Hierarchical modeling in the mechanics of materials

International Journal of Solids and Structures

Volumn 37, Issue 1-2, 2000, Pages 379-389

  Tadmor, E B ^a   Phillips, R ^b   Ortiz, M ^c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Brown University   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL DEFECTS; CRYSTAL MICROSTRUCTURE; DISLOCATIONS (CRYSTALS); NANOTECHNOLOGY; PLASTICITY;

CRYSTAL PLASTICITY; HIERARCHICAL MODELING; MICROSTRUCTURAL EVOLUTION;

MECHANICS;

EID: 0033895299     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00095-5     Document Type: Article

References (10)

1. Bassani, J.L., 1993. Plastic flow of crystals. Adv. Appl. Mech 30, 191-258 (This article provides a comprehensive, in depth, discussion of crystal plasticity).
2. Bulatov, V., Abraham, F.F., Kubin, L., Devincre, B., Yip, S., 1998. Connecting atomistic and mesoscale simulations of crystal plasticity. Nature 391, 669-671 (This article concerns that part of the modeling hierarchy connecting dislocation dynamics to atomistic simulation).
3. Cuitiño, A.M., Ortiz, M., 1992. Computational modelling of single crystals. Modelling. Simul. Mater. Sci. Eng. 1, 225-263 (A review article discussing computationally tractable models of crystalline plasticity).
4. Devincre, L., Kubin, L.P., 1994. Simulations of forest interactions and strain hardening in fee crystals. Modelling Simul. Mater. Sci. Eng. 2, 559-570 (This paper spells out the ways in which dislocation dynamics codes may be used to examine hardening in crystals).
5. Newnham, R.E., 1997. Molecular mechanisms in smart materials. MRS Bulletin 22 (5), 20-33 (This article gives an introduction to the field of smart materials, explaining what they are, how they work and what applications they are good for).
6. Rappaz, M., Gandin, Ch.-A., 1993. Probabilistic modelling of microstructure formation in solidification processes. Acta Met. 41, 345-360 (Rappaz and Gandin address a hierarchical approach to microstructural evolution with the coupling of a finite element approach and a cellular automaton).
7. Roberts-Austen, W.C., 1888. On certain mechanical properties of metals considered in relation to the periodic law. Phil. Trans. R. Soc. Lond. A 179, 339-349 (This paper describes Roberts-Austen experiments on the effect of added impurities on the tensile strength of gold).
8. Tadmor, E.B., Ortiz, M., Phillips, R., 1996. Quasicontinuum analysis of defects in solids. Phil. Mag. A73, 1529-1563 (This paper demonstrates how atomistic simulation may be coupled with finite element interpolation to construct a mixed atomistic and continuum description of deformation in solids).
9. Vitek, V., 1994. Atomistic modeling: an overview. In: The Encyclopedia of Advanced Materials, 1st ed. Pergamon, Oxford, pp. 153-161 (An overview of atomistic modeling, describing methods for characterizing atomic response and giving examples of typical simulations).
10. Yu, E.T., Pennycook, S.J., 1997. Nanoscale characterization of materials. MRS Bulletin 22 (8), 17-62 (The entire issue is dedicated to experimental techniques at the atomic and nano-scales).