The Rational Spirit in Modern Continuum Mechanics (eBook)

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. Truesdel?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.- E. Frola (1906–1962): an Attempt Towards an Axiomatic Theory of Elasticity.- Symmetries and Hamiltonian Formalism for Complex Materials.- 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.- 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.