Nonlinear Continuum Mechanics and Large Inelastic Deformations [recurso electrónico] / by Yuriy I. Dimitrienko.
Tipo de material: TextoSeries Solid Mechanics and Its Applications ; 174Editor: Dordrecht : Springer Netherlands, 2011Descripción: XXIV, 721 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9789400700345Tema(s): Engineering | Materials | Mechanical engineering | Engineering | Continuum Mechanics and Mechanics of Materials | Mechanical Engineering | Computational Intelligence | Classical Continuum Physics | Materials Science, generalFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 620.1 Clasificación LoC:TA405-409.3QA808.2Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | TA405 -409.3 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 378202-2001 |
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TA405 -409.3 Elasticity | TA405 -409.3 IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials | TA405 -409.3 IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials | TA405 -409.3 Nonlinear Continuum Mechanics and Large Inelastic Deformations | TA405 -409.3 Intermediate Mechanics of Materials | TA405 -409.3 Nonlinear Mechanics of Crystals | TA405 -409.3 Particle-Based Methods |
Preface -- Introduction. Fundamental Axioms of Continuum Mechanics -- 1. Kinematics of Continua -- 2. Balance Laws -- 3. Constitutive Equations -- 4. Relations at Singular Surfaces -- 5. Elastic Continua at Large Deformations -- 6. Continua of the Differential Type -- 7. Viscoelastic Continua at Large Deformations -- 8. Plastic Continua at Large Deformations -- References -- Basic Notation -- Subject Index.
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.
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