Title Generalized models and non-classical approaches in complex materials 2 / Holm Altenbach, Joël Pouget, Martine Rousseau, Bernard Collet, Thomas Michelitsch, editors

Published Cham, Switzerland : Springer, 2018

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Description 1 online resource Series Advanced structured materials ; volume 90 Advanced structured materials ; 90. Contents Intro; Preface; Contents; Contributors; 1 Damping in Materials and Structures: An Overview; Abstract; 1.1 Introduction; 1.2 Mechanisms of Energy Dissipation; 1.2.1 Macroscopic Approach; 1.2.1.1 Viscous Dissipation; 1.2.1.2 Friction Dissipation; 1.2.1.3 Magneto-Mechanic Dissipation; 1.2.1.4 Electro-Mechanic Dissipation; 1.2.1.5 Plastic Dissipation; 1.2.2 Microscopic Approach; 1.2.2.1 Atomic Scale Approach; 1.2.2.2 Molecular Scale Approach; 1.2.2.3 Mesoscopic Scale Approach; 1.3 Modelling Energy Dissipation; 1.3.1 Internal Forces; 1.3.2 Work of Internal Forces: Cycling 1.3.3 Viscous Dissipation1.3.3.1 Linear Behavior of the Phenomenon; Discrete Bi-parametric Model (Like Voigt Model); Continuous Multi-parametric Model (Prony Series); 1.3.3.2 Non-linear Behavior of the Phenomenon; Schapery Model; Valanis-Landel Model; Frechet-Volterra Series Model; Linearization of the Phenomenon; 1.3.4 Friction Dissipation; 1.3.4.1 Coulomb's Friction Modelling; 1.3.4.2 Tresca's Friction Modelling; 1.3.4.3 Dahl's Friction Modelling; 1.3.4.4 Micro-friction; 1.4 Conclusion; References 2 The Principle of Virtual Power (PVP): Application to Complex Media, Extension to Gauge and Scale Invariances, and Fundamental AspectsAbstract; 2.1 First Part; 2.1.1 Complex Media: Modeling of the Different Continua; 2.1.2 Thermo-Electro-Magneto-Mechanical Equations; 2.1.2.1 General Principles in Global Form; 2.1.2.2 Local Electro-Magneto-Mechanical Balance Equations; 2.1.2.3 Local Thermodynamical Equations; 2.1.3 Clausius-Duhem Inequality; 2.2 Second Part; 2.2.1 Extension of the PVP to Gauge and Scale Invariances; 2.2.2 Extended form of d'Alembert's Principle; 2.2.3 Unified Global Statement 2.2.4 Derivation of Scale, Gauge and Rotational Invariances2.2.5 Local Equations; 2.2.6 Relativistic Framework; 2.3 Third Part; 2.3.1 Foundation of the Principle of Virtual Power (PVP); 2.3.2 Main Points of the Leibnizian Dynamical Framework; 2.3.3 Determination of the Yet Under-Determinate Framework; 2.3.4 Deduction of the PVP Based on Duality; 2.3.5 Derivation of Einstein's Dynamics; Acknowledgements; References; 3 The Limitations and Successes of Concurrent Dynamic Multiscale Modeling Methods at the Mesoscale; Abstract; 3.1 Introduction; 3.2 Review of Dynamic Multiscale Methods 3.2.1 Coupled Atomistic and Discrete Dislocation Dynamics3.2.2 Coupled Extended Finite Element Method; 3.2.3 Concurrent Atomistic Continuum Method; 3.2.4 The Hot Quasi-Continuum Method; 3.2.5 The Atomistic to Continuum Method; 3.3 Analysis; 3.3.1 Modeling Materials Beyond Monoatomic Crystals; 3.3.2 Modeling of Defects and Waves; 3.4 Conclusions; Acknowledgements; References; 4 Modeling Semiconductor Crystal Growth Under Electromagnetic Fields; Abstract; 4.1 Introduction; 4.1.1 Liquid Phase Electroepitaxy; 4.1.2 Traveling Heater Method Summary This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions Notes Online resource; title from PDF title page (EBSCO, viewed July 2, 2018) Subject Maugin, G. A. (Gérard A.), 1944- Materials -- Mechanical properties. Continuum mechanics. Testing of materials. Mechanical engineering & materials. TECHNOLOGY & ENGINEERING -- Engineering (General) TECHNOLOGY & ENGINEERING -- Reference. Continuum mechanics Materials -- Mechanical properties Genre/Form Festschriften Festschriften. Form Electronic book Author Altenbach, Holm, 1956- editor. Pouget, Joël, editor Rousseau, Martine, editor. Collet, Bernard, editor Michelitsch, Thomas, editor ISBN 9783319775043 3319775049 9783319775050 3319775057 9783030084714 303008471X

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