Adaptive Mesh Refinement with Elastic Stiffness Coefficients in the Quasicontinuum Model

Journal of Computational Science and Technology

Tomotsugu SHIMOKAWA¹  Toshiyasu KINARI¹  Sukenori SHINTAKU¹ 

[1] School of Mechanical Engineering, College of Science and Engineering, Kanazawa University

关键词: Quasicontinuum;    Adaptive Mesh Refinement;    Computational Mechanics;    Molecular Dynamics;    Nanoindentation;    Elasticity;    Finite Deformation Theory;    Elastic Stiffness Coefficient;   

DOI  :  10.1299/jcst.3.408

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(12)Cited-By(2)Adaptivemesh refinement and local/non-local transition in our quasicontinuum method (Phys. Rev. B, Vol. 69, No. 21(2004), pp.214104(1-10)) are studied in this paper. Although deformation gradients have been used to determine the mechanical state of an element in the original quasicontinuum method, we adopt elastic stiffness coefficients, which govern stress-strain relationships at finite deformation. Because elastic stiffness coefficients are calculated using the interatomic potential function, we do not need to prepare reference node (atomic) positions. To confirm its applicability, we performed nano-indentation simulations in two dimensions, and found that the criterion values estimated using deformation gradients and elastic stiffness coefficients show a positive correlation.

【 授权许可】

Unknown