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54 Cards in this Set

  • Front
  • Back

body forces

act on every point within a body


(GRAVITY- F=mg

surface forces

act of a specific surface in a body


(tectonic plates sliding past each other)

force

that which changes, or tends to change, body motion, a push or a pull



lithostatic stress

the stress at the base of a column of rock

surface stress

a pair of equal and opposite tractions action across a surface of specified orientation

traction

the measurement of force intensity

stress

descriptions of tractions at a given point on all possible surfaces going through a point


What is the goal of stress analysis?

to determine the normal and shear stresses on any plane of any orientation, given the direction and magnitude of the principal stresses

The Mohr Circle

a complete representation of the stress at a point. each point on the circle represents the surface stress on a different plane

pore fluid pressure

serves to decrease confining pressure

effective stress

confining pressure-fluid pressure

differential stress

diameter of circle


causes distortion

mean normal stress

center of circle


causes dilation

deviatoric stress

radius of circle


causes distortion

hydrostatic

equal stress magnitude in all directions

Byerlee's Law

shear stress (τ) required to slide one rock over another

Coulomb's Law

the straight line approximation to the shear fracture envelope

free surface

contact between rock and atmosphere

Anderson's Theory of Faulting

relationship between orientation of principle stresses and ideal fault types

elastic

spring like

viscous

like a fluid-the smallest stress will deform it

plastic

will not deform until yield stress is exceeded

rheology

the study of mechanical properties of materials

Poisson's Ratio(v)

degree to which a material bulges as it shortens.

Shear modulus(mu)

resistance to shearing

bulk modulus(K)

resistance to volume change (compressibility)

Deformation is strongly dependent on:

lithology


temperature


strain rate


fluids

strain hardening

a) more stress is required to maintain strain rate


b) the material gets harder to deform

fault creep

slow, gradual displacement(motion)


-results in small magnitude earthquakes



stick-slip

fault stays "locked" storing up elastic energy, then suddenly slips, releasing the stored energy


-results in large magnitude earthquakes



strain hardening

a) less stress is required to maintain strain rate


b) the material gets easier to deform

kinematic analysis

reconstruction of movements that take place during the formation and deformation of rocks at all scales

translation

change in position

rotation

change in orientation

distortion

change in shape

dilation

change in size

pure translation

all points more along parallel paths

strain

the change in size and shape that a body has experienced during deformation


-involves distortion and dilation



homogeneous deformation

systematic and uniform

linear strain

a change in length parallel to a given coordinate

angular shear

change in angle between two initially perpendicular lines

state of strain

the net result of all the deformations the body has undergone

shear strain

the change in angle between a radius and the tangent to the ellipse

plane strain

S1 is compensated by S3 so that there is no change in S2 and no change in volume

triaxial strain

all three axis are deformed

uniaxial strain

only one principle axis has been deformed

coaxial strain

principle finite stretching directions have the same orientation before and after deformation (pure shear)

noncoaxial strain

principle finite stretching axes do not remain fixed in orientation during deformation (simple shear)

pure shear

rock is shortened in one direction and extended in the perpendicular direction. A square becomes a rectangle

simple shear

rock is sheared like a deck of cards. A square becomes parallelogram

instantaneous strain

tiny increments of deformation

progressive strain

motion of an object through deformation path

strain path

strain states through which a body passes during progressive deformation

strain rate

extension(e) divided by time(t) = e/t