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The valuable input of students and colleagues has enabled the author to make many improvements to the first edition of this book, without, however, changing the main structure of the book. As a result, the second edition "Elasticity and Plasticity of Large deformations" still offers a careful introduction to modern non-linear mechanics. It presents in detail the used mathematical tools, such as tensor algebra and analysis. The general theory of mechanical behavior is particularized for the broad and important classes of elasticity and plasticity. The book is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics. The book is based on three decades of teaching experience in this field.
Deformations (Mechanics) --- Elasticity. --- Plasticity. --- Cohesion --- Elasticity --- Plastics --- Rheology --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Strains and stresses --- Strength of materials --- Elastic solids --- Mechanics --- Structural failures --- Properties --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Characterization and Evaluation of Materials. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Materials science. --- Material science --- Physical sciences
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Deformations (Mechanics) --- Elastic solids --- Mechanics --- Rheology --- Strains and stresses --- Structural failures
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Didactics of Dutch --- Higher education --- Poetry
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This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and thermomechanics. The first chapter focuses on balance laws and holds for all gradient materials. The next chapters are dedicated to the material modeling of second and third-order materials under finite deformations. Afterwards the scope is limited to the geometrically linear theory, i.e., to small deformations. The next chapter offers an extension of the concept of internal constraints to gradient materials. The final chapter is dedicated to incompressible viscous gradient fluids with the intention to describe, among other applications, turbulent flows, as already suggested by Saint-Venant in the middle of the 19th century.
Fluid mechanics --- Materials sciences --- Engineering sciences. Technology --- materiaalkennis --- ingenieurswetenschappen --- mechanica --- Materials.
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