Title Computational reality : solving nonlinear and coupled problems in continuum mechanics / Bilen Emek Abali

Published Singapore : Springer, 2016

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Description 1 online resource Series Advanced structured materials, 1869-8433 ; volume 55 Advanced structured materials ; volume 55. Contents Preface; Contents; Acronyms; Latin Symbols; Greek Symbols; Script and Calligraphic Symbols; Introduction; References; 1 Mechanics; 1.1 Linear Elastostatics; 1.2 Nonlinear Elastostatics; 1.3 Hyperelastic Materials in Statics; 1.4 Linear Rheology; 1.5 Fractional Rheological Materials; 1.6 Associated Plasticity; 1.6.1 Isotropic Hardening; 1.6.2 Kinematic Hardening; 1.7 Linear Viscous Fluids; 1.8 Nonlinear Viscous Fluids; 1.9 Fluid Structure Interaction; References; 2 Thermodynamics; 2.1 Temperature Distribution in Macromechanics; 2.2 Heat Transfer in Micromechanics 2.3 Thermodynamics in a Nutshell2.4 Thermoviscoelasticity; 2.5 Thermoplasticity; References; 3 Electromagnetism; 3.1 Conducting Wire; 3.2 Polarized Materials; 3.2.1 Capacitor Simulation; 3.2.2 Transformer Simulation; 3.2.3 Proximity and Skin Effects; 3.3 Thermoelectric Coupling; 3.4 Plastic Fatigue in a Circuit Board; 3.5 Piezoelectric Transducer; 3.6 Magnetohydrodynamics in Metal Smelting; References; Appendix ; A.1 Quick Introduction to Programming; A.2 Solvers in FEniCS; A.3 Complicated Geometries in FEniCS; A.4 Objective Time Rate of Strain Tensor; A.5 Time Discretization A.6 Gauge Freedom in Electromagnetic FieldsReference; Index Summary This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (EBSCO, viewed November 1, 2016) Subject Continuum mechanics -- Mathematical models Continuum mechanics -- Data processing SCIENCE -- Mechanics -- General. SCIENCE -- Mechanics -- Solids. Continuum mechanics -- Data processing Continuum mechanics -- Mathematical models Form Electronic book ISBN 9789811024443 9811024448

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