A displacement field given as ui lambda ijXi where lambda i

A displacement field given as ui = lambda _ijX_i where lambda _ij form a set of constants, is called an affine deformation. If lambda _ij = [0.2 -0.05 -0.1 0.03 0.1 -0.02 0.003 -0.2 0.03] Find the deformation psi(x) Compute the deformation gradient F What is the displacement of a point whose position vector from the fixed point in the undeformed geometry is r = i^cap - j^cap + 3k^cap

Solution

The answer of the following question is as follows

a) The deformation is .3

b)The deformation gradient F is 4.56