Book ChapterDOI
The Classical Field Theories
Clifford Ambrose Truesdell,R. Toupin +1 more
- Vol. 2, pp 226-858
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The article was published on 1960-01-01. It has received 3018 citations till now. The article focuses on the topics: Classical unified field theories & Liouville field theory.read more
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A continuum theory of elastic material surfaces
TL;DR: In this paper, a mathematical framework is developed to study the mechanical behavior of material surfaces, and the tensorial nature of surface stress is established using the force and moment balance laws using a linear theory with non-vanishing residual stress.
Journal ArticleDOI
General Relativity with Spin and Torsion: Foundations and Prospects
TL;DR: In this article, a generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role, and the theory which emerges from taking this coupling into account, the ${U}_{4}$ theory of gravitation, predicts, in addition to the usual infinite-range gravitational interaction medicated by the metric field, a new, very weak, spin contact interaction of gravitational origin.
Book
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
TL;DR: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software.
Journal ArticleDOI
Effects of couple-stresses in linear elasticity
Book ChapterDOI
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity
TL;DR: The basic physical concepts of classical continuum mechanics are body, configuration of a body, and force system acting on a body as mentioned in this paper, which can be expressed as follows: a body is regarded as a smooth manifold whose elements are the material points; a configuration is defined as a mapping of the body into a three-dimensional Euclidean space, and a force system is defined to be a vector-valued function defined for pairs of bodies.
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Sur les équations générales de la Thermodynamique
TL;DR: In this article, Gauthier-Villars implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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Diffusion as Hydrodynamic Motion
TL;DR: A phenomenological definition of diffusion in a binary mixture suggests a description of the motion by a hydrodynamic equation which contains a frictional force proportional to the relative diffusion velocity as mentioned in this paper.
Journal ArticleDOI
Space-time continua of perfect fluids in general relativity
TL;DR: In this article, a geometrical characterization of the geodesic continua of a static fluid is given, showing that the world-lines of flow and of light of the latter are geodesics of the former.