# rheology - I Continuum Models of Material Behavior A...

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122 I. Continuum Models of Material Behavior A. Continua: assumption that rocks behave as cohesive mechanical units, averaging out effects of local anisotropies and polycrystalline nature B. Rheological Models for Rock 1. Elastic Behavior a. linear elastic behavior: material deforms by an amount proportional to the applied stress (1) when stress is released, material strain recovers to original undeformed state (2) Young's Relations (a) Stress = E(strain) b. Similar to Hooke's law for a spring (ideal elastic) (1) Force = k(spring displacement) c. Stress-strain diagram (1) normal stress on y axis (2) lengtening or shortening strain on x axis (3) true elastic solid: linear relationship 2. Viscous Behavior a. example fluid behavior (1) stress applied to fluid: fluid deformation (motion) (a) remove stress, fluid stops, but does not recover to initial state b. Viscous behavior: nonrecoverable strain (1) Newtonian fluid (a) linear relation between stress and strain rate (b) > stress, > rate of strain (dx/dt) (c) Newtonian stress-strain diagram i) stress = y-axis ii)

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