Buch, Englisch, 193 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1040 g
Fundamental Mathematical and Physical Concepts
Buch, Englisch, 193 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1040 g
ISBN: 978-3-540-66601-1
Verlag: Springer
The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.
