Title Developments and novel approaches in nonlinear solid body mechanics / Bilen Emek Abali, Ivan Giorgio, editors

Published Cham : Springer, 2020

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Description 1 online resource (xxiv, 493 pages) : illustrations Series Advanced Structured Materials ; volume 130 Advanced structured materials ; 130. Contents Intro -- Preface -- Contents -- List of Contributors -- Chapter 1 International Conference on Nonlinear Solid Mechanics 2019: General Topics and Review of Plenary Lectures -- 1.1 Why Nonlinear Solid Mechanics Deserves an International Conference? -- 1.2 Plenary Lectures -- 1.2.1 Nonlinear Mechanics of Drilling -- B. Balachandran -- 1.2.2 Surface Elasticity with Applications to Material Modeling at the Nano- and Micro-Scales -- V.A. Eremeyev -- 1.2.3 Ten Years of Global Digital Volume Correlation: What Has Been Achieved? -- F. Hild 1.2.4 Granular Micromechanics: Bridging Grain Interactions and Continuum Descriptions -- A. Misra -- 1.2.5 On Seven- and Twelve-Parameter Shell Finite Elements and Non-Local Theories for Composite Structures -- J.N. Reddy -- 1.2.6 Exploiting Global Dynamics to Unveil the Nonlinear Response and Actual Safety of Systems and Structures -- G. Rega -- 1.2.7 Vibrations of Nonlinear Continua Subject to Combined Harmonic and Stochastic Forces: Linearization Approximations and Monte Carlo Simulations -- P.D. Spanos -- 1.3 Conclusions -- References -- Part I Mathematical Tools for Mechanics Chapter 2 Asymptotic Construction of Solutions of Ordinary Differential Equations with Holomorphic Coefficients in the Neighborhood of an Irregular Singular Point -- References -- Chapter 3 Poincare Problem and Classification of Irregular Singular Points for Linear Differential Equations with Holomorphic Coefficients -- References -- Chapter 4 Behavior of Solutions of the Cauchy Problem and the Mixed Initial Boundary Value Problem for an Inhomogeneous Hyperbolic Equation with Periodic Coefficients -- 4.1 Introduction -- 4.2 Notation and Preliminaries -- 4.3 Main Results -- References Chapter 5 A Soft Embedding Theorem for Soft Topological Spaces -- 5.1 Introduction -- 5.2 Preliminaries -- 5.3 Soft Embedding Theorem -- 5.4 Conclusion -- References -- Chapter 6 The Diffusion-Vortex Problems in Terms of Stresses for Bingham Materials -- 6.1 The Generalized Diffusion of Vortex -- 6.2 Diffusion of Plane Vortex Layer. Extraction of a Plane out of Visco-Plastic Space -- 6.3 Diffusion of Axially Symmetric Vortex Layer. Extraction of a Thread out of Visco-Plastic Space -- 6.4 Diffusion of Vortex Thread -- References Chapter 7 On the Behavior of Solutions of Quasilinear Elliptic Inequalities Near a Boundary Point -- 7.1 Introduction -- 7.2 Estimates of Solutions near a Boundary Point -- References -- Chapter 8 Integrable Dissipative Dynamical Systems with Three and Four Degrees of Freedom -- 8.1 Introduction -- 8.2 Equations of Geodesic Lines -- 8.3 A Fairly General Case -- 8.4 Potential Field of Force -- 8.5 Force Field with Dissipation -- 8.6 Structure of Transcendental First Integrals -- 8.7 Conclusions -- 8.8 Important Example: Case of Four-Dimensional Manifold Summary This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing--for example, 3D printing-- and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials Bibliography Includes bibliographical references Notes 8.8.1 Equations of Motion in a Potential Force Field and First Integrals Print version record Subject Biomechanics -- Congresses Biomedical materials -- Congresses Biomedical materials Biomechanics Building materials Computational complexity Mechanics Mechanics, Applied Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Abali, Bilen Emek Giorgio, Ivan ISBN 9783030504601 3030504603 3030504646 9783030504649

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