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  • Open Access


    The Boundary Element Method for Ordinary State-Based Peridynamics

    Xue Liang1,2, Linjuan Wang3,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 2807-2834, 2024, DOI:10.32604/cmes.2024.046770

    Abstract The peridynamics (PD), as a promising nonlocal continuum mechanics theory, shines in solving discontinuous problems. Up to now, various numerical methods, such as the peridynamic mesh-free particle method (PD-MPM), peridynamic finite element method (PD-FEM), and peridynamic boundary element method (PD-BEM), have been proposed. PD-BEM, in particular, outperforms other methods by eliminating spurious boundary softening, efficiently handling infinite problems, and ensuring high computational accuracy. However, the existing PD-BEM is constructed exclusively for bond-based peridynamics (BBPD) with fixed Poisson’s ratio, limiting its applicability to crack propagation problems and scenarios involving infinite or semi-infinite problems. In this paper,… More >

  • Open Access


    Sub-Homogeneous Peridynamic Model for Fracture and Failure Analysis of Roadway Surrounding Rock

    Shijun Zhao1, Qing Zhang2, Yusong Miao1, Weizhao Zhang3, Xinbo Zhao1, Wei Xu1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 3167-3187, 2024, DOI:10.32604/cmes.2023.045015

    Abstract The surrounding rock of roadways exhibits intricate characteristics of discontinuity and heterogeneity. To address these complexities, this study employs non-local Peridynamics (PD) theory and reconstructs the kernel function to represent accurately the spatial decline of long-range force. Additionally, modifications to the traditional bond-based PD model are made. By considering the micro-structure of coal-rock materials within a uniform discrete model, heterogeneity characterized by bond random pre-breaking is introduced. This approach facilitates the proposal of a novel model capable of handling the random distribution characteristics of material heterogeneity, rendering the PD model suitable for analyzing the deformation… More >

  • Open Access


    An Efficient Peridynamics Based Statistical Multiscale Method for Fracture in Composite Structure with Randomly Distributed Particles

    Zihao Yang1, Shaoqi Zheng1, Fei Han2,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09250

    Abstract This paper proposes a peridynamics-based statistical multiscale (PSM) framework to simulate the macroscopic structure fracture with high efficiency. The heterogeneities of composites, including the shape, spatial distribution and volume fraction of particles, are characterized within the representative volume elements (RVEs), and their impact on structure failure are extracted as two types of peridynamic parameters, namely, statistical critical stretch and equivalent micromodulus. At the microscale level, a bondbased peridynamic (BPD) model with energy-based micromodulus correction technique is introduced to simulate the fracture in RVEs, and then the computational model of statistical critical stretch is established through… More >

  • Open Access


    A Modified Rate-Dependent Peridynamic Model with Rotation Effect for Dynamic Mechanical Behavior of Ceramic Materials

    Yaxun Liu1,2, Lisheng Liu1,2,*, Hai Mei1,2, Qiwen Liu1,2, Xin Lai1,2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09007

    Abstract As a mathematical expression of the dynamic mechanical behavior, the constitutive model plays an indispensable role in numerical simulations of ceramic materials. The current bond-based peridynamic constitutive models can accurately describe the dynamic mechanical behavior of partial ceramic materials under impact loading, however, the predicted value of the Poisson’s ratio is 0.25, which is not true for most of the known ceramic materials. Herein, based on the existing bond-based peridynamic constitutive model, the current study utilizes the description of tangential bond force and considers the influence of bond force on rotation to accurately predict the… More >

  • Open Access


    Chemo-Mechanical Peridynamic Simulation of Dynamic Fracture-Pattern Formation in Lithium-Ion Batteries

    Xiaofei Wang1, Qi Tong1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09181

    Abstract Mechanical failure due to lithium-ion diffusion is one of the main obstacles to fulfill the potential of the electrode materials. Various fracture patterns in different electrode structures are observed in practice, which may have a profound impact on the performance and the service life of electrodes during operation. However, the mechanisms are largely unclear and still lack systematic understanding. Here we propose a coupled chemo-mechanical model based on peridynamics [1] and use it to study the dynamic fracturepattern formation in electrode materials and solid electrolytes during lithiation/delithiation cycles. We found in hollow core-shell nanowires that More >

