Materially uniform simple bodies with inhomogeneities

Archive for Rational Mechanics and Analysis - Tập 27 - Trang 1-32 - 1967
Walter Noll1
1Carnegie-Mellon University, Pittsburgh

Tài liệu tham khảo

Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197–226 (1958). Truesdell, C., & W. Noll, The Non-linear Field Theories of Mechanics. Encyclopedia of Physics, Vol. III/3. Berlin-Heidelberg-New York: Springer 1965. Lang, S., Introduction to Differentiable Manifolds. New York-London-Sydney: Interscience 1962. Kröner, E.: Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Arch. Rational Mech. Anal. 4, 273–334 (1960). Seeger, A.: Recent advances in the theory of defects in crystals. Physica status solidi 1, 669–698 (1961). Noll, W., Space-time structures in classical mechanics. Delaware Seminar in the Foundations of Physics, pp. 28–34. New York: Springer 1967. Noll, W., Euclidean geometry and Minkowskian chronometry. Amer. Math. Monthly 71, 129–144 (1964). Wang, C.-C., On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations. Arch. Rational Mech. Anal., following in this issue. Coleman, B. D., & W. Noll, Material symmetry and thermostatic inequalities in finite elastic deformations. Arch. Rational Mech. Anal. 15, 87–111 (1964). Noll, W., The foundations of classical mechanics in the light of recent advances in continuum mechanics. The Axiomatic Method, with special reference to geometry and physics, pp. 266–281. Amsterdam: North Holland 1959.