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s d is differential stress -Engelder, 1993, Stress regimes in the lithosphere, Princeton Univ. Press. Rheology: “science of deformation and flow of matter” or relationship between stress and strain. http://www.see.leeds.ac.uk/structure/rheology/hooke.htm. Idealized Elastic Material.
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sd is differential stress -Engelder, 1993, Stress regimes in the lithosphere, Princeton Univ. Press GLG310 Structural Geology
Rheology: “science of deformation and flow of matter”orrelationship between stress and strain GLG510 Advanced Structural Geology
http://www.see.leeds.ac.uk/structure/rheology/hooke.htm Idealized Elastic Material Linear relationship between force and extension (Hooke, 1676): • Uttensio sic uis • As extension so the force • Analogous to spring constant
E (young’s modulus) = d sa/d ea Units of stress GLG510 Advanced Structural Geology -Pollard and Fletcher, 2005
http://silver.neep.wisc.edu/~lakes/PoissonIntro.html GLG310 Structural Geology
Axial versus transverse deformation sa = f/A ea = (b-B)/B sp = 0 ep = (w-W)/W n = - ep / ea (Poisson ratio) Measures compressibility GLG510 Advanced Structural Geology
Stiffness and strength “Lest there be any possible, probably, shadow of doubt, strength is not, repeat not, the same thing as stiffness. Stiffness, or Young’s modulus or E, is concerned with how stiff, flexible, springy or floppy a material is. Strength is the force or stress needed to break a thing. A biscuit is stiff but weak, steel is stiff and strong, nylon is flexible (low E and strong), raspberry jelly is flexible (low E) and weak. The two properties together describe a solid about as well as you can reasonably expect two figures to do.” (Gordon, New science of strong materials, 2006) GLG510 Advanced Structural Geology
Plasticity • Steady deformation at yield strength
Plasticity • Steady deformation at yield strength
Viscosity • Strain rate proportional to differential stress GLG510 Advanced Structural Geology
Variations in mechanical behavior http://www.youtube.com/watch?v=GxdfoJoWNE4 GLG310 Structural Geology
Rock deformation experiments GLG310 Structural Geology
http://www.youtube.com/watch?v=n4ZAb-p-dIw GLG310 Structural Geology
Rocks can flow: salt ascends through overlying sediments because it is bouyant http://maydamedia.com/Images/Chapter11/Chart11.1.jpg