  • Open Access


    Study on Peridynamics Simulation Method of Anti-Penetration of Ceramic/Metal Composite Structures

    Haoran Zhang1, Lisheng Liu2,*, Qiwen Liu2, Xin Lai2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.09493

    Abstract Ceramic metal composite structure with high hardness, high bending strength of ceramic materials as the front layer and materials with high tensile strength, high elongation as the backing layer, has excellent penetration resistance. The current numerical methods for studying the penetration resistance of ceramic/metal composite structures under ballistic impact still have many deficiencies. Peridynamics (PD) is a novel nonlocal theory that is well suited for simulations involving damage and fracture behavior. At present, the existing rate-dependent bond-based PD (BB-PD) constitutive model considering the rotation effect and the Johnson-Cook (JC) metal model based on non-ordinary state-based… More >

  • Open Access


    Peridynamic Analysis on Failure of Cantilever Beam Subjected to a Concentrated Force and Uniform Distributed Traction

    Zeyuan Zhou1, Ming Yu1, Zaixing Huang1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09135

    Abstract Peridynamics (PD) is a reformulation of the classical continuum mechanics. Its core consists in that a weighted integral of relative displacement over a spatial domain is used instead of the spatial derivative of displacement in governing equations of deformation. Based on an improved technique of exerting traction on boundary surface, an improved peridynamic motion equation has been proposed within the framework of the peridynamic(PD) theory. It is more natural and easier to deal with boundary conditions for the elastic deformation and fracture analysis. Under the enhancement effect in the constructed transfer functions of boundary traction,… More >

  • Open Access


    A Cosserat Bond-Based Correspondence Model

    Zhuang Chen1, Xihua Chu1,*, Diansen Yang1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09057

    Abstract In this study, we develop a Cosserat bond-based correspondence model(Cosserat BBCM) based on the bondbased correspondence model (BBCM)[1]. BBCM is a generalized bond-based peridynamic model, where the peridynamic pair-wise force (PD force) is calculated by classical constitutive equations through the relation between PD force and stress. In our previous study, we develop the Cosserat peridynamic model (CPM) to investigate the microstructure-related crack growth behavior [2, 3]. But the interactions between material particles are represented by PD forces and moments instead of the stress and couple stress. Due to this divergence, the Cosserat constitutive model such More >

  • Open Access


    A Coupled Hygro-Thermo-Mechanical Bond-Based Cosserat Peridynamic Porous Media Model for Heated Fracture of Concrete

    Jiaming Zhang1, Xihua Chu1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-2, 2023, DOI:10.32604/icces.2023.09055

    Abstract This paper presents a fully coupled hygro-thermo-mechanical bond-based Cosserat peridynamic porous media model for concrete at high temperature [1-3]. The model enables the problem of Poisson's ratio limitation to be relieved and the effect of cement particle size and its independent micro-rotation to be taken into account [4]. A multi-rate explicit integration strategy is proposed, which allows this complex multi-field fully coupled governing equation to be well solved. Numerical simulations mainly focus on the terms of temperature, water vapour pressure and damage level to verify the validity of the model [5-9]. And they additionally demonstrate More >

  • Open Access


    A Peridynamics-Based Finite Element Method (PeriFEM) and Its Implementation in Commercial FEM Software for Brittle Fractures

    Fei Han1,*, Zhibin Li1, Jianyu Zhang1, Zhiying Liu1, Chen Yao1, Wenping Han1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09023

    Abstract The classical finite element method has been successfully applied to many engineering problems but not to cases with space discontinuity. A peridynamics-based finite element method (PeriFEM) is presented according to the principle of minimum potential energy, which enables discontinuity. First, the integral domain of peridynamics is reconstructed, and a new type of element called peridynamic element (PE) is defined. Although PEs are generated by the continuous elements (CEs) of classical FEM, they do not affect each other. Then, spatial discretization is performed based on PEs and CEs, and the linear equations about nodal displacement are… More >

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