Ying Song^1,2, Jiale Yan^1,2, Shaofan Li^2,*, Zhuang Kang¹

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 465-492, 2019, DOI:10.32604/cmes.2019.07190

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 >

Tianyi Li¹, Xin Gu¹, Qing Zhang^1,*, Dong Lei¹

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 425-444, 2019, DOI:10.32604/cmes.2019.06700

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 >

Yongwei Wang¹, Fei Han^2,*, Gilles Lubineau^1,*

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 399-423, 2019, DOI:10.32604/cmes.2019.07192

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 >

Xinfeng Wang¹, Zaixing Huang^1,*

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 385-398, 2019, DOI:10.32604/cmes.2019.06936

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 >

Huilong Ren¹, Xiaoying Zhuang^2,3,*, Timon Rabczuk¹

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 353-383, 2019, DOI:10.32604/cmes.2019.05146

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 >

Qing Zhang^{1, *}, Jianxiang Wang², Xiaoying Zhuang^{3, 4}

CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 349-351, 2019, DOI:10.32604/cmes.2019.09088

Abstract This article has no abstract. More >

Siavash Nikravesh^{1, *}, 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 (cracks) to emerge in a realistic… More >

Qingjia Chi*, Xinge Geng

The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.1, pp. 118-118, 2019, DOI:10.32604/icces.2019.05168

Abstract The binding of DNA to protein in the cellular nucleus is a common phenomenon. DNA molecules will soften at the binding region when they adhere to proteins. Softening will affect the mechanical properties significantly. However, the mechanism underlying the mechanical softening remains to be explored. To understand the changes in the mechanical properties of DNA, the peridynamics technique can effectively capture the stress of the softened DNA under tensile forces. And later the results were verified by finite element computations. Utilizing the computations of perydynamics to reveal the stretch of the double-stranded DNA. The results demonstrated DNA was easy to… More >

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 standard peridynamic equation is not… More >

Baoyin Sun^1,3, Shaofan Li³, Quan Gu^2,3,*, Jinping Ou¹

CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.3, pp. 739-757, 2019, DOI:10.32604/cmes.2019.05085

Abstract Peridynamics (PD) is a widely used theory to simulate discontinuities, but its application in real-world structural problems is somewhat limited due to the relatively low-efficiency. The numerical substructure method (NSM) presented by the authors and co-workers provides an efficient approach for modeling structures with local nonlinearities, which is usually restricted in problems of continuum mechanics. In this paper, an approach is presented to couple the PD theory with the NSM for modeling structures with local discontinuities, taking advantage of the powerful capability of the PD for discontinuities simulation and high computational efficiency of the NSM. The structure is simulated using… More >