Bibliography

1

D. Owen, Structured deformations and the refinements of balance laws induced by microslip, Int. J. Plasticity 14, 289-299, 1998.

2

R. Choksi and I. Fonseca, Bulk and interfacial energy densitites for structured deformations of continua, Arch. Rational Mech. Analysis 138, 37-103 (1997).

3

R. Choksi, G. Del Piero, I. Fonseca, and D. Owen, Structured deformations as energy minimizers in some models of fracture and hysteresis, Math. Mech. Solids (forthcoming).

4

K. Havner, Finite Plastic Deformation of Crystalline Solids, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, Cambridge, New York, 1992.

5

M. Lucchesi, D. Owen, and P. Podio-Guidugli, Materials with elastic range: a theory with a view toward applications. Part III: Approximate constitutive relations, Arch. Rational. Mech. Anal. 117, 53-96 (1992).

6

E. H. Lee and D. T. Liu, Finite strain elastic-plastic theory with application to plane-wave analysis, J. Appl. Physics 38, 19-27 (1967).

7

R. Clifton, On the equivalence of F_eF_p and $\bar{F}_p% \bar{F}_e$, J. Appl. Mech. 39, 287-289, 1972.

8

D. Owen, Refined Coninuum Models of Plasticity and Related Phenomena, in Plasticity, 1999; Proceedings of the Seventh International Symposium on Plasticity and its Current Applications, edited by Akhtar Khan, Neat Press, Fulton, MD, 1998.

9

C. Davini and G. Parry, On defect-preserving deformations in crystals, Int. J. Plasticity 5, 337, 1989.

10

D. Owen, ``Structured Deformations and Geometrical Constraints at the Microlevel'', abstract of a lecture presented at the Fifth Meeting on Unilateral Problems in Structural Analysis, Ferrara, Italy, June 12-14, 1997.

Further Acknowledgments: The authors are indebted to the Center for Nonlinear Analysis and to the National Science Foundation (DMS 9703863), for support during the final stages of this report, and to Ferna Hartman for her assistance in preparation of the figures and final formats.