References
Cotter, B., & R. S. Rivlin: Tensors associated with time-dependent stress. Quart. Appl. Math. 13, 177–182 (1955).
Ehresmann, C.: Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie. Colloques internationaux du centre national de la recherche scientifique. Géométríe différentielle, 97–110. Paris 1953.
Green, A. E.: Simple extension of a hypo-elastic body of grade zero. J. Rational Mech. Anal. 5, 637–642 (1956).
Green, A. E., & R. S. Rivlin: The mechanics of non-linear materials with memory. Arch. Rational Mech. Anal. 1, 1–34 (1957).
Noll, W.: On the continuity of the solid and fluid states. J. Rational Mech. Anal. 4, 3–81 (1955).
Noll, W.: The foundations of classical mechanics in the light of recent advances in continuum mechanics. Proceedings of the Berkeley Symposium on the Axiomatic Method, 1958.
Noll, W.: On the foundations of the mechanics of continuous media. Carnegie Institute of Technology, Technical Report no. 17, Air Force Office of Scientific Research, 1957.
Rivlin, R. S., & J. L. Ericksen: Stress-deformation relations for isotropic materials. J. Rational Mech. Anal. 4, 323–425 (1955).
Rivlin, R. S.: Further remarks on stress-deformation relations for isotropic materials. J. Rational Mech. Anal. 4, 681–702 (1955).
Rivlin, R. S.: Solution of some problems in the exact theory of viscoelasticity. J. Rational Mech. Anal. 5, 179–188 (1956).
Toupin, R. A.: World invariant kinematics. Arch. Rational Mech. Anal. 1, 181–211 (1958).
Truesdell, C.: The mechanical foundations of elasticity and fluid dynamics. J. Rational Mech. Anal. 1, 125–300 (1952) and 2, 593–616 (1953).
Truesdell, C.: Hypo-elasticity. J. Rational Mech. Anal. 4, 83–133 (1955).
Truesdell, C.: Hypo-elastic shear. J. Appl. Physics 27, 441–447 (1956).
Zaremba, S.: Sur une forme perfectionnée de la théorie de la relaxation. Bull. Int. Acad. Sci. Cracovie 1903, 594–614.
Author information
Authors and Affiliations
Additional information
Communicated by C. Truesdell
Rights and permissions
About this article
Cite this article
Noll, W. A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197–226 (1958). https://doi.org/10.1007/BF00277929
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00277929