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The Classical Field Theories

Clifford Ambrose Truesdell, +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.

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A unified formulation of small-strain corotational finite elements: I. Theory

TL;DR: A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.
Book

Modeling Materials: Continuum, Atomistic and Multiscale Techniques

TL;DR: In this paper, the authors present the complete fundamentals of multiscale modeling for graduate students and researchers in physics, materials science, chemistry, and engineering, with examples drawn from modern research on the thermodynamic properties of crystalline solids.
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Remarks on rate constitutive equations for finite deformation problems: computational implications

TL;DR: In this article, it was shown that if the elasticity tensor of an elastic material is taken as isotropic for all possible configurations, then its coefficients cannot be constants; they must depend nontrivially on the Jacobian determinant of the deformation gradient.
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
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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.