Week 2 Flashcards
Forms of deformation
Translation
Rotation
Distortion
Dilation
(Latter two = strain, previous two can occur without strain)
Is ACW +ve or -ve?
+ve
Is compression +ve/-ve
+ve
What is the finite strain ellipsoid?
3 mutually perpendicular axes (3D) and 3 principle planes
X>=Y>=Z
XY, XZ, YZ
What is strain in 1 dimension?
Extension
= (ld-lo)/lo
e(x), e(y), e(z)
= principal longitudinal strain // to x/y/z
Magnitude of strain =
axial ratio (ellipticity, R) of cross section containing X and Z (longest and shortest) axes
R(xz) = X/Z = (1+e(x))/(1+e(z))
Equation of strain ellipsoid
(x/1+e(x))^2 + (y/1+e(y))^2 + (z/1+e(z))^2 = 1
How do you determine the orientation of the strain ellipsoid?
Plunge/azimuth of principle axes
(X = mineral stretching lineation)
Strike/dip/dip direction of principle planes
(XY = foliation/cleavage planes)
Types of strain (+how many dimensions?)
PROLATE (3D)
OBLATE (3D)
PLANE (2D)
PROLATE STRAIN
X > Y = Z
Lineation
L-tectonite
Linear fabric
‘rods’
// to x-axis of FSE
OBLATE STRAIN
X = Y > Z
Foliation/cleavage
S-tectonite
‘sheets’
Planar fabric
// to XY plane of FSE
PLANE STRAIN
X > Y > Z, Y = 1
Foliation and lineation (along foliation planes)
LS-tectonite
Planar and linear fabrics
‘Sheets with lineations on surface’
What is a Flinn plot as a graph?
y-axis = R(xy) = X/Y
x-axis = R(yz) = Y/Z
Goes through the point (1,1)
k = 1
GREATER MAGNITUDES OF STRAIN PLOT FURTHER AWAY FROM ORIGIN
k =
(R(xy)-1) / (R(yz)-1)
Importance of y values in the Flinn plot
Prolate Y < 1 ; k=infinity
Oblate Y > 1; k=0
Plane Y = 1; k=1
Where do different types of strain plot on the Flinn Plot?
Prolate to left of k=1 line
- apparent constriction
- L-tectonite
Plane on the k=1 line
- L-S tectonite
Oblate to the right of the k=1 line
- apparent flattening
- S-tectonite
Volumetric strain equation
/\V= (V(d)-V(o)) / V(o)
Since volume of ellipsoid = 4/3 x pi x (XYZ)
Volume of sphere = 4/3 x pi
/\V = XYZ - 1
= (1+e(x)) (1+e(y)) (1+e(z)) -1