Man C.-S., Fosdick R.L. (eds.) The Rational Spirit in Modern Continuum Mechanics

Kluwer, 2005. — 846 p.Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III.
Through his voluminous and influential writings, editorial activities, organizational leadership, intellectual acumen, and strong sense of history, Clifford Ambrose Truesdell III (1919–2000) was the main architect for the renaissance of rational continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy.
The first five essays by B.D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will find personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy.
The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny. It is in celebration of this spirit and this essence that these research papers are dedicated to the memory of their bearer, driving force, and main promoter for half a century. Most of these papers were presented at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory – In Memory of Clifford A. Truesdell III, held in Blacksburg, Virginia, in June 2002; parts of two papers were delivered at the meeting Remembering Clifford Truesdell, held in Turin in November 2002; and the rest was written especially for the present collection.Memories of Clifford Truesdell
Clifford Truesdell (1919–2000), Historian of Mathematics
The Genesis of Truesdell’s Nonlinear Field Theories of Mechanics
An Appreciation of Clifford Truesdell
Clifford A. Truesdell’s Contributions to the Euler and the Bernoulli Edition
Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity
An Average-Stretch Full-Network Model for Rubber Elasticity
/ From 3-D Nonlinear Elasticity Theory to 1-D Bars with Nonconvex Energy
Eshelby Tensor as a Tensor of Free Enthalpy
An Attempt Towards an Axiomatic Theory of Elasticity
Symmetries and Hamiltonian Formalism for Complex
Geometrically-based Consequences of Internal Constraints
Second Variation Condition and Quadratic Integral Inequalities with Higher Order Derivatives
Principal Compliance and Robust Optimal Design
Rivlin’s Representation Formula is Ill-Conceived for the Determination of Response Functions via Biaxial Testing
Generalized Hessian and External Approximations in Variational Problems of Second Order
Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid
A Class of Fit Regions and a Universe of Shapes for Continuum Mechanics
Toward a Field Theory for Elastic Bodies Undergoing Disarrangements
Continuous Distributions of Dislocations in Bodies with Microstructure
A Model of the Evolution of a Two-dimensional Defective Structure
On the Theory of Rotation Twins in Crystal Multilattices
Minimum Free Energies for Materials with Finite Memory
About Clapeyron’s Theorem in Linear Elasticity
The Lavrentiev Phenomenon in Nonlinear Elasticity
Steady Flow of a Navier–Stokes Fluid around a Rotating Obstacle
Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns
Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence
Reconstruction Formula for Identifying Cracks
On the Transformation Property of the Deformation Gradient under a Change of Frame
An Approximate Treatment of Blunt Body Impact
On the Transformation Property of the Deformation Gradient under a Change of Frame
Some New Advances in the Theory of Dynamic Materials
Pseudo-plasticity and Pseudo-inhomogeneity Effects in Materials Mechanics
On the Microscopic Interpretation of Stress and Couple Stress
The Hanging Rope of Minimum Elongation for a Nonlinear Stress–Strain Relation
On Certain Weak Phase Transformations in Multilattices
A New Quasilinear Model for Plate Buckling
Cauchy’s Flux Theorem in Light of Geometric Integration Theory
A Comparison of the Response of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells and Their Homogenized Counterparts
On SO(n)-Invariant Rank 1 Convex Functions
On Thermodynamics of Nonlinear Poroelastic Materials
Anisotropic Elasticity and Multi-Material Singularities