A linear elastic, isotropic epoxy resin with elastic modulus, E=2GPa, and Poisson’s ratio, ν=0.3, is loaded by the following stress state:

Question

σ=⎡⎣10 5 0
5 −20 0
0 0 0⎤⎦MPa

Give numerical values for all strain components in the corresponding strain matrix.

Give a numerical value for the elastic strain energy, U, in the resin in terms of J/m3.

U in ( J/m3):

Answer 1

εx=

εy=

εz=

γyz=

γxz=

γxy

Answer 2

εx=0.008
εy=-0.0115
εz=0.0015
γyz=0
γxz=0
γxy=0.0065
U=171250