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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


    Extension of Ordinary State-Based Peridynamic Model for Nonlinear Analysis

    Mengnan Zhang1,*, Fucheng Tian1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.26, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.09593

    Abstract Peridynamic is a nonlocal theory that uses integral forms of governing equations, making it suitable for describing objects with discontinuous states such as cracks. After more than two decades of development, peridynamic has been effectively applied to numerous solid mechanics studies. However, in the field of ordinary state-based peridynamic modeling nonlinear deformation, a more comprehensive model that can establish a general connection with continuum mechanics and allow for the selection of different influence functions is still lacking. As a consequence, a further extension to existing models is promising, and it represents a substantial addition to… More >

  • Open Access


    Modelling of Contact Damage in Brittle Materials Based on Peridynamics

    Jingjing Zhao1,*, Guangda Lu2, Qing Zhang3, Wenchao Du4

    CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.2, pp. 519-539, 2021, DOI:10.32604/cmes.2021.017268

    Abstract As a typical brittle material, glass is widely used in construction, transportation, shipbuilding, aviation, aerospace and other industries. The unsafe factors of glass mainly come from its rupture. Thus, establishing a set of prediction models for the cracks growth of glass under dynamic load is necessary. This paper presents a contact damage model for glass based on the ordinary state-based peridynamic theory by introducing a contact force function. The Hertz contact (nonembedded contact) problem is simulated, and the elastic contact force is determined by adjusting the penalty factor. The proposed model verifies the feasibility of More >

  • Open Access


    State-Based Offloading Model for Improving Response Rate of IoT Services

    K. Sakthidasan1, Bhekisipho Twala2, S. Yuvaraj3, K. Vijayan3,*, S. Praveenkumar3, Prashant Mani4, C. Bharatiraja3

    CMC-Computers, Materials & Continua, Vol.67, No.3, pp. 3721-3735, 2021, DOI:10.32604/cmc.2021.014321

    Abstract The Internet of Things (IoT) is a heterogeneous information sharing and access platform that provides services in a pervasive manner. Task and computation offloading in the IoT helps to improve the response rate and the availability of resources. Task offloading in a service-centric IoT environment mitigates the complexity in response delivery and request processing. In this paper, the state-based task offloading method (STOM) is introduced with a view to maximize the service response rate and reduce the response time of the varying request densities. The proposed method is designed using the Markov decision-making model to… More >

  • Open Access


    A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams

    Zhenghao Yang, Erkan Oterkus*, Selda Oterkus

    CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.2, pp. 527-544, 2020, DOI:10.32604/cmes.2020.010804

    Abstract In this study, a new state-based peridynamic formulation is developed for functionally graded Euler-Bernoulli beams. The equation of motion is developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different boundary conditions are considered including pinned support-roller support, pinned support-pinned support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse and axial deformations and a very good agreement is observed for all different types of boundary conditions. More >

  • Open Access


    State-Based Control Feature Extraction for Effective Anomaly Detection in Process Industries

    Ming Wan1, Jinfang Li1, Jiangyuan Yao2, *, Rongbing Wang1, 3, Hao Luo1

    CMC-Computers, Materials & Continua, Vol.63, No.3, pp. 1415-1431, 2020, DOI:10.32604/cmc.2020.09692

    Abstract In process industries, the characteristics of industrial activities focus on the integrality and continuity of production process, which can contribute to excavating the appropriate features for industrial anomaly detection. From this perspective, this paper proposes a novel state-based control feature extraction approach, which regards the finite control operations as different states. Furthermore, the procedure of state transition can adequately express the change of successive control operations, and the statistical information between different states can be used to calculate the feature values. Additionally, OCSVM (One Class Support Vector Machine) and BPNN (BP Neural Network), which are More >

  • Open Access


    Improved State-Based Peridynamic Lattice Model Including Elasticity, Plasticity and Damage

    Siavash Nikravesh1, *, Walter Gerstle1

    CMES-Computer Modeling in Engineering & Sciences, Vol.116, No.3, pp. 323-347, 2018, DOI:10.31614/cmes.2018.04099

    Abstract In this study, a recently developed peridynamic lattice model called the “State-based Peridynamic Lattice Model” (SPLM) is improved and demonstrated. In the SPLM, rather than as a continuum, solids are simulated using a close-packed lattice of peridynamically interacting particles. The new SPLM approach advances the SPLM model by improving the damage and plasticity models. Elasticity, plasticity and damage are coupled in this approach. A robust method for damage initiation is developed. A new damage model called the “two-spring damage model” allows damage to localize to a single lattice particle, thus allowing highly localized damage… More >

  • Open Access


    Evaluation of Dynamic Stress Intensity Factors Using Varying Horizon Size in Ordinary State-Based Peridynamics

    M. Imachi, S. Tanaka*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.1, pp. 17-17, 2019, DOI:10.32604/icces.2019.05896

    Abstract The J-integral and the interaction integral method are employing for evaluating dynamics stress intensity factor, in ordinary state-based peridynamics. The governing equation of peridynamics is based on internal force that defined by particles interact each other over finite distances. The interaction each particle needs to be satisfied the newton third law. A lot of particles are required for getting high accuracy in peridynamic modeling. Therefore, it is required the efficient modeling such as local meshing in finite element modeling. However, when arrangement of particle with varying particle size and horizon sizes are locally used, the… More >

  • Open Access


    A Non-Ordinary State-Based Peridynamic Formulation for Failure of Concrete Subjected to Impacting Loads

    Liwei Wu1, Dan Huang1,*, Yepeng Xu1, Lei Wang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.118, No.3, pp. 561-581, 2019, DOI:10.31614/cmes.2019.04347

    Abstract Strain hardening and strain rate play an important role in dynamic deformation and failure problems such as high-velocity impact cases. In this paper, a non-ordinary state-based peridynamic model for failure and damage of concrete materials subjected to impacting condition is proposed, taking the advantages of both damage model and non-local peridynamic method. The Holmquist-Johnson-Cook (HJC) model describing the mechanical character and damage of concrete materials under large strain, high strain rate and high hydrostatic pressure was reformulated in the framework of non-ordinary state-based peridynamic theory, and the corresponding numerical approach was developed. The proposed model More >

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