Transformation of Strains in 3D Problems

Calculates strain tensor along new direction in 3D problems

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

function E2=Transformation_Strain_3D(E1,T)

Input:

E1: Strain tensor with the following notation

E1=[epsilon_xx gamma_xy/2 gamma_xz/2;

gamma_xy/2 epsilon_yy gamma_yz/2;

gamma_xz/2 gamma_yz/2 epsilon_zz];

Total shear strain is divided by two to convert it to average shear strain

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:

E2: Strain tensor in the new coordinate system