Richard W. Allmendinger

Structural Geology Algorithms (eBook, ePUB)

Vectors and Tensors

• Format: ePub

Produktbeschreibung

State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 1. Dezember 2011
• Englisch
• ISBN-13: 9781139207324
• Artikelnr.: 52975191

Autorenporträt

Richard W. Allmendinger is a structural geologist and a professor in the Earth and Atmospheric Sciences Department at Cornell University. He is widely known for his work on thrust tectonics and earthquake geology in South America, where much of his work over the past three decades has been based, as part of the Cornell Andes Project. Professor Allmendinger is the author of more than 100 publications and numerous widely used structural geology programs for Macs and PCs.

Inhaltsangabe

Preface
1. Problem solving in structural geology
2. Coordinate systems, scalars and vectors
3. Transformations of coordinate axes and vectors
4. Matrix operations and indicial notation
5. Tensors
6. Stress
7. Introduction to deformation
8. Infinitesimal strain
9. Finite strain
10. Progressive strain histories and kinematics
11. Velocity description of deformation
12. Error analysis
References
Index.

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Preface; 1. Problem solving in structural geology; 2. Coordinate systems, scalars and vectors; 3. Transformations of coordinate axes and vectors; 4. Matrix operations and indicial notation; 5. Tensors; 6. Stress; 7. Introduction to deformation; 8. Infinitesimal strain; 9. Finite strain; 10. Progressive strain histories and kinematics; 11. Velocity description of deformation; 12. Error analysis; References; Index.

Rezensionen

'I like this book. The material covered, the level of detail and the inclusion of MATLAB scripts make this a timely, relevant and very useful textbook ... [it] will help structural geologists - of all levels - make that critical leap from purely geometrical analyses, through kinematics and into the underlying continuum mechanics of rock deformation. A worthy addition to your bookshelf.' Geological Magazine