Given the following homogeneous biaxial deformation: x1 = s1X1 + 1 X2; x2 = s2 X2 + 2 X1; x3 = s3 X3 where X and x are the position of the material particles in the reference and deformed states, respectively, and si and i are the stretch ratios and in-plane shear components. 1. Determine the deformation gradient tensor F. 2. Determine the components of the in-plane Green's strain tensor . 3. Assuming equal biaxial test with 11 = 22 = 0:01 and volume increases by 0:5%, determine s1; s2; s3; k1; k2. 4. For the equibiaxial test, T11 = T22 = 10kPa. Assuming an isotropic Hookean elastic solid, what are the Lame constants ; ? 5. What are the technical constants E; ?