The Rational Spirit in Modern Continuum Mechanics

Table of Contents......Page 8
Portrait by Joseph Sheppard......Page 6
Foreword......Page 12
Published Works of Clifford Ambrose Truesdell III......Page 14
Serials Edited by Clifford Ambrose Truesdell III......Page 42
Eulogium......Page 44
Photograph: Bloomington, Indiana, 1959......Page 46
Memories of Clifford Truesdell......Page 48
Clifford Truesdell (1919–2000), Historian of Mathematics......Page 62
The Genesis of Truesdell’s Nonlinear Field Theories of Mechanics......Page 70
An Appreciation of Clifford Truesdell......Page 78
Clifford A. Truesdell’s Contributions to the Euler and the Bernoulli Edition......Page 86
Photograph: Baltimore, Maryland, 1978......Page 102
Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity......Page 104
An Average-Stretch Full-Network Model for Rubber Elasticity......Page 114
From 3-D Nonlinear Elasticity Theory to 1-D Bars with Nonconvex Energy......Page 136
Eshelby Tensor as a Tensor of Free Enthalpy......Page 150
E. Frola (1906–1962): An Attempt Towards an Axiomatic Theory of Elasticity......Page 162
Symmetries and Hamiltonian Formalism for Complex Materials......Page 176
Geometrically-based Consequences of Internal Constraints......Page 190
Second Variation Condition and Quadratic Integral Inequalities with Higher Order Derivatives......Page 200
Principal Compliance and Robust Optimal Design......Page 218
Rivlin’s Representation Formula is Ill-Conceived for the Determination of Response Functions via Biaxial Testing......Page 246
Generalized Hessian and External Approximations in Variational Problems of Second Order......Page 266
Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid......Page 292
A Class of Fit Regions and a Universe of Shapes for Continuum Mechanics......Page 314
Toward a Field Theory for Elastic Bodies Undergoing Disarrangements......Page 336
Continuous Distributions of Dislocations in Bodies with Microstructure......Page 376
A Model of the Evolution of a Two-dimensional Defective Structure......Page 394
On the Theory of Rotation Twins in Crystal Multilattices......Page 406
Minimum Free Energies for Materials with Finite Memory......Page 424
About Clapeyron’s Theorem in Linear Elasticity......Page 448
The Lavrentiev Phenomenon in Nonlinear Elasticity......Page 476
Steady Flow of a Navier–Stokes Fluid around a Rotating Obstacle......Page 486
Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns......Page 518
Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence......Page 544
Reconstruction Formula for Identifying Cracks......Page 574
An Approximate Treatment of Blunt Body Impact......Page 588
On the Transformation Property of the Deformation Gradient under a Change of Frame......Page 604
Some New Advances in the Theory of Dynamic Materials......Page 612
Pseudo-plasticity and Pseudo-inhomogeneity Effects in Materials Mechanics......Page 624
On the Microscopic Interpretation of Stress and Couple Stress......Page 648
The Hanging Rope of Minimum Elongation for a Nonlinear Stress–Strain Relation......Page 676
On Certain Weak Phase Transformations in Multilattices......Page 700
A New Quasilinear Model for Plate Buckling......Page 722
Cauchy’s Flux Theorem in Light of Geometric Integration Theory......Page 748
A Comparison of the Response of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells and Their Homogenized Counterparts......Page 770
On SO(n)-Invariant Rank 1 Convex Functions......Page 800
On Thermodynamics of Nonlinear Poroelastic Materials......Page 812
Anisotropic Elasticity and Multi-Material Singularities......Page 828