Stress and Deformation
A Handbook on Tensors in Geology
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Product details:
- Publisher OUP USA
- Date of Publication 9 May 1996
- ISBN 9780195095036
- Binding Hardback
- No. of pages304 pages
- Size 241x164x26 mm
- Weight 585 g
- Language English
- Illustrations line figures 0
Categories
Short description:
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."
MoreLong description:
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.
MoreTable of Contents:
Vectors
Fields
Matter Tensors and Coordinate Transformations
Stress
Infinitesimal Strain and Rotation
Finite Strain
Effects of Stress
Strain History and Polar Deomposition
Summary of Formulae
