Computational reality : solving nonlinear and coupled problems in continuum mechanics
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 eng...
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| Main Author | |
|---|---|
| Format | Electronic eBook |
| Language | English |
| Published |
Singapore :
Springer,
2016.
|
| Series | Advanced structured materials ;
volume 55. |
| Subjects | |
| Online Access | Full text |
| ISBN | 9789811024443 9789811024436 |
| ISSN | 1869-8433 ; |
| Physical Description | 1 online resource |
Cover
Table of 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.