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

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

06.07.2004

Abbildungen

XLIII, 808 p.

Herausgeber

Chi-Sing Man + weitere

Verlag

Springer Netherland

Seitenzahl

808

Maße (L/B/H)

24,1/16/5,1 cm

Gewicht

1431 g

Auflage

2004

Sprache

Englisch

ISBN

978-1-4020-1828-2

Beschreibung

Rezension

Chi-Sing Man, Fosdick, R. L.:



The Rational Spirit in Modern Continuum Mechanics



Kluwer Acad. Pub. I Springer Netherlands, 2004, 1. Auflage, 8O8p., Hardcover



ISBN-1O: 1-4020-1828-2, ISBN-13: 978-1-4020-1828-2, 180,- €, 198.- $



On January 14, 2000 Clifford A. Truesdell passed away. He can be considered as the "main architect for the renaissance of rational continuum mechanics since the middle of the twentieth century" (R. Fosdick). The essays and articles of the present book are dedicated to this important and remarkable person. They have been previously published in the Journal ofElasticity Vols. 70, 71, 72 (2003).



The book starts with a reproduction of a painting of Truesdell by J. Sheppard. In the sequel, some more pictures of Truesdell can be found. After a brief foreword by R. Fosdick, a list of Truesdell’s published works is given, which contains more than 270 titles. The last one is the third editions of The Non-Linear Field Theories of Mechanics, co-authored by W. Noll.



The following articles by B. D. Coleman, E. Giusti, W. Noll, J. Serrin and D. Speiser contain considerations of Truesdell’s life, work, and academic activities.



The rest of this voluminous book contains almost 40 scientific papers on various aspects of continuum mechanics, thermodynamics, mathematics, and related fields. The list of the authors reads like the Who is Who of modem continuum mechanics. Some of these papers also contain small dedications and references to Truesdell’s life, work, and personality. In fact, many of these authors can be considered as scholars of Truesdell, which demonstrates the huge range of his influence upon natural science. Apart from the American school, there is also a significant amount of Italian contributions, among many others worldwide.



This brief review is not the right place to consider all these papers individually, although many of them are rather remarkable. Most of them show the high mathematical standard ofrational mechanics, which is also due to Truesdell’s intentions. The book may serve as an overview on the state of art of modem natural science, and gives some insight into particular fields of current research activities as well. Consequently, it is not only interesting for historical reasons, but also for those who want to know more about modem mechanics and applied mathematics.


Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

06.07.2004

Abbildungen

XLIII, 808 p.

Herausgeber

Verlag

Springer Netherland

Seitenzahl

808

Maße (L/B/H)

24,1/16/5,1 cm

Gewicht

1431 g

Auflage

2004

Sprache

Englisch

ISBN

978-1-4020-1828-2

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: The Rational Spirit in Modern Continuum Mechanics
  • Produktbild: The Rational Spirit in Modern Continuum Mechanics
  • 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 NonlinearElasticity 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.