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Rheology: “science of deformation and flow of matter” or relationship between stress and strain

Rheology: “science of deformation and flow of matter” or relationship between stress and strain. Idealized Elastic Material. Linear relationship between force and extension (Hooke, 1676): C e I I I n o s s s t t u u Ut tensio sic uis As extension so the force. s a = f/A e a = (b-B)/B

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Rheology: “science of deformation and flow of matter” or relationship between stress and strain

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  1. Rheology: “science of deformation and flow of matter”orrelationship between stress and strain GLG510 Advanced Structural Geology

  2. Idealized Elastic Material • Linear relationship between force and extension (Hooke, 1676): • C e I I I n o s s s t t u u • Ut tensio sic uis • As extension so the force GLG510 Advanced Structural Geology

  3. sa = f/A ea = (b-B)/B sp = 0 ep = (w-W)/W n = - ep / ea (Poisson ratio) Measures compressibility GLG510 Advanced Structural Geology

  4. E (young’s modulus) = d sa/d ea Units of stress GLG510 Advanced Structural Geology

  5. Idealized Elastic Material GLG510 Advanced Structural Geology

  6. 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. Strenght 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) GLG510 Advanced Structural Geology

  7. Plasticity • Steady deformation at yield strength -Davis and Reynolds GLG510 Advanced Structural Geology

  8. Viscosity • Strain rate proportional to differential stress -Davis and Reynolds GLG510 Advanced Structural Geology

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