Maxstress: Maximum Stress

In geophys: Geophysics, Continuum Mechanics, Gravity Modeling

Description

Maximum Normal and Shear stress in a plane

Usage

Maxstress(NN, Stensor)

Arguments

NN	Normal Vector
Stensor	Stress tensor

Details

Stress tensor can be entered as a vector of 3 or six values or as a 3 by 3 matrix. If three values are provided provided they are assumed to be the principal stresses. If six values are provided, they are c(x11, x12, x13, x22, x33). In either case eigen values and eigen vectors are calculated and used in the following analysis.

Value

NN	Normal vector to plane is returned
sigNORMmax	maximum normal stress
tauSHEARmax	maximum shear stress in the plane

Author(s)

Jonathan M. Lees<[e-mail]>

See Also

stress

Examples

  S = stressSETUP( )

Nvec = NORMvec(S$PPs, S$xscale, S$Rview, S$aglyph , add = FALSE)

Stensor = matrix(c(
15, 0, 0,
0, 8, 0,
0,  0, 5), ncol=3)

 

Mstress  = Maxstress(Nvec, Stensor)

DoMohr(Stensor)
 axis(1)
axis(2)


points(Mstress$sigNORMmax , Mstress$tauSHEARmax, pch=21, col='blue'  , bg='gold' )

u=par('usr')

segments(0, Mstress$tauSHEARmax, Mstress$sigNORMmax ,
Mstress$tauSHEARmax, lty=2, col='green'  )

text(mean(c(0, Mstress$tauSHEARmax)),  Mstress$tauSHEARmax,
"MaxShear in Plane", pos=3)


segments(Mstress$sigNORMmax , u[3] , Mstress$sigNORMmax ,
Mstress$tauSHEARmax, lty=2, col='purple'  )

text(Mstress$sigNORMmax , u[3], "MaxNormal stress", adj=c(0,-1) )

geophys documentation built on May 1, 2019, 9:26 p.m.