Continuum Mechanics using Mathematica®

Fundamentals, Methods, and Applications
2. Auflage 2014
ISBN: 978-1-4939-1603-0
Verlag: Springer

Buch, Englisch, 480 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 9529 g

Reihe: Modeling and Simulation in Science, Engineering and Technology

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Zielgruppe

Graduate

Autoren/Hrsg.

Marasco, Addolorata

Romano, Antonio

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra

Inhaltsverzeichnis

1. Elements of Linear Algebra.- 2. Vector Analysis.- 3. Finite and Infinitesimal Deformations.- 4. Kinematics.- 5. Balance Equations.- 6. Constitutive Equations.- 7. Symmetry Groups: Solids and Fluids.- Wave Propagation.- 8. Fluid Mechanics.- 9. Linear Elasticity.- 10. Other Approaches to Thermodynamics.- 11. Fluid Dynamics and Meteorology.- 12. Fluid Dynamics and Ship Motion.- Appendix. A Brief Introduction to Weak Solutions.- Index.

Über Autor(innen)

Antonio Romano has been the author or co-author of numerous books on mechanics and Mathematica and he has taught courses in mechanics for 35 years at "Il Fredrico" University in Naples. Addolorata Marasco is a Professor of Mathematics at the University of Naples Federico II, Italy. She received her PhD in 2003 in Applied Mathematics and Informatics.