On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations

Archive for Rational Mechanics and Analysis - Tập 27 - Trang 33-94 - 1967
C. -C. Wang1
1The Johns Hopkins University, Baltimore

Tài liệu tham khảo

Truesdell, C., & W. Noll, The Non-linear Field Theories of Mechanics. Handbuch der Physik, Vol. III/3. Berlin-Heidelberg-New York: Springer 1965. Noll, W., Arch. Rational Mech. Anal. 2, 197–226 (1958/59). Kondo, K., Memoirs of the Unifying Study of the Basic Problems in Engineering by Means of Geometry, Vol. I (1955), II (1958). Tokyo: Gakujutsu Bunken Fukyu-Kai. Nye, J. F., Acta Met. 1, 153–162 (1953). Bilby, B. A., R. Bullough, & E. Smith, Proc. Roy. Soc. Lond. A231, 263–273 (1955). Bilby, B. A., Progress in Solid Mechanics 1, 329–398 (1960). Ed. I. N. Sneddon & R. Hill. Kröner, E., & A. Seeger, Arch. Rational Mech. Anal. 3, 97–119 (1959). Chern, S. S., Differentiable Manifolds. Lecture Notes, Dept. Math., Univ. Chicago (1959). Sternberg, S., Lectures on Differential Geometry. Prentice-Hall 1964. Nomizu, K., Lie Groups and Differential Geometry. Math. Soc. Japan (1956). Kobayashi, S., & K. Nomizu, Foundations of Differential Geometry. John Wiley & Sons Interscience Publishers 1963. Lang, S., Introduction to Differentiable Manifolds. John Wiley & Sons Interscience Publishers 1962. Auslander, L., & R. Mackenzie, Introduction to Differentiable Manifolds. McGraw-Hill 1963. Nôno, T., Paper to appear in J. Math. Anal. Appl. Lie, S., & F. Engel, Theorie der Transformationsgruppen. Vol. 3. Leipzig: Teubner 1893. Noll, W., Proc. Sym. Applied Math. Vol. XVII, 93–101 (1965). Gurtin, M. E., & W. C. Williams, Arch. Rational Mech. Anal. 23, 163–172 (1966). Halmos, P. R., Measure Theory. Van Nostrand 1950. Coleman, B. D., Arch. Rational Mech. Anal. 20, 41–58 (1965). Wang, C.-C., Arch. Rational Mech. Anal. 20, 1–40 (1965). Chevalley, C., Theory of Lie Groups. Princeton University Press 1946. Cohn, P. M., Lie Groups. Cambridge University Press 1957. Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 6, 355–370 (1960). Wang, C.-C., Arch. Rational Mech. Anal. 18, 343–366 (1965). Wang, C.-C., Arch. Rational Mech. Anal. 18, 117–126 (1965). Coleman, B. D., & V. J. Mizel, Arch. Rational Mech. Anal. 23, 87–123 (1966). Mizel, V. J., & C.-C. Wang, Arch. Rational Mech. Anal. 23, 124–134 (1966). Steenrod, N., The Topology of Fibre Bundles. Princeton University Press 1951. Frank, F. C., Phil. Mag. 42, 809–819 (1951). Schouten, J. A., Ricci-Calculus. Berlin-Göttingen-Heidelberg: Springer 1954. Ambrose, W., & I. M. Singer, Trans. Amer. Math. Soc. 75, 428–443 (1953). Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 15, 87–111 (1964). Green, A. E., & J. E. Adkins, Large Elastic Deformations and Non-linear Continuum Mechanics. Oxford: Clarendon Press 1960. Kröner, E., Arch. Rational Mech. Anal. 3, 273–334 (1959/60).