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

Front Matter....Pages i-x
Dynamical Problems for Geometrically Exact Theories of Nonlinearly Viscoelastic Rods....Pages 1-18
The Limits of Hamiltonian Structures in Three-Dimensional Elasticity, Shells, and Rods....Pages 19-57
The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation....Pages 59-84
Gravity Waves on the Surface of the Sphere....Pages 85-105
A Nonlinear Extensible 4-Node Shell Element Based on Continuum Theory and Assumed Strain Interpolations....Pages 107-137
Multilayer Beams: A Geometrically Exact Formulation....Pages 139-170
Obstructions to Quantization....Pages 171-216
An Impetus-Striction Simulation of the Dynamics of an Elastica....Pages 217-238
A Symplectic Integrator for Riemannian Manifolds....Pages 239-256
Time Integration and Discrete Hamiltonian Systems....Pages 257-275
Problems and Progress in Microswimming....Pages 277-311
Symmetry Methods in Collisionless Many-Body Problems....Pages 313-333
Mathematical Analysis of Sideband Instabilities with Application to Rayleigh-Bénard Convection....Pages 335-377
KAM Theory Near Multiplicity One Resonant Surfaces in Perturbations of A-Priori Stable Hamiltonian Systems....Pages 379-411
Constrained Euler Buckling....Pages 413-446
Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes Equations....Pages 447-474
Stacked Lagrange Tops....Pages 475-514
On the Bifurcation and Stability of Rigidly Rotating Inviscid Liquid Bridges....Pages 515-532