A modified Stillinger-Weber potential-based hyperelastic constitutive model for nonlinear elasticity

doi:10.1016/j.ijsolstr.2014.01.003

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	A modified Stillinger-Weber potential-based hyperelastic constitutive model for nonlinear elasticity
	Zhang, Zhennan 1; Chen, Yaxiong 1; Zheng, Hong 2
刊名	INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
	2014
卷号	51 页码:1542-1554
关键词	Stillinger-Weber potential Constitutive model Continuum Fracture simulation Quasi-brittle material
ISSN号	0020-7683
DOI	10.1016/j.ijsolstr.2014.01.003
英文摘要	The Stillinger-Weber (SW) potential, which is a combination of the two- and three-body interaction, states that the bond energy is not only related to the distance between atoms, but also related to the bond angles subtended by this given bond and other bonds. The bond energy mechanism presented by the SW potential is different from that by the classical potentials, such as the Lennard-Jones, Tersoff and Embedded Atom potentials. Different micro energy mechanism reveals different micro fracture mechanism. The original SW potential takes the 'ideal' tetrahedral angle as the reference value of each bond angle in the current configuration, which makes it only applicable to the silicon materials. However, the micro fracture mechanism revealed by the SW potential should not be confined to the silicon materials. To extend the SW potential to a wider range of materials, the value of the bond angle in the reference configuration, not the 'ideal' tetrahedral angle, is taken as the reference value of this bond angle in the current configuration. Based on this modified SW potential, a constitutive model is developed. By this way, the micro fracture mechanism invoked by the SW potential is incorporated into the constitutive relation. Through this proposed constitutive model, it is found that the Hookean matrix derived from the SW potential matches that of a linear elastic continuum, which suggests that there exists a corresponding relationship between the micro physical parameters of SW potential and the macro material constants. The corresponding micro-macro parameter relationship is derived in this paper. To examine the application of this method to other materials, it is used to simulate the mixed fracture growth in concrete under static and dynamic load. The simulation results suggest that the present method can capture the characters of fracture growth in the quasi-brittle materials. It suggests that the constitutive model based on the modified SW potential can be applied to materials other than silicon. Because the interatomic potential-incorporated constitutive model makes the fracture criterion as the intrinsic property of a constitutive relation, it presents many advantages in fracture simulation. This paper enriches the constitutive relation with the micro fracture mechanism presented in SW potential, providing a new micro constitutive model for materials. Besides this, it also provides a feasible approach to calibrating the parameters of the SW potential for a certain material. (C) 2014 Elsevier Ltd. All rights reserved.
WOS研究方向	Mechanics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000333513900007
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3582]
专题	岩土力学所知识全产出_期刊论文
作者单位	1.Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn ; 2.Chinese Acad Sci, Inst Rock & Soil Mech
推荐引用方式 GB/T 7714	Zhang, Zhennan,Chen, Yaxiong,Zheng, Hong. A modified Stillinger-Weber potential-based hyperelastic constitutive model for nonlinear elasticity[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2014,51:1542-1554.
APA	Zhang, Zhennan,Chen, Yaxiong,&Zheng, Hong.(2014).A modified Stillinger-Weber potential-based hyperelastic constitutive model for nonlinear elasticity.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,51,1542-1554.
MLA	Zhang, Zhennan,et al."A modified Stillinger-Weber potential-based hyperelastic constitutive model for nonlinear elasticity".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 51(2014):1542-1554.