Open Access
EDITORIAL
Qing Zhang1, *, Jianxiang Wang2, Xiaoying Zhuang3, 4
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 349-351, 2019, DOI:10.32604/cmes.2019.09088
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract This article has no abstract. More >
Open Access
ARTICLE
Huilong Ren1, Xiaoying Zhuang2,3,*, Timon Rabczuk1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 353-383, 2019, DOI:10.32604/cmes.2019.05146
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract A dual-support smoothed particle hydrodynamics (DS-SPH) that allows variable smoothing lengths while satisfying the conservations of linear momentum, angular momentum and energy is developed. The present DS-SPH is inspired by the dual-support, a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed. Conventionally, the SPH formulation employs either the influence domain or the support domain. The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH… More >
Open Access
ARTICLE
Xinfeng Wang1, Zaixing Huang1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 385-398, 2019, DOI:10.32604/cmes.2019.06936
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract In the benchmark problems of peridynamics, there are some eccentric results, for example, singularity of uniaxial tension and anomalous dispersion of wave. The reasons to give rise to these results are investigated. We calculated local tension and wave of an infinite rod after adding a divergence of local stress in the peridynamic motion equation. The acquired results verify that the singularity in the peridynamic solution of local tension problem and anomalous dispersion of peridynamic wave are all eliminated. Therefore, the anomalous features of some peridynamic solutions likely stem from the lack of local stress characterizing contact interactions. More >
Open Access
ARTICLE
Yongwei Wang1, Fei Han2,*, Gilles Lubineau1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 399-423, 2019, DOI:10.32604/cmes.2019.07192
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract Classical continuum mechanics which leads to a local continuum model,
encounters challenges when the discontinuity appears, while peridynamics that falls into
the category of nonlocal continuum mechanics suffers from a high computational cost. A
hybrid model coupling classical continuum mechanics with peridynamics can avoid both
disadvantages. This paper describes the hybrid model and its adaptive coupling approach
which dynamically updates the coupling domains according to crack propagations for
brittle materials. Then this hybrid local/nonlocal continuum model is applied to fracture
simulation. Some numerical examples like a plate with a hole, Brazilian disk, notched
plate and beam, are performed for verification… More >
Open Access
ARTICLE
Tianyi Li1, Xin Gu1, Qing Zhang1,*, Dong Lei1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 425-444, 2019, DOI:10.32604/cmes.2019.06700
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract Digital image correlation (DIC) measurement technique and peridynamics (PD)
method have been applied in specific fields extensively owing to their respective advantages
in obtaining full-field deformation and local failure of loaded materials and structures. This
study provides a simple way to couple DIC measurements with PD simulations, which can
circumvent the difficulties of DIC in dealing with discontinuous deformations. Taking the
failure analysis of a compact tension specimen of aluminum alloy and a static three-point
bending concrete beam as examples, the DIC experimental system firstly measures the
full-field displacements, and then the PD simulation is applied on potential damage regions… More >
Open Access
ARTICLE
Zhanqi Cheng1, Dongdong Jin1, Chengfang Yuan1, Le Li1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 445-464, 2019, DOI:10.32604/cmes.2019.06374
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract In the research, the dynamic fracture failure problem of functionally graded
materials (FGMs) containing two pre-cracks was analyzed using a bond-based
Peridynamic (PD) method numerical model. The two convergence of decreasing the area
of PD horizon (δ-convergence) and uniform mesh refinement (m-convergence) were
studied. The effects of both crack position and distance between two cracks on crack
propagation pattern in FGMs plate under tensile loads are studied. Furthermore, the effects
of different gradient patterns on the dynamic propagation of cracks in FGMs are also
investigated. The simulate results suggest that the cracks positions and the distance
between them can significantly… More >
Open Access
ARTICLE
Ying Song1,2, Jiale Yan1,2, Shaofan Li2,*, Zhuang Kang1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 465-492, 2019, DOI:10.32604/cmes.2019.07190
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
Abstract In the present work, a state-based peridynamics with adaptive particle
refinement is proposed to simulate water ice crater formation due to impact loads. A
modified Drucker-Prager constitutive model was adopted to model ice and was
implemented in the state-based peridynamic equations to analyze the elastic-plastic
deformation of ice. In simulations, we use the fracture toughness failure criterion in
peridynamics to simulate the quasi-brittle failure of ice. An adaptive particle refinement
method in peridynamics was proposed to improve computational efficiency. The results
obtained using the peridynamic model were compared with the experiments in previous
literatures. It was found that the peridynamic… More >
Open Access
ARTICLE
Ali Jenabidehkordi1,2, Timon Rabczuk1,2,*
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 493-500, 2019, DOI:10.32604/cmes.2019.07942
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
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 >
Open Access
ARTICLE
Bin Jia1, Lei Ju1,*, Qing Wang1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 501-522, 2019, DOI:10.32604/cmes.2019.06798
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
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 >
Open Access
ARTICLE
Yanzhuo Xue1, Renwei Liu1, Yang Liu1,*, Lingdong Zeng1, Duanfeng Han1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 523-550, 2019, DOI:10.32604/cmes.2019.06951
（This article belongs to this Special Issue: Recent Developments on Peridynamics)
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 >
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