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This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practise. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modelling of material behaviour.
Continuum mechanics. --- Mechanics, Analytic. --- Analytical mechanics --- Kinetics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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Continuum mechanics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Continuum mechanics.
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This textbook describes the fundamental "physical" aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics. It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids. I
Fluid mechanics. --- Continuum mechanics. --- Mechanics of continua --- Hydromechanics --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Continuum mechanics
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Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research
Continuum mechanics --- Mathematical models. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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Continuum mechanics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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Continuum mechanics. --- Nonlinear mechanics. --- Mechanics, Nonlinear --- Mechanics, Analytic --- Mechanics of continua --- Elasticity --- Field theory (Physics)
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Continuum Mechanics is the foundation for Applied Mechanics. There are numerous books on Continuum Mechanics with the main focus on the macroscale mechanical behavior of materials. Unlike classical Continuum Mechanics books, this book summarizes the advances of Continuum Mechanics in several defined areas. Emphasis is placed on the application aspect. The applications described in the book cover energy materials and systems (fuel cell materials and electrodes), materials removal, and mechanical response/deformation of structural components including plates, pipelines etc. Researchers from different fields should be benefited from reading the mechanics approached to real engineering problems.
Continuum mechanics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mechanical engineering
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"Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications"--
Continuum mechanics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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Continuum mechanics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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The areas of suspension mechanics, stability and computational rheology have exploded in scope and substance in the last decade. The present book is one of the first of a comprehensive nature to treat these topics in detail. The aim of the authors has been to highlight the major discoveries and to present a number of them in sufficient breadth and depth so that the novice can learn from the examples chosen, and the expert can use them as a reference when necessary. The first two chapters, grouped under the category General Principles, deal with the kinematics of continuous media and t
Viscous flow. --- Continuum mechanics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Fluid dynamics --- Viscosity
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