The Rational Spirit in Modern Continuum Mechanics

Table of Contents

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   Book Overview
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   Chapter 1 Memories of Clifford Truesdell
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   Chapter 2 Clifford Truesdell (1919–2000), Historian of Mathematics
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   Chapter 3 The Genesis of Truesdell’s Nonlinear Field Theories of Mechanics
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   Chapter 4 An Appreciation of Clifford Truesdell
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   Chapter 5 Clifford A. Truesdelľs Contributions to the Euler and the Bernoulli Edition
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   Chapter 6 Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity
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   Chapter 7 An Average-Stretch Full-Network Model for Rubber Elasticity
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   Chapter 8 From 3-D Nonlinear Elasticity Theory to 1-D Bars with Nonconvex Energy
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    Chapter 9 Eshelby Tensor as a Tensor of Free Enthalpy
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    Chapter 10 E. Frola (1906–1962): an Attempt Towards an Axiomatic Theory of Elasticity
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    Chapter 11 Symmetries and Hamiltonian Formalism for Complex Materials
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    Chapter 12 Geometrically-based Consequences of Internal Constraints
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    Chapter 13 Second Variation Condition and Quadratic Integral Inequalities with Higher Order Derivatives
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    Chapter 14 Principal Compliance and Robust Optimal Design
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    Chapter 15 Rivlin’s Representation Formula is Ill-Conceived for the Determination of Response Functions via Biaxial Testing
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    Chapter 16 Generalized Hessian and External Approximations in Variational Problems of Second Order
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    Chapter 17 Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid
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    Chapter 18 A Class of Fit Regions and a Universe of Shapes for Continuum Mechanics
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    Chapter 19 Toward a Field Theory for Elastic Bodies Undergoing Disarrangements
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    Chapter 20 Continuous Distributions of Dislocations in Bodies with Microstructure
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    Chapter 21 A Model of the Evolution of a Two-dimensional Defective Structure
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    Chapter 22 On the Theory of Rotation Twins in Crystal Multilattices
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    Chapter 23 Minimum Free Energies for Materials with Finite Memory
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    Chapter 24 About Clapeyron’s Theorem in Linear Elasticity
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    Chapter 25 The Lavrentiev Phenomenon in Nonlinear Elasticity
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    Chapter 26 Steady Flow of a Navier-Stokes Fluid around a Rotating Obstacle
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    Chapter 27 Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns
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    Chapter 28 Constitutive Relation of Elastic Polycrystal with Quadratic Texture Dependence
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    Chapter 29 Reconstruction Formula for Identifying Cracks
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    Chapter 30 An Approximate Treatment of Blunt Body Impact
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    Chapter 31 On the Transformation Property of the Deformation Gradient under a Change of Frame
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    Chapter 32 Some New Advances in the Theory of Dynamic Materials
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    Chapter 33 Pseudo-plasticity and Pseudo-inhomogeneity Effects in Materials Mechanics
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    Chapter 34 On the Microscopic Interpretation of Stress and Couple Stress
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    Chapter 35 The Hanging Rope of Minimum Elongation for a Nonlinear Stress-Strain Relation
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    Chapter 36 On Certain Weak Phase Transformations in Multilattices
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    Chapter 37 A New Quasilinear Model for Plate Buckling
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    Chapter 38 Cauchy’s Flux Theorem in Light of Geometric Integration Theory
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    Chapter 39 A Comparison of the Response of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells and Their Homogenized Counterparts
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    Chapter 40 On SO( n )-Invariant Rank 1 Convex Functions
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    Chapter 41 On Thermodynamics of Nonlinear Poroelastic Materials
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    Chapter 42 Anisotropic Elasticity and Multi-Material Singularities