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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Journal ArticleDOI
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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MonographDOI
Théorie analytique de la chaleur
TL;DR: Fourier's Theorie Analytique de la Chaleur as mentioned in this paper was originally published in 1822 and was used to study the mathematical laws governing heat diffusion and proposed that an infinite mathematical series may be used to analyse the conduction of heat in solids.
Journal ArticleDOI
Large elastic deformations of isotropic materials IV. further developments of the general theory
TL;DR: In this article, the surface forces necessary to produce simple shear in a cuboid of either compressible or incompressible material and those required to generate simple torsion in a right-circular cylinder of incompressibly material are derived.