Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids

A collection of papers in honor of Paul M. Naghdi

Inbunden, Engelska, 1995

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This work is a collection of papers on the mechanics of fluids and solids, written by leading researchers. The book encompasses theoretical, experimental and numerical work on a variety of topics, including nonlinear elasticity, plasticity, dynamics, water waves and turbulence. The collection is published in celebration of Professor Paul M. Naghdi's contributions to the field of mechanics. It is intended to be of interest to graduate students and researchers in all branches of continuum mechanics.

Produktinformation

Utgivningsdatum1995-07-27
Mått170 x 240 x 51 mm
Vikt1 622 g
FormatInbunden
SpråkEngelska
Antal sidor852
Upplaga1995
FörlagBirkhauser Verlag AG
ISBN9783764351397

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Foreword.- Paul M. Naghdi (1924–1994).- List of Publication of P. M. Naghdi.- I. Nonlinear and Linear Elasticity.- Interfacial and surface waves in pre-strained isotropic elastic media.- Deformations of an elastic, internally constrained material. Part 3: Small superimposed deformations and waves.- On axisymmetric solutions for compressible nonlinearly elastic solids.- On obtaining closed form solutions for compressible nonlinearly elastic materials.- Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function.- Conditions on the elastic strain-energy function.- On the stability of a biaxially stressed elastic material with a free surface under variations in surface shape.- Expressions for the gradients of the principal stresses and their application to interior stress concentration.- On the number of distinct elastic constants associated with certain anisotropic elastic symmetries.- Stress and deformation in moderately anisotropic inhomogeneous elastic plates.- II. General Continuum Mechanics.- Remarks concerning forces on line defects.- On entropy and incomplete information in irreversible heat flow.- A system of hyperbolic conservation laws with frictional damping.- Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point.- The relaxation of a decompressed inclusion.- The common conjugate directions of plane sections of two concentric ellipsoids.- III. Plasticity.- Stable response in the plastic range with local instability.- A work-hardening elastic-plastic wedge.- Finite elastic-plastic deformations of an ideal fibre-reinforced beam bent around a cylinder.- The elasto-plastic plate with a hole: Analytical solutions derived by singular perturbations.- Exact stressstates and velocity fields in bicrystals at the yield point in channel die compression.- IV. Biological and New Technological Materials.- Stress, strain, growth, and remodeling of living organisms.- Experimental determination of tribological properties of ultra-thin solid films.- The hierarchy of microstructures for low density materials.- Swelling and shrinking of polyelectrolytic gels.- V. Fluid Mechanics.- On gravity waves in channels.- Bragg scattering of water waves by Green-Naghdi theory.- Water waves over a sloping beach in a rotating frame.- An approximate theory for velocity profiles in the near wake of a flat plate.- On the motion of a non-rigid sphere in a perfect fluid.- An adaptive hp-finite element method for incompressible free surface flows of generalized Newtonian fluids.- Viscoelastic effects in film casting.- Experimental evidence for intense vortical structures in grid turbulence.- Evaluation of Reynolds stress turbulence closures in compressible homogeneous shear flow.- A structural theory of anisotropic turbulence.- VI. Dynamics.- The effect of damping on the stability of gyroscopic pendulums.- Dynamical systems considered as ordering machines.- On the advantages of a geometrical viewpoint in the derivation of Lagrange’s equations for a rigid continuum.- Author Index.