Guojun Zheng^1,2, Zhaomin Yan¹, Yang Xia^1,2, Ping Hu^1,2, Guozhe Shen^1,2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 1975-1995, 2023, DOI:10.32604/cmes.2022.021415

Abstract Peridynamics (PD) is a non-local mechanics theory that overcomes the limitations of classical continuum mechanics (CCM) in predicting the initiation and propagation of cracks. However, the calculation efficiency of PD models is generally lower than that of the traditional finite element method (FEM). Structural idealization can greatly improve the calculation efficiency of PD models for complex structures. This study presents a PD shell model based on the micro-beam bond via the homogenization assumption. First, the deformations of each endpoint of the micro-beam bond are calculated through the interpolation method. Second, the micro-potential energy of the axial, torsional, and bending deformations… More >

Hui Li^*, Liping Zhang, Yixiong Zhang, Xiaolong Fu, Xuejiao Shao, Juan Du

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 1997-2019, 2023, DOI:10.32604/cmes.2022.020792

Abstract In this paper, the evaluations of metal ablation processes under high temperature, i.e., the Al plate ablated by a laser and a heat carrier and the reactor pressure vessel ablated by a core melt, are studied by a novel peridynamic method. Above all, the peridynamic formulation for the heat conduction problem is obtained by Taylor’s expansion technique. Then, a simple and efficient moving boundary model in the peridynamic framework is proposed to handle the variable geometries, in which the ablated states of material points are described by an additional scalar field. Next, due to the automatic non-interpenetration properties of peridynamic… More > Graphic Abstract

Runze Song¹, Fei Han^1,*, Yong Mei^2,*, Yunhou Sun², Ao Zhang²

CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.2, pp. 389-412, 2022, DOI:10.32604/cmes.2022.021127

Abstract This paper proposes a hybrid peridynamic and classical continuum mechanical model for the high-temperature damage and fracture analysis of concrete structures. In this model, we introduce the thermal expansion into peridynamics and then couple it with the thermoelasticity based on the Morphing method. In addition, a thermomechanical constitutive model of peridynamic bond is presented inspired by the classic Mazars model for the quasi-brittle damage evolution of concrete structures under high-temperature conditions. The validity and effectiveness of the proposed model are verified through two-dimensional numerical examples, in which the influence of temperature on the damage behavior of concrete structures is investigated.… More >

Jingjing Zhao^1,*, 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 penalty-based method to simulate the… More >

Zhuang Chen¹, Xihua Chu^1,2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.1, pp. 241-272, 2021, DOI:10.32604/cmes.2021.015120

Abstract In this study, a peridynamic fiber-reinforced concrete model is developed based on the bond-based peridynamic model with rotation effect (BBPDR). The fibers are modelled by a semi-discrete method and distributed with random locations and angles in the concrete specimen, since the fiber content is low, and its scale is smaller than the concrete matrix. The interactions between fibers and concrete matrix are investigated by the improvement of the bond’s strength and stiffness. Also, the frictional effect between the fibers and the concrete matrix is considered, which is divided into static friction and slip friction. To validate the proposed model, several… More >

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 >

Bufan Chu^1,2, Qiwen Liu^1,2, Lisheng Liu^1,2,3,*, Xin Lai^1,2, Hai Mei^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.1, pp. 151-178, 2020, DOI:10.32604/cmes.2020.010115

Abstract In this study, a new bond-based peridynamic model is proposed to describe the dynamic properties of ceramics under impact loading. Ceramic materials show pseudo-plastic behavior under certain compressive loadings with high strain-rate, while the characteristic brittleness of the material dominates when it is subjected to tensile loading. In this model, brittle response under tension, softening plasticity under compression and strain-rate effect of ceramics are considered, which makes it possible to accurately capture the overall dynamic process of ceramics. This enables the investigation of the fracture mechanism for ceramic materials, during ballistic impact, in more detail. Furthermore, a bond-force updating algorithm… More >

Yanzhuo Xue¹, Renwei Liu¹, Yang Liu^1,*, Lingdong Zeng¹, Duanfeng Han¹

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 523-550, 2019, DOI:10.32604/cmes.2019.06951

Abstract In this study, a numerical method was developed based on peridynamics to determine the ice loads for a ship navigating in level ice. Convergence analysis of threedimensional ice specimen with tensile and compression loading are carried out first. The effects of ice thickness, sailing speed, and ice properties on the mean ice loads were also investigated. It is observed that the ice fragments resulting from the icebreaking process will interact with one another as well as with the water and ship hull. The ice fragments may rotate, collide, or slide along the ship hull, and these ice fragments will eventually… More >

Bin Jia¹, Lei Ju^1,*, Qing Wang¹

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 501-522, 2019, DOI:10.32604/cmes.2019.06798

Abstract In the ice-covered oceanic region, the collision between sea ice and offshore structures will occur, causing the crushing failure of ice and the vibration of structures. The vibration can result in fatigue damage of structure and even endanger the crews’ health. It is no doubt that this ice-structure interaction has been noted with great interest by the academic community for a long time and numerous studies have been done through theoretical analysis, experimental statistics and numerical simulation. In this paper, the bond-based Peridynamics method is applied to simulate the interaction between sea ice and wide vertical structures, where sea ice… More >

Ali Jenabidehkordi^1,2, Timon Rabczuk^1,2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 493-500, 2019, DOI:10.32604/cmes.2019.07942

Abstract We present a novel refinement approach in peridynamics (PD). The proposed approach takes advantage of the PD flexibility in choosing the shape of the horizon by introducing multiple domains (with no intersections) to the nodes of the refinement zone. We will show that no ghost forces are needed when changing the horizon sizes in both subdomains. The approach is applied to both bond-based and state-based peridynamics and verified for a simple wave propagation refinement problem illustrating the efficiency of the method. More >