The Rational Spirit in Modern Continuum Mechanics: Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III

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