Stress and Deformation

Stress and Deformation : A Handbook on Tensors in Geology

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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.show more

Product details

  • Hardback | 304 pages
  • 154 x 232 x 28mm | 621.42g
  • Oxford University Press Inc
  • New York, United States
  • English
  • line figures
  • 0195095030
  • 9780195095036

Review quote

"There is a uniquely useful aspect of Oertel's text that will ensure that most teachers of structural geology and geomechanics will want a copy and perhaps even make it required reading for their courses: the problems."--Eos"The text is excellent for someone with a good math background who wishes to learn continuum mechanics in a rigorous manner or for someone who needs a refresher course. . . .The text is clearly written and concisely reviews matrices and tensors." --GSA Today"This remarkable book, well written and organized, should have broad appeal for geoscientists. . . .What will impress readers is the clarity achieved in presenting difficult mathematical concepts. . . . This book is one of the best written on vector and tensor mathematics."--Journal of Geoscience Educationshow more

Table of contents

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 Formulaeshow more