Hi all,
I am looking for a general definition of the derivative of a tenorial product (e.g. when the expression for Stress contains nonlinear terms in deformation gradient, F ).
I start with a very simple example:
∂F_pq/∂F_mn = δ_pm δ_qn , i.e. Kronecker delta with first index of F_pq and first index of F_mn, and second Kronecker delta for second pair of indices q & n.
However the problem arises when we have a product of two or more tensors. Is the following (using chain rule) a valid derivative?
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Thanks,
Prithivi
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Can anyone suggest a time integration scheme for non constant mass (M), stiffness(K) and damping (C) matrices? I am trying to solve a dynamic system (Ma+Cv+Ku=R) where the matrices M,C and K are time dependent.
Any thoughts/ideas will be highly aprreciated. Thank you.
