journal article·2003-01

Multi-scale modeling strategies in materials science—The quasicontinuum method

Vijay B. Shenoy

Bulletin of Materials Science· Volume 26· Issue 1
Publisher page

Abstract

The problem of prediction of finite temperature properties of materials poses great computational challenges. The computational treatment of the multitude of length and time scales involved in determining macroscopic properties has been attempted by several workers with varying degrees of success. This paper will review the recently developed quasicontinuum method which is an attempt to bridge the length scales in a single seamless model with the aid of the finite element method. Attempts to generalize this method to finite temperatures will be outlined.
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Research context

OpenAlex topics: Microstructure and mechanical properties · Composite Material Mechanics · Force Microscopy Techniques and Applications

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References (14)

Show source-provided references
1. Abraham F F, Dchneider D, Land B, Lifka D, Sovira J, Gerner J and Rosenkrantz M 1997J. Mech. & Phys. Solids 45 146110.1016/S0022-5096(97)00017-3 ↗
2. Belytschko T and Smolinski P 1985Comput. Meth. Appl. Mech. & Eng. 49 28110.1016/0045-7825(85)90126-4 ↗
3. Belytschko T and Lu Y Y 1993Comput. Meth. Appl. Mech. & Eng. 108 35310.1016/0045-7825(93)90010-U ↗
4. Belytschko T, Yen H-J and Mullen R 1979Comput. Meth. Appl. Mech. & Eng. 17/18 25910.1016/0045-7825(79)90022-7 ↗
5. Ercolessi F and Adams J 1993Europhys. Lett. 26 58310.1209/0295-5075/26/8/005 ↗
6. Goldstein H 1980Classical mechanics (Reading, Mass: Addison-Wesley)
7. Hughes T J R 1987The finite element method (Englewood Cliffs, New Jersey: Prentice-Hall)
8. King A H and Smith D A 1980Acta Crystallogr. A36 33510.1107/S0567739480000782 ↗
9. Shen Z, Wagoner R H and Clark WAT 1988Acta Metall. 36 323110.1016/0001-6160(88)90058-2 ↗
10. Shenoy V B 1998Quasicontinuum models of atomic-scalemechanics, Ph D thesis, Brown University, Providence, RI, USA
11. Shenoy V B, Miller R M, Tadmor E B, Phillips R and Ortiz M 1998Phys. Rev. Lett. 80 74210.1103/PhysRevLett.80.742 ↗
12. Shenoy V B, Miller R M, Tadmor E B, Rodney D, Phillips R and Ortiz M 1999J. Mech. & Phys. Solids 47 61110.1016/S0022-5096(98)00051-9 ↗
13. Tadmor E B 1996The quasicontinuum method, Ph D thesis, Brown University, Providence, RI, USA
14. Tadmor E B, Ortiz N and Phillips R 1996Philos. Mag. A73 1529