Continuum theory and methods for coarse-grained, mesoscopic plasticity

Scripta Materialia

Volumn 54, Issue 5, 2006, Pages 705-710

  Acharya, Amit ^a   Roy, Anish ^a   Sawant, Aarti ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Bauschinger effect; Dislocations; Finite element analysis; Internal stress; Plasticity

Indexed keywords

APPROXIMATION THEORY; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; MESOPOROUS MATERIALS; METHOD OF MOMENTS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

BAUSCHINGER EFFECT; COARSE-GRAINED DISLOCATION; DISLOCATIONS; INTERNAL STRESS;

PLASTICITY;

EID: 29844450754     PISSN: 13596462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.scriptamat.2005.10.070     Document Type: Article

References (19)

1. L. Tartar N. Antonic Multiscale problems in science and technology 2002 Springer New York, NY 42
2. Evans LC. Weak convergence methods for nonlinear partial differential equations. American Mathematical Society, CBMS Number 74, 1988.
3. R.G. Muncaster Arch Rational Mech Anal 84 1983 353
4. C. Truesdell, and R.G. Muncaster Fundamentals of Maxwell's kinetic theory of a simple monatomic gas 1980 Academic Press New York, NY
5. A. Acharya J Mech Phys Solids 49 2001 761
6. A. Acharya Proc Roy Soc, A 459 2003 1343
7. A. Acharya J Mech Phys Solids 52 2004 301
8. A. Roy, and A. Acharya J Mech Phys Solids 53 2005 143
9. M. Babic Int J Eng Sci 35 1997 523
10. Acharya A, Roy A. Available from: http://arxiv.org/abs/cond-mat/0510020, submitted for publication.
11. Roy A, Acharya A. Available from: http://arxiv.org/abs/cond-mat/0510118, submitted for publication.
12. R.J. DiPerna Arch Rational Mech Anal 88 1985 223
13. A. Acharya Comp Meth Appl Mech Eng 194 2005 3067
14. Sawant A, Acharya A. Available from: http://arxiv.org/abs/math-ph/ 0412022, submitted for publication.
15. Acharya A, Sawant A. Available from: http://www.arxiv.org/abs/math.NA/ 0508627, submitted for publication.
16. C. Foias, G.R. Sell, and R. Temam J Diff Eq 73 1988 309
17. R. Abeyaratne, C. Chu, and R.D. James Philos Mag A 73 1996 457
18. E.N. Lorenz J Atmos Sci 20 1963 130
19. V.L. Berdichevsky Thermodynamics of chaos and order 1997 Longman