Stress And Deformation : A Handbook On Tensors In Geology [DJVU]

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E-Book Overview

Students of geology who may have only a modest background in mathematics need to become familiar with the theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. This book, based on a course taught by the author at UCLA, can provide the proper introduction. Included throughout the eight chapters are 136 complex problems, advancing from vector algebra in standard and subscript notations, to the mathematical description of finite strain and its compounding and decomposition. Fully worked solutions to the problems make up the largest part of the book. With their help, students can monitor their progress, and geologists will be able to utilize subscript and matrix notations and formulate and solve tensor problems on their own. The book can be successfully used by anyone with some training in calculus and the rudiments of differential equations

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E-Book Information

• Year: 1,996

• City: New York

• Pages: xii, 292 p. : ill

• Pages In File: 305

• Language: English

• Topic: 38

• Library: kolxo3

• Issue: 71

• Identifier: 0-19-509503-0,1423735501,9781423735502,1602560331,9781602560338,9780195095036

• Dpi: 600

• Color: 1

• Cleaned: 1

• Org File Size: 3,986,859

• Extension: djvu

• Tags: Горно-геологическая отрасль Матметоды и моделирование в геологии

• Toc: Content: Symbols and Notation; Chapter 1. Vectors (Problems 1 to 20); Chapter 2. Fields (Problems 21 to 25); Chapter 3. Matter Tensors and Coordinate Transformations (Problems 26 to 75); Chapter 4. Stress (Problems 76 to 97); Chapter 5. Infinitesimal Strain (Problems 98 to 115); Chapter 6. Finite Strain (Problems 116 to 124); Chapter 7. Effects of Stress (Problems 125 to 135); Chapter 8. Strain History and Polar Decomposition (Problem 136); Answers; Summary of Formulæ; Appendix A. Elastic Parameters for Isotropic Bodies; Appendix B. Units of Stress; References; Index; A; B; C; D; E; F; G; H Abstract:

  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. Read more...