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Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics (Modern Mechanics and Mathematics)
Synopses & Reviews
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, 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.
Book News Annotation:
Maugin (U. Pierre et Marie Curie, Paris) explains that configurational forces, also called material forces in modern continuum mechanics, are those forces that are associated by duality with the displacement of motion of whatever may be considered a defect in a continuum field theory. Such defects include dislocations in ordered crystals, disinclinations in liquid crystals, shock waves in continuum mechanics, and domain walls in solid-state science. He presents a general framework, considering such aspects as Eshelbian mechanics for elastic bodies, the canonical thermodynamics of complex continua, systems with mass changes and/or diffusion, applications to nonlinear waves, and Eshelby-like problems and solutions. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
Presenting the general framework of configurational forces, this book offers an approach to material forces that can be used to predict the propagation of defects in materials ranging from dislocations and cracks in metals to domain walls in ferromagnets and many industrial components. It discusses a wide range of varied applications, including elasticity, plasticity, fracture, physics, and even biomechanics. Including numerous problems and examples, the author addresses such topics as field theory, canonical thermomechanics of complex continua, generalized continua, Eshelby stress, systems with mass exchange, electromagnetic materials, and numerical applications.
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