Continuum mechanics in the earth sciences / William I. Newman
Imprint
New York : Cambridge University Press, 2012
Descript
xii, 182 p. : ill. ; 26 cm
SUMMARY
Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial tool for professional scientists seeking a better understanding of the mathematics and physics within Earth sciences. -- From back cover
CONTENT
Some mathematical essentials -- Stress principles -- Deformation and motion -- Fundamental law and equations -- Linear elastic solids -- Classical fluids -- Geophysical fluid dynamics -- Computation in continuum mechanics -- Nonlinearity in the Earth
