1.

Record Nr.

UNINA9910135971603321

Autore

Abali Bilen Emek

Titolo

Computational reality [[electronic resource] ] : solving nonlinear and coupled problems in continuum mechanics / / by Bilen Emek Abali

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

9789811024443

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVII, 308 p. 48 illus. in color.)

Collana

Advanced Structured Materials, , 1869-8433 ; ; 55

Disciplina

531.015118

Soggetti

Mechanics

Mechanics, Applied

Computer mathematics

Numerical analysis

Materials science

Solid Mechanics

Computational Science and Engineering

Numeric Computing

Characterization and Evaluation of Materials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Preliminaries -- Mechanics -- Thermodynamics -- Electromagnetic interaction -- Appendix.

Sommario/riassunto

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.