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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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Citations
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Selection and assessment of phenomenological models of tumor growth

TL;DR: This work discusses general approaches to model calibration, validation, plausibility, and selection based on Bayesian-based methods, information theory, and maximum information entropy, and addresses computational issues.
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Coherent Solid-State Phase Transitions with Atomic Diffusion: A Thermomechanical Treatment

TL;DR: In this paper, the authors developed sharp and diffuse-interface theories for coherent solid-state phase transitions, based on modern continuum thermomechanics, which account for atomic diffusion and for deformation.
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A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain

TL;DR: In this paper, a finite strain multiscale hydro-mechanical model is established via an extended Hill-Mandel condition for two-phase porous media, and a dual-scale semi-implicit scheme is proposed, which treats macroscopic responses implicitly and microscopic responses explicitly.
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A mixture of viscous elastic materials with different constituent temperatures

TL;DR: In this paper, a mixture of any number of materials with elastic and viscous properties in which the constituents may have different temperatures is discussed, and constitutive equations are discussed for a mixture.
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Full 3D finite element Cosserat formulation with application in layered structures

TL;DR: In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework, which is consistent with plate theory.
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.