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 >

Quan Gu¹, Lei Wang¹, Surong Huang^2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.3, pp. 471-489, 2019, DOI:10.32604/cmes.2019.05757

Abstract Peridynamics (PD) is a powerful method to simulate the discontinuous problems in civil engineering. However, it may take a lot of effort to implement the material constitutive models into PD program for solving a broad range of problems. OpenSees is an open source software which includes a versatile material library and has been widely used by researchers and engineers in civil engineering. In this context, the paper presents a simple but effective approach to integrate PD with OpenSees by using a Client-Server (CS) software integration technique, such that the existing material constitutive models in OpenSees can be directly used by… More >

Liwei Wu¹, Dan Huang^1,*, 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 and numerical approach were validated… More >

Zhanqi Cheng¹, Zhenyu Wang¹, Zhongtao Luo^2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.118, No.3, pp. 509-527, 2019, DOI:10.31614/cmes.2019.04339

Abstract In this work, a bond-based peridynamics (PD) model was built to analyze the dynamic fracture of shale material. Both the the convergence studies and the result of dynamic crack propagation were presented. As well-known, crack propagation, aggregation, and bifurcation play an critical role in the failure analysis of brittle materials such as shale. The dynamic crack propagation and branching analysis of shale by using the PD method were discussed. Firstly, the valid and accuracy of the PD model for the rock materials was verified by comparing with the existed numerical results. Secondly, we discussed the convergence both with uniform grid… More >

Walter Gerstle¹, Stewart Silling², David Read³, Vinod Tewary⁴, Richard Lehoucq⁵

CMC-Computers, Materials & Continua, Vol.8, No.2, pp. 75-92, 2008, DOI:10.3970/cmc.2008.008.075

Abstract A theoretical framework, based upon the peridynamic model, is presented for analytical and computational simulation of electromigration. The framework allows four coupled physical processes to be modeled simultaneously: mechanical deformation, heat transfer, electrical potential distribution, and vacancy diffusion. The dynamics of void and crack formation, and hillock and whisker growth can potentially be modeled. The framework can potentially be applied at several modeling scales: atomistic, crystallite, multiple crystallite, and macro. The conceptual simplicity of the model promises to permit many phenomena observed in microchips, including electromigration, thermo-mechanical crack formation, and fatigue crack formation, to be analyzed in a systematic and… More >