Geomechanics References I. General References Continuum Mechanics, General Elasticity Plasticity Viscoelasticity Heat Conduction: II. Mechanical Properties of Lithosphere Stress and Strain Stability of lithosphere to buckling Deflection of Lithosphere under a line load: Hawaii Flexure at oceanic trenches - elastic Flexure at oceanic trenches - plastic Flexure at oceanic trenches - seasat, viscous, viscoelastic III. Fractals and Geology General information on fractals Fractals and geology I. General References Continuum Mechanics, General Fung, Y. C., A First Course in Continuum Mechanics. Good, basic book on continuum mechanics. Not much on specific topics of elasticity, fluid mechanics, etc. Jeffreys, H., Cartesian Tensors. Small paperback, good if you're really into tensors (and who isn't?). Block, H. D., Tensor Analysis. Similar to Jeffreys' book. Jaeger, Elasticity, Fracture and Flow. Excellent basic description of these processes. Jaeger and Cook, Fundamentals of Rock Mechanics. Obviously an "applied" book. Sommerfeld, Mechanics of Deformable Bodies. Relatively cheap, readable paperback. Ranalli, Rheology of the Earth. Elasticity Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity. A classic. It was $5 when I bought it (which tells you something); it is still a bargain. (A Dover paperback.) Landau and Lifshitz, Theory of Elasticity. The L&L series is very rigorous (i.e., it will knock your socks off!) Timoshenko -- author and coauthor of several engineering-type elasticity books, including a couple on plates and shells. Plasticity Kachanov, L. M., Fundamentals of the Theory of Plasticity. Prager and Hodge, Theory of Perfectly Plastic Solids. Viscoelasticity Christensen, R. M., Theory of Viscoelasticity. Advanced book -- gives little physical insight. Flugge, Viscoelasticity (?) Better introduction to viscoelasticity than above. Heat Conduction: Carslaw and Jaeger, Conduction of Heat in Solids. Virtually all you might want to know about classical heat conduction theory and methods of solving the heat-conduction equation. Still the standard reference text for heat-conduction problems. II. Mechanical Properties of Lithosphere Stress and Strain Haxby, W. F. and D. L. Turcotte, 1976, Stresses induced by the addition or removal of overburden and associated thermal effects, Geology, 181-184 Stability of lithosphere to buckling Smoluchowski, 1909, Bull. Inst. Acad. Sci. Krakau, Part 2, 3 Goldstein, 1926, Proc. Camb. Phil. Soc., 23, 120 Deflection of Lithosphere under a line load: Hawaii Gunn, R., 1943, J. Franklin Inst., 236, 371 Walcott, R.I., 1970, Tectonophysics, 9, 435 Watts, A. B. and N. M. Ribe, 1984, On geoid heights and flexure of the lithosphere at seamounts, J. Geophys. Res., 89, 11512-11170 Watts, A. B., and Cochran, J. R., 1974, Gravity anomalies and flexure of the lithosphere along the Hawaiian-Emperor Seamount Chain, Geophys. J. Roy. Astron. Soc. 38, 119-141 Watts, A. B., 1978, An analysis of isostasy in the world's oceans, l, Hawaiian-Emperor Seamount Chain, J. Geophys. Res., 83, 5989-6004 Watts, A. B. and U. S. ten Brink, 1989, Crustal structure, flexure, and subsidence history of the Hawaiian Islands, J. Geophys. Res., 94, 10,473-10,500 Flexure at oceanic trenches - elastic Walcott, R.I., 1970, J. Geophys. Res., 75, 3941 Hanks, T. C., 1971, The Kuril Trench-Hokkaido Rise System: Large shallow earthquakes and simple models of deformation, Geophys. J. Roy. Astron. Soc. 23, 173-189 Watts, A. B. and M. Talwani, Geophys. J., 36, 57, 1974 Caldwell, J. G., Haxby, W. F., Karig, D. E., and Turcotte, D. L., 1976, On the applicability of a universal elastic trench profile, Earth Planet. Sci. Letters, 31, 239-246 Flexure at oceanic trenches - plastic McAdoo, D. C., J. G. Caldwell and D. L. Turcotte, 1978, On the elastic-perfectly plastic bending of the lithosphere under generalized loading with application to the Kuril Trench, Geophys. J. Roy. Astron. Soc., 54, 11-26 Turcotte, D. L., D. C. McAdoo and J. G. Caldwell, 1978, An elastic-perfectly plastic analysis of the bending of the lithosphere at a trench, Tectonophysics, 47, 193-205 Caldwell, J. G. and D. L. Turcotte, 1979, Dependence of the thickness of the elastic lithosphere on age, J. Geophys. Res., 84, 7572-7576 Bodine, Steckler and Watts, 1981, J. Geophys. Res., 86, 3695-3707 Flexure at oceanic trenches - seasat, viscous, viscoelastic McAdoo, D. C. and Martin, C. F., 1984, Seasat observations of lithospheric flexure seaward of trenches, J. Geophys. Res. 89, 3201-3210 De Bremaecker, J.-C., 1977, J. Geophys. Res., 82, 2001 Melosh, H. J., 1978, Geophys. Res. Letters, 5, 5321 III. Fractals and Geology General information on fractals Mandelbrot, Benoit, 1967, How long is the coast of Britain? Statistical self-similarity and fractional dimension, Science, 156, 636-8. Mandelbrot, Benoit, 1982, The Fractal Geometry of Nature, Freeman. By the IBM research who literally created the mathematical subdiscipline of fractals. Peitgen, Heinz-Otto and Dietmar Saupe, editors, 1988, The Science of Fractal Images, Springer-Verlag, 312 pp. Peitgen, Heinz-Otto, 1986, The Beauty of Fractals : images of complex dynamical systems, 199 pp. Fractals and geology Turcotte, Donald L., 1992, Fractals and Chaos in Geology and Geophysics, Cambridge Press, 221 pp. This will be our "text" for fractals. Barton, Christopher C. and Paul R. La Pointe, eds., 1995, Fractals in the Earth Sciences, Plenum Press, 265 pp. Middleton, Gerard V., ed., 1991, Nonlinear Dynamics, Chaos and Fractals, with Applications to Geological Systems, Geol. Assoc. of Canada Short Course Notes, Vol. 9.