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References
Capriz, G., Continua with Microstructure, Springer, 1989.
Cartan, H., Calcul Différentiel, Hermann, 1967.
Clifton, R., On the equivalence of F e F p and ¯F p¯F e, J. Appl. Mech. 39, 287–289, 1972.
Davini, C., & G. P. Parry, On defect-preserving deformations in crystals, Int. J. Plasticity 5, 337–369, 1989.
Davini, C., & G. P. Parry, A complete list of invariants for defective crystals, Proc. R. Soc. Lond. A 432, 341–365, 1991.
Fonseca, I., & G. P. Parry, Equilibrium Configurations of defective crystals, Arch. Rational Mech. Anal. 120, 245–283, 1992.
Gurtin, M. E., An Introduction to Continuum Mechanics, Academic Press, 1981.
Kröner, E., Kontinuumstheorie der Versetzungen und Eigenspannungen, Springer, 1958.
Kröner, E., The continuized crystal — a bridge between micro- and macromechanics?, Z. Angew. Math. Mech. 66, T284-T292, 1986.
Lee, E. H., & D. T. Liu, Finite strain elastic-plastic theory with application to plane-wave analysis, J. Appl. Physics 38, 19–27, 1967.
Naghdi, P. M., A critical review of the state of finite plasticity, Z. Angew. Math. Physik 41, 316–387, 1990.
Nemat-Nasser, S., Decomposition of strain measures and their rates in finite deformation elastoplasticity, Int. J. Solids Structures 17, 859–872, 1979.
Noll, W., Lectures on the foundations of continuum mechanics and thermodynamics, Arch. Rational Mech. Anal. 52, 62–92, 1973.
Noll, W., Continuum mechanics and geometric integration theory, 17–29, in: Categories in Continuum Physics, edited by F. W. Lawvere & S. H. Schanuel, Lecture Notes in Mathematics, 1174, Springer, 1980.
Noll, W., Finite-Dimensional Spaces, Vol. I, Nijhoff, 1987.
Noll, W., The geometry of contact, separation, and reformation of continuous bodies, Arch. Rational Mech. Anal. 122, 197–212, 1993.
Noll, W., & E. Virga, Fit regions and functions of bounded variation, Arch. Rational Mech. Anal., 102, 1–22, 1988.
Owen, D. R., Deformations and stresses with and without microslip, AMD — Vol. 148, Defects and Anelasticity in the Characterization of Crystalline Solids, edited by L. M. Brock, ASME, 1992.
Vol'pert, A. I., & S. J. Hudjaev, Analysis in Classes of Discontinuous Functions and the Equations of Mathematical Physics, Nijhoff, 1985.
Woijtowicz, P. J., Introduction to the molecular theory of nematic liquid crystals, in Introduction to Liquid Crystals, edited by E. B. Priestly, P. J. Woijtowicz & Ping Sheng, Plenum Press, 1975.
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Del Piero, G., Owen, D.R. Structured deformations of continua. Arch. Rational Mech. Anal. 124, 99–155 (1993). https://doi.org/10.1007/BF00375133
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DOI: https://doi.org/10.1007/BF00375133