The Rational Spirit in Modern Continuum Mechanics: Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III (Text, Speech & Language Technology) (v. 3)

Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional 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 ?rst ?ve 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 ?nd 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. Memories of Clifford Truesdell....Pages 1-13 Clifford Truesdell (1919–2000), Historian of Mathematics....Pages 15-22 The Genesis of Truesdell’s Nonlinear Field Theories of Mechanics ....Pages 23-30 An Appreciation of Clifford Truesdell....Pages 31-38 Clifford A. Truesdelľs Contributions to the Euler and the Bernoulli Edition....Pages 39-53 Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity....Pages 55-64 An Average-Stretch Full-Network Model for Rubber Elasticity....Pages 65-86 From 3-D Nonlinear Elasticity Theory to 1-D Bars with Nonconvex Energy....Pages 87-100 Eshelby Tensor as a Tensor of Free Enthalpy....Pages 101-112 E. Frola (1906–1962): an Attempt Towards an Axiomatic Theory of Elasticity....Pages 113-125 Symmetries and Hamiltonian Formalism for Complex Materials....Pages 127-140 Geometrically-based Consequences of Internal Constraints....Pages 141-149 Second Variation Condition and Quadratic Integral Inequalities with Higher Order Derivatives....Pages 151-167 Principal Compliance and Robust Optimal Design....Pages 169-196 Rivlin’s Representation Formula is Ill-Conceived for the Determination of Response Functions via Biaxial Testing....Pages 197-215 Generalized Hessian and External Approximations in Variational Problems of Second Order....Pages 217-242 Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid....Pages 243-264 A Class of Fit Regions and a Universe of Shapes for Continuum Mechanics....Pages 265-285 Toward a Field Theory for Elastic Bodies Undergoing Disarrangements....Pages 287-326 Continuous Distributions of Dislocations in Bodies with Microstructure....Pages 327-344 A Model of the Evolution of a Two-dimensional Defective Structure....Pages 345-355 On the Theory of Rotation Twins in Crystal Multilattices....Pages 357-373 Minimum Free Energies for Materials with Finite Memory....Pages 375-397 About Clapeyron’s Theorem in Linear Elasticity....Pages 399-426 The Lavrentiev Phenomenon in Nonlinear Elasticity....Pages 427-435 Steady Flow of a Navier-Stokes Fluid around a Rotating Obstacle....Pages 437-467 Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns....Pages 469-494 Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence....Pages 495-524 Reconstruction Formula for Identifying Cracks....Pages 525-538 An Approximate Treatment of Blunt Body Impact....Pages 539-554 On the Transformation Property of the Deformation Gradient under a Change of Frame....Pages 555-562 Some New Advances in the Theory of Dynamic Materials....Pages 563-573 Pseudo-plasticity and Pseudo-inhomogeneity Effects in Materials Mechanics....Pages 575-597 On the Microscopic Interpretation of Stress and Couple Stress....Pages 599-625 The Hanging Rope of Minimum Elongation for a Nonlinear Stress-Strain Relation....Pages 627-649 On Certain Weak Phase Transformations in Multilattices....Pages 651-671 A New Quasilinear Model for Plate Buckling....Pages 673-698 Cauchy’s Flux Theorem in Light of Geometric Integration Theory....Pages 699-719 A Comparison of the Response of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells and Their Homogenized Counterparts....Pages 721-749 On SO( n )-Invariant Rank 1 Convex Functions....Pages 751-762 On Thermodynamics of Nonlinear Poroelastic Materials....Pages 763-777 Anisotropic Elasticity and Multi-Material Singularities....Pages 779-808 Through his voluminous and influential writings, editorial activities, organizational leadership, intellectual acumen, and strong sense of history, Clifford A. Truesdell (1919-2000) was the main architect for the renaissance of rational continuum mechanics since the middle of the 20th century. This collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. There are essays of personal reminiscences (including contributions from J. Serrin, W. Noll, and B.D. Coleman among others), as are papers at the forefronts of research in rational continuum mechanics and its applications to materials science and structural mechanics. With historical photographs, a curriculum vitae and a complete list of publications of Clifford Truesdell, this collection will be of lasting value to applied mathematicians, research scientists and engineers, and historians of science who are interested in the past and current status of the modern rationalist movement in continuum mechanics. I consider myself to have been among the most fortunate of men: I have had a teacher and friend, indeed, more than a friend, in effect, an elder brother, who was the leading scholar in my science and who gave me encouragement, sound advice, and every type of help that I might need, even when I did not know that I needed it.