Stress and Deformation
A Handbook on Tensors in Geology
Seiten
1996
Oxford University Press Inc (Verlag)
978-0-19-509503-6 (ISBN)
Oxford University Press Inc (Verlag)
978-0-19-509503-6 (ISBN)
This text of problem sets and answers, based on notes for a graduate-level course in structural geology, reviews the mathematics of vectors and of stress and strain, including finite strain.
This book of problem sets and answers, based on notes for a graduate course in structural geology at UCLA, is a review of the mathematics of vectors and of stress and strain, including finite strain. The main purpose of the problem sets is to "Illuminate branches of physics pertinent to geology, including structural geology, glaciology, crystallography, crystal physics, the geophysics of heat flow and others." Students of geology who have only a modest background in mathematics may wish to become familiar with theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. A set of 136 progressively more complex problems is introduced in eight chapters, which advance from vector algebra in standard and subscript notations to the mathematical description of finite strain and its compounding and decomposition. A complete set of fully worked solutions for the problems makes up the largest part of the book. With its help, students, guided by an instructor or self-taught, can avoid pitfalls and monitor their progress. Eventually, geologists who have worked their way through these problems should be able to confidently use the subscript and matrix notations and to formulate and solve tensor problems on their own.
This book of problem sets and answers, based on notes for a graduate course in structural geology at UCLA, is a review of the mathematics of vectors and of stress and strain, including finite strain. The main purpose of the problem sets is to "Illuminate branches of physics pertinent to geology, including structural geology, glaciology, crystallography, crystal physics, the geophysics of heat flow and others." Students of geology who have only a modest background in mathematics may wish to become familiar with theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. A set of 136 progressively more complex problems is introduced in eight chapters, which advance from vector algebra in standard and subscript notations to the mathematical description of finite strain and its compounding and decomposition. A complete set of fully worked solutions for the problems makes up the largest part of the book. With its help, students, guided by an instructor or self-taught, can avoid pitfalls and monitor their progress. Eventually, geologists who have worked their way through these problems should be able to confidently use the subscript and matrix notations and to formulate and solve tensor problems on their own.
1. Vectors ; 2. Fields ; 3. Matter Tensors and Coordinate Transformations ; 4. Stress ; 5. Infinitesimal Strain and Rotation ; 6. Finite Strain ; 7. Effects of Stress ; 8. Strain History and Polar Deomposition ; 9. Summary of Formulae
| Erscheint lt. Verlag | 9.5.1996 |
|---|---|
| Zusatzinfo | line figures |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 164 x 241 mm |
| Gewicht | 585 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Geowissenschaften ► Geologie | |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-19-509503-0 / 0195095030 |
| ISBN-13 | 978-0-19-509503-6 / 9780195095036 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
für Ingenieure und Naturwissenschaftler
Buch | Softcover (2024)
Springer Vieweg (Verlag)
CHF 48,95
Buch | Softcover (2025)
Springer Vieweg (Verlag)
CHF 62,95
Buch | Softcover (2024)
Springer Vieweg (Verlag)
CHF 53,15
