Mechanics: From Theory to Computation: Essays in Honor of Juan-Carlos Simo

by Juan Carlos Simo

Overview

This volume contains a series of papers invited by the Journal of Nonl inear Science Editors, and dedicated to the memory of Juan-Carlos Simo , one of its original editors. The articles are largely in areas of sc ientific interest of Professor Simo, including mechanics, geometry, ap plied dynamics, and computation. Juan-Carlos Simo did not see boundari es between computation, mathematics, mechanics and dynamics, and cross ed these boundaries with extremely high quality and productive interac tions. This volume aims to capture some of that spirit.

Product Details

ISBN-13:	9780387986630
Publisher:	Springer-Verlag New York, LLC
Publication date:	01/01/1999
Pages:	532
Product dimensions:	5.91(w) x 9.06(h) x (d)

Table of Contents

Dynamical Problems for Geometrically Exact Theories of Nonlinearly Viscoelastic Rods, S.S Antman.- The Limits of Hamiltonian Structures in Three-Dimensional Elasticity, Shells and Rods, Z. Ge, H.P. Kruse and J.E. Marsden - The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation, H. Le Dret and A. Raoult - Gravity Waves on the Surface of the Sphere, R. de la Llave and P. Panayotaros - A Nonlinear Extensible 4-Node Shell Element Based on Continuum Theory and Assumed Strain Interpolations, P. Betsch and E. Stein - Multilayer Beams: A Geometrically Exact Formulation, L. Vu-Quoc, H. Deng, and I.K. Ebcioglu - An Impetus-Striction Simulation of the Dynamics of an Elastica, D.J. Dichmann and J.H. Maddocks.- A Symplectic Integrator for Riemannian Manifolds, B. Leimkuhler and G.W. Patrick.- Time Integration and Discrete Hamiltonian Systems, O. Gonzalez.- Obstruction Results in Quantization Theory, M.J. Gotay, H.B. Grundling, and G.M. Tuynman.- Problems and Progress in Microswimming, J. Koiller, K. Ehlers, and R. Montgomery.- Symmetry Methods in Collisionless Many-Body Problems, I. Stewart.- Mathematical Analysis of Sideband Instabilities with Application to Rayleigh-Benard Convection, A. Mielke - KAM Theory Near Multiplicity One Resonant Surfaces in Perturbations of A-Priori Stable Hamiltonian Systems.- Constrained Euler Buckling.- Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations.- Stacked Lagrange Tops.- On the Bifurcation and Stability of Rigidly Rotating Inviscid Liquid Bridges.