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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Theory of Elastic Dielectrics Revisited
TL;DR: In this article, a variational principle for electromagnetic elastic bodies was developed for stress tensors and configurational stresses were derived by energy minimization, based on an energy minimisation approach.
Journal ArticleDOI
A numerical study of a plate with a hole for a new class of elastic bodies
TL;DR: The boundary value problem of a hole in a finite nonlinear elastic plate that belongs to a subset of this class of generalization of elastic bodies, subject to a uniaxial state of traction at the boundary was studied in this paper.
Journal ArticleDOI
Mathematical modeling of magnetorheological fluids
I. A. Brigadnov,A. Dorfmann +1 more
TL;DR: In this paper, the Clausius-Duhem inequality for moving isotropic magnetorheological fluids in an electro-magnetic field has been studied and the material constitutive relations for a non-Newtonian incompressible MR fluid are presented.
Journal ArticleDOI
Protoelastic bodies with large deformation
TL;DR: In this article, a potential representation for the stress tensor in terms of the strain tensor may be looked upon as the Euler-Lagrange derivative* if we view the strain energy function as the Lagrangian function and the displacement gradients as the field variables.
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Geometrical methods for the elasticity theory of membranes
TL;DR: The elasticity theory of curved membranes was developed using geometrical methods in this paper, and the strain tensor was shown to be the Lie derivative of the metric tensor with respect to a flow.
References
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Book
Molecular theory of gases and liquids
TL;DR: Molecular theory of gases and liquids as mentioned in this paper, molecular theory of gas and liquids, Molecular theory of liquid and gas, molecular theories of gases, and liquid theory of liquids, مرکز
Book
A Treatise on Electricity and Magnetism
TL;DR: The most influential nineteenth-century scientist for twentieth-century physics, James Clerk Maxwell (1831-1879) demonstrated that electricity, magnetism and light are all manifestations of the same phenomenon: the electromagnetic field as discussed by the authors.
Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.