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

Autor Journal of Nonlinear Science
en Limba Engleză Paperback – 16 oct 2012
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.
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Specificații

ISBN-13: 9781461270591
ISBN-10: 1461270596
Pagini: 548
Ilustrații: X, 532 p.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.76 kg
Ediția:Softcover reprint of the original 1st ed. 2000
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Research

Descriere

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.

Cuprins

Dynamical Problems for Geometrically Exact Theories of Nonlinearly Viscoelastic Rods.- The Limits of Hamiltonian Structures in Three-Dimensional Elasticity, Shells, and Rods.- The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation.- Gravity Waves on the Surface of the Sphere.- A Nonlinear Extensible 4-Node Shell Element Based on Continuum Theory and Assumed Strain Interpolations.- Multilayer Beams: A Geometrically Exact Formulation.- Obstructions to Quantization.- An Impetus-Striction Simulation of the Dynamics of an Elastica.- A Symplectic Integrator for Riemannian Manifolds.- Time Integration and Discrete Hamiltonian Systems.- Problems and Progress in Microswimming.- Symmetry Methods in Collisionless Many-Body Problems.- Mathematical Analysis of Sideband Instabilities with Application to Rayleigh-Bénard Convection.- 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.