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Mechanics: From Theory to Computation

Essays in Honor of Juan-Carlos Simo

  • Conference proceedings
  • © 2000

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Editors:
  1. Journal of Nonlinear Science
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Table of contents (18 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Dynamical Problems for Geometrically Exact Theories of Nonlinearly Viscoelastic Rods

    • S. S. Antman
    Pages 1-18

  3. The Limits of Hamiltonian Structures in Three-Dimensional Elasticity, Shells, and Rods

    • Z. Ge, H. P. Kruse, J. E. Marsden
    Pages 19-57

  4. The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation

    • H. Le Dret, A. Raoult
    Pages 59-84

  5. Gravity Waves on the Surface of the Sphere

    • R. de la Llave, P. Panayotaros
    Pages 85-105

  6. A Nonlinear Extensible 4-Node Shell Element Based on Continuum Theory and Assumed Strain Interpolations

    • P. Betsch, E. Stein
    Pages 107-137

  7. Multilayer Beams: A Geometrically Exact Formulation

    • L. Vu-Quoc, H. Deng, I. K. Ebcioğlu
    Pages 139-170

  8. Obstructions to Quantization

    • M. J. Gotay
    Pages 171-216

  9. An Impetus-Striction Simulation of the Dynamics of an Elastica

    • D. J. Dichmann, J. H. Maddocks
    Pages 217-238

  10. A Symplectic Integrator for Riemannian Manifolds

    • B. Leimkuhler, G. W. Patrick
    Pages 239-256

  11. Time Integration and Discrete Hamiltonian Systems

    • O. Gonzalez
    Pages 257-275

  12. Problems and Progress in Microswimming

    • J. Koiller, K. Ehlers, R. Montgomery
    Pages 277-311

  13. Symmetry Methods in Collisionless Many-Body Problems

    • I. Stewart
    Pages 313-333

  14. Mathematical Analysis of Sideband Instabilities with Application to Rayleigh-Bénard Convection

    • A. Mielke
    Pages 335-377

  15. KAM Theory Near Multiplicity One Resonant Surfaces in Perturbations of A-Priori Stable Hamiltonian Systems

    • M. Rudnev, S. Wiggins
    Pages 379-411

  16. Constrained Euler Buckling

    • G. Domokos, P. Holmes, B. Royce
    Pages 413-446

  17. Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations

    • J. M. Ball
    Pages 447-474

  18. Stacked Lagrange Tops

    • D. Lewis
    Pages 475-514

  19. On the Bifurcation and Stability of Rigidly Rotating Inviscid Liquid Bridges

    • H.-P. Kruse, J. Scheurle
    Pages 515-532
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Keywords

About this book

Starting in 1996, a sequence of articles appeared in the Journal of Nonlinear Science dedicated to the memory of one of its original editors, Juan-Carlos Simo, Applied Me­ chanics, Stanford University. Sadly, Juan-Carlos passed away at an early age in 1994. We lost a brilliant colleague and a wonderful person. These articles are collected in the present volume. Many of them are updated and corrected especially for this occasion. These essays are in areas of scientific interest of Juan-Carlos, including mechanics (particles, rigid bodies, fluids, elasticity, plastic­ ity, etc.), geometry, applied dynamics, and, of course, computation. His interests were extremely broad-he did not see boundaries between computation, mathematics, me­ chanics, and dynamics, and, in that sense, he ideally reflected the spirit of the journal and many of the most exciting areas of current scientific interest. Juan-Carlos was one of those select and gifted people who could cross interdisci­ plinary boundaries with extremely high quality and productive interactions of lasting value. His contributions, ranging from concrete engineering problems to fundamental mathematical theorems in geometric mechanics, are remarkable. In current conferences as well as in scientific books and articles, and over a wide range of subjects, one frequently hears how his ideas as well as specific results are often used and quoted-this is one indication of just how profound and fundamental his work has impacted the community.

Bibliographic Information

  • Book Title: Mechanics: From Theory to Computation

  • Book Subtitle: Essays in Honor of Juan-Carlos Simo

  • Editors: Journal of Nonlinear Science

  • DOI: https://doi.org/10.1007/978-1-4612-1246-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98663-0Published: 29 December 1999

  • Softcover ISBN: 978-1-4612-7059-1Published: 17 October 2012

  • eBook ISBN: 978-1-4612-1246-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 532

  • Topics: Classical Mechanics, Fluid- and Aerodynamics, Geometry

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