The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates

Author:

Simo Juan C.,Marsden Jerrold E.,Krishnaprasad P. S.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference62 articles.

1. R. Abraham & J. Marsden [1978] Foundations of Mechanics, Second Edition, Addison Wesley.

2. R. Abraham, J. Marsden & T. Ratiu [1983] Manifolds, Tensor Analysis, and Applications, Addison-Wesley, Second Edition, Springer-Verlag, New York, 1988.

3. Handbuch der Physik, Vol. VIa/2;S. S. Antman,1972

4. S. S. Antman [1974] Kirchhoff's Problem for Nonlinearly Elastic Rods, Quart. J. of Appl. Math. 32, 221–240.

5. S. S. Antman & K. B. Jordan [1975] Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods, Proc. Roy. Soc. Edinburgh Sect. A 73 (5), 85–105.

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