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Structural geology algorithms vectors and tensors

Richard Waldron Allmendinger Nestor Cardozo; Donald M Fisher

Cambridge Cambridge University Press New York 2012

Localização: IGC - Instituto de Geociências    (551.80151 A439s )(Acessar)

  • Título:
    Structural geology algorithms vectors and tensors
  • Autor: Richard Waldron Allmendinger
  • Nestor Cardozo; Donald M Fisher
  • Assuntos: Geology, Structural -- Mathematics; Rock deformation -- Mathematical models; Mathematisches Modell; Strukturgeologie; GEOLOGIA ESTRUTURAL (MODELOS MATEMÁTICOS); ALGORITMOS; VETORES; TENSORES
  • Notas: Includes bibliographical references (pages 281-285) and index.
  • Descrição: Machine generated contents note: 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.
    "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"--
    "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"--
  • Editor: Cambridge Cambridge University Press New York
  • Data de criação/publicação: 2012
  • Formato: xi, 289 pages illustrations, maps 26 cm.
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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