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Multiscale Modeling Approaches for Composites, 2022
George Chatzigeorgiou +2 more
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George Chatzigeorgiou +2 more
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Introduction to Classical Mechanics, 2015 Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as ...
Timo Probst
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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On thermodynamically compatible finite volume schemes for continuum mechanics
SIAM Journal on Scientific Computing, 2022In this paper we present a new family of semi-discrete and fully-discrete finite volume schemes for overdetermined, hyperbolic and thermodynamically compatible PDE systems. In the following we will denote these methods as HTC schemes.
S. Busto +3 more
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Multipolar Continuum Mechanics
Archive for Rational Mechanics and Analysis, 1964A general theory of multipolar displacement and velocity fields with corresponding multipolar body and surface forces and multipolar stresses is developed using an energy principle, an entropy production inequality and invariance conditions under superposed rigid body motions.
Green, A. E., Rivlin, R. S.
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2012
This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples ...
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This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples ...
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Continuum mechanics with torsion
Continuum Mechanics and Thermodynamics, 2018This paper is an attempt to introduce methods and concepts of the Riemann–Cartan geometry largely used in such physical theories as general relativity, gauge theories, solid dynamics to fluid dynamics in general and to studying and modeling turbulence in
I. Peshkov, E. Romenski, M. Dumbser
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