A novel damage model in the peridynamics-based cohesive zone method (PD-CZM) for mixed mode fracture with its implicit implementation

Yang, Dong; He, Xiaoqiao; Zhu, Jiaqi; Bie, Zhiwu

doi:10.1016/j.cma.2021.113721

Cited by 27 publications

(2 citation statements)

References 62 publications

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“…This condition is quite distinct from the macroscopic mechanical response such as strain. As yet, precise prediction of brittle catastrophic failure is still an active challenge issue [15]. So, the research on the catastrophic failure path prediction strategy of brittle-like materials have a great significance in both academics and engineering for structural safety.…”

Section: Introductionmentioning

confidence: 99%

Physical cellular automata and artificial fish swarm fusion catastrophic failure prediction of brittle-like materials

Sun,

Guo

2024

Preprint

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The investigation aims to establish a physics-informed data-driven method for catastrophic failure analysis of brittle-like materials based on the strategy of the physical cellular automata and artificial fish swarm fusion prediction. Based on the method, local mesoscopic elasticity modulus and damage distribution of brittle-like materials can be predicted based on the monitored data of the global macroscopic mechanical response. In the data-driven prediction process based on the simplification of the artificial fish swarm algorithm, physical catastrophic failure mechanisms can be considered by utilizing a modified cellular automata technique for updating and iterating damage distribution based on the principle of energy conservation and energy dissipation. Two numerical cases are implemented to support the developed method. The results support that the method possesses a good convergence and a high prediction accuracy. The maximum prediction error of the macroscopic stress-strain relationship of the two numerical cases is 9.6% based on the optimal mesoscopic elasticity modulus prediction. Meanwhile, the predicted local mesoscopic catastrophic failure paths of the two numerical cases both match well with the corresponding experimental results. The developed physics-informed data-driven method can provide an efficient tool to predict both macroscopic and mesoscopic failure particularities of brittle-like materials for better investigating their catastrophic failure mechanisms.

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Section: Introductionmentioning

confidence: 99%

Physical cellular automata and artificial fish swarm fusion catastrophic failure prediction of brittle-like materials

Sun,

Guo

2024

Preprint

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“…The cohesive zone peridynamics has been studied by several authors, e.g. [12,13,14], however, the focus of the present work is not on cohesive zone peridynamics, but a general bond-based peridynamics that utilizes the mesoscale cohesive potential to model a nonlocal continuum. From this perspective, we are developing a novel nonlocal continuum mechanics modeling.…”

Section: Introductionmentioning

confidence: 99%

On Nonlocal Cohesive Continuum Mechanics and Cohesive Peridynamic Modeling (CPDM) of Inelastic Fracture

Han,

Li,

et al. 2022

Preprint

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In this work, we developed a bond-based cohesive peridynamics model (CPDM) and apply it to simulate inelastic fracture by using the meso-scale Xu-Needleman cohesive potential [1]. By doing so, we have successfully developed a bond-based cohesive continuum mechanics model with intrinsic stress/strain measures as well as consistent and built-in macro-scale constitutive relations. The main novelties of this work are:(1) We have shown that the cohesive stress of the proposed nonlocal cohesive continuum mechanics model is exactly the same as the nonlocal peridynamic stress;(2) For the first time, we have applied an irreversible built-in cohesive stress-strain relation in a bond-based cohesive peridynamics to model inelastic material behaviors without prescribing phenomenological plasticity stress-strain relations;(3) The cohesive bond force possesses both axial and tangential components, and they contribute a nonlinear constitutive relation with variable Poisson's ratios; (4) The bond-based cohesive constitutive model is consistent with the cohesive fracture criterion, and (5) We have shown that the proposed method is able to model inelastic fracture and simulate ductile fracture of small scale yielding in the nonlocal cohesive continua.Several numerical examples have been presented to be compared with the finite element based continuum cohesive zone model, which shows that the proposed approach is a simple, efficient and effective method to model inelastic fracture in the nonlocal cohesive media.

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A computational approach to integrate three-dimensional peridynamics and two-dimensional higher-order classical elasticity theory for fracture analysis

Zhang,

Enea,

Pagani

et al. 2024

Engineering with Computers

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As a nonlocal alternative of classical continuum theory, peridynamics (PD) is mathematically compatible to discontinuities, making it particularly attractive for failure prediction. The PD theory on the other side can be computationally demanding due to its nonlocal interactions. A coupling between PD and refined higher-order finite element method (FEM) integrates their salient features. The present study proposes a computational approach to couple three-dimensional peridynamics with two-dimensional higher-order finite elements based on classical elasticity. The bond-based PD modeling is considered in a region where damage might appear while refined finite element modeling is used for the remaining region. The refined finite elements employed in this study are based on the 2D Carrera Unified Formulation (CUF), which provides 3D-like accuracy with optimized computational efficiency. The coupling between PD and FEM is achieved through the Lagrange multiplier method which permits physical consistency and compatibility at the interface domain. An adaptive convergence check algorithm is also proposed to achieve predetermined accuracy in the solution with minimum computational effort. Simulations of quasi-static tension tests, wedge splitting tests and L-plate cracking tests are carried out for verification. In-depth analysis shows that the present approach can reproduce the linear deformation, material degradation and crack propagation in an effective way.

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A novel damage model in the peridynamics-based cohesive zone method (PD-CZM) for mixed mode fracture with its implicit implementation

Cited by 27 publications

References 62 publications

Physical cellular automata and artificial fish swarm fusion catastrophic failure prediction of brittle-like materials

Physical cellular automata and artificial fish swarm fusion catastrophic failure prediction of brittle-like materials

On Nonlocal Cohesive Continuum Mechanics and Cohesive Peridynamic Modeling (CPDM) of Inelastic Fracture

A computational approach to integrate three-dimensional peridynamics and two-dimensional higher-order classical elasticity theory for fracture analysis

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