Computational Homogenization of Heterogeneous Materials with Finite Elements (eBook)

Julien Yvonnet (Autor)

eBook Download: PDF

2019 | 1st ed. 2019
XVI, 223 Seiten
Springer International Publishing (Verlag)
978-3-030-18383-7 (ISBN)

Infos

This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.​

Produkt-Details

• Erscheint lt. Verlag: 11.6.2019
• Reihe/Serie: Solid Mechanics and Its Applications
• Reihe/Serie: Solid Mechanics and Its Applications
• Zusatzinfo: XVI, 221 p. 103 illus., 74 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: finite elements • heterogeneous materials • homogenization • Homogenization simulation • Linear phenomena • multiscale • out-of plane properties in 2D problem • periodic boundary conditions in FEM • Representative volume element • strain gradient homogenization • Virtual materials
• ISBN-10: 3-030-18383-1 / 3030183831
• ISBN-13: 978-3-030-18383-7 / 9783030183837