Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics (Modern Mechanics and Mathematics) ebook

by Gerard A. Maugin

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Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics.

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Download books for free. Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of .

On an equal level, the thermomechanics, physics, mathematics and numerics of configurational forces are covered.

by Maugin, G. A. Series: Modern mechanics and mathematics Published by : Chapman & Hall/CRC, (Boca Raton, FL :) Physical details: xiv, 536 p. ; 24 c. ISBN: 143984612X Subject(s): Continuum mechanics. ; 24 cm. Differential equations, Partial. Tags from this library: No tags from this library for this title. Holdings ( 2 ). Title Notes.

Configurational forces. Thermomechanics, physics, mathematics, and numerics

Configurational forces. Thermomechanics, physics, mathematics, and numerics. Thermoelastic material forces: Definition and geometric aspects. The parallel between the classical theory of elasticity and the modern physical theory of the solid state is incomplete; the former has nothing analogous to the concept of the force acting on an imperfection (dislocation, foreign atom, et. in a stressed crystal lattice. To remedy this a general theory of the forces on singularities in a Hookean elastic continuum is developed.

Configurational Forces: Thermodynamics, Physics, Mathematics and Numerics. Thermomechanics of Nonlinear Irreversible Behaviors. World Scientific, Singapore (1999)zbMATHGoogle Scholar. CRC, Chapman & Hall, Taylor and Francis, Boca Raton, Florida (2011)Google Scholar.

The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics.

Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces―one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.