Transformation of Stresses in 3D Problems

Calculates stress tensor along new direction in 3D problems

Calculates stress tensor along new direction in 3D problems with variables notation provided.

function S2=Transformation_3D(S1,T)

Input:

S1: Stress tensor with the following notation

S1=[sigma_xx sigma_xy sigma_xz;

sigma_xy sigma_yy sigma_yz;

sigma_xz sigma_yz sigma_zz];

T: Transformation matrix with the following notation

T=[l1 l2 l3;

m1 m2 m3;

n1 n2 n3];

where l1,m1,n1 are the direction cosines for new coordinate X with old x,y and x directions

where l2,m2,n2 are the direction cosines for new coordinate Y with old x,y and x directions

where l3,m3,n3 are the direction cosines for new coordinate Z with old x,y and x directions

Output:

S2: Stress tensor in the new coordinate system