This special issue of ZAMP is published to honor Paul M. Naghdi for his contributions to mechanics over the last forty years and more. It is offered in celebration of his long, productive career in continuum mechan ics; a career which has been marked by a passion for the intrinsic beauty of the subject, an uncompromising adherence to academic standards, and an untiring devotion to our profession. Originally, this issue was planned in celebration of Naghdi's 70th birthday, which occurred on 29 March 1994. But, as the papers were being prepared for the press, it became evident that the illness…mehr
This special issue of ZAMP is published to honor Paul M. Naghdi for his contributions to mechanics over the last forty years and more. It is offered in celebration of his long, productive career in continuum mechan ics; a career which has been marked by a passion for the intrinsic beauty of the subject, an uncompromising adherence to academic standards, and an untiring devotion to our profession. Originally, this issue was planned in celebration of Naghdi's 70th birthday, which occurred on 29 March 1994. But, as the papers were being prepared for the press, it became evident that the illness from which Professor Naghdi had been suffering during recent months was extremely serious. On 26 May 1994, a reception took place in the Department of Mechanical Engineering at Berkeley, at which Naghdi received The Berkeley Citation (which is given in lieu of an honorary degree) and where he was also presented with the Table of Contents of the present collection. Subse quently, he had the opportunity to read the papers in manuscript form. He was very touched that his colleagues had chosen to honor him with their fine contributions. The knowledge that he was held in such high esteem by his fellow scientists brought a special pleasure and consolation to him in his last weeks. On Saturday evening, 9 July 1994, Paul Naghdi succumbed to the lung cancer which he had so courageously endured.
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.
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.
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