initiation and propagation, interface debonding, crack coalescence, and the formation of non-smooth crack surfaces. Crucially, this framework is versatile and adaptable to a wide range of engineered composite systems with different inclusions and matrices, making it a powerful tool for predicting and analyzing large deformation behaviors in various advanced applications.
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通过周动力学为超弹性复合材料的损伤和失效建模
建立超弹性复合材料在大变形条件下的损伤和失效行为模型,对于推动生物医学工程和软机器人技术中使用的尖端弹性体的设计至关重要。然而,现有方法很难捕捉到这种条件下位移场的非线性和奇异性。为了解决这些难题,我们提出了一种基于粘接的周动力学(PD)新框架,并取得了多项进展。首先,我们在非线性皮奥拉-基尔霍夫应力-拉伸关系的基础上开发了一个 PD 键应变模型,精确捕捉了超弹性,并确保在大变形情况下完全符合热力学定律和运动学。其次,我们的框架采用了粒子离散化技术,不仅避免了基于网格的方法在大变形情况下通常会遇到的网格畸变问题,而且由于易于数值实现随机包含分布,大大降低了计算复杂性。第三,我们首次在 PD 框架内提出了一个精炼的三维超弹性模型,能够更全面、更准确地预测材料对外部载荷的响应,超越了传统二维模拟的局限性。根据实验数据进行的验证表明,我们的模型能准确捕捉到超弹性复合材料中的关键物理现象,如自发裂纹萌生和扩展、界面脱粘、裂纹凝聚以及非光滑裂纹表面的形成。最重要的是,该框架用途广泛,可适用于具有不同夹杂物和基质的各种工程复合材料系统,是预测和分析各种先进应用中大变形行为的有力工具。
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来源期刊
CiteScore
12.70
自引率
15.30%
发文量
719
审稿时长
44 days
期刊介绍: Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.
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Peridynamic modelling of time-dependent behaviour and creep damage in hyper-viscoelastic solids with pre-cracks Modeling pulmonary perfusion and gas exchange in alveolar microstructures Data-driven projection pursuit adaptation of polynomial chaos expansions for dependent high-dimensional parameters A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods Modeling via peridynamics for damage and failure of hyperelastic composites
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