Structural geology algorithms [electronic resource] : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher.
2012
QE601.3.M38 A45 2012eb
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Title
Structural geology algorithms [electronic resource] : vectors and tensors / Richard W. Allmendinger, Nestor Cardozo, Donald M. Fisher.
ISBN
9781139207416 (electronic bk.)
1139207415 (electronic bk.)
9781107012004
1107012007
9781107401389
1107401380
9781139207379 (electronic bk.)
1139207377 (electronic bk.)
1139207415 (electronic bk.)
9781107012004
1107012007
9781107401389
1107401380
9781139207379 (electronic bk.)
1139207377 (electronic bk.)
Publication Details
Cambridge ; New York : Cambridge University Press, 2012.
Language
English
Description
1 online resource (xi, 289 p.) : ill., maps.
Call Number
QE601.3.M38 A45 2012eb
Dewey Decimal Classification
551.801/5181
Summary
"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"--Provided by publisher.
"Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. This leads to a disconnect between lecture concepts that require a very precise understanding of coor-dinate systems (e.g., tensors) and lab methods that appear to have no common spatial or mathematical foundation. Students have no chance to understand that, for example, seemingly unconnected constructions like down-plunge projections and Mohr circles share a common mathematical heritage: they are both graphical representations of coordinate transformations"--Provided by publisher.
"Structural Geology has been taught, largely unchanged, for the last 50 years or more. The lecture part of most courses introduces students to concepts such as stress and strain, as well as more descriptive material like fault and fold terminology. The lab part of the course usually focuses on practical problem solving, mostly traditional me-thods for describing quantitatively the geometry of structures. While the lecture may introduce advanced concepts such as tensors, the lab commonly trains the student to use a combination of graphical methods like orthographic or spherical projection, as well as a variety of plane trigonometry solutions to various problems. This leads to a disconnect between lecture concepts that require a very precise understanding of coor-dinate systems (e.g., tensors) and lab methods that appear to have no common spatial or mathematical foundation. Students have no chance to understand that, for example, seemingly unconnected constructions like down-plunge projections and Mohr circles share a common mathematical heritage: they are both graphical representations of coordinate transformations"--Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Cardozo, Nestor.
Fisher, Donald M.
Fisher, Donald M.
Available in Other Form
Structural geology algorithms.
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Table of Contents
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.
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.