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Question: Continuum Mechanics, Indicial Notation Question

Question:Continuum Mechanics, Indicial Notation Question

Pawan Takhar 52 Maple
July 24 2007
0
I am using the new Physics package for Maple 11 to do indicial calculations for a continuum mechanics problem. I need two sets of coordinates for Lagrangian and Eulerian frames. In Maple, I have defined two sets coordinate (X and Y) each with dimension equal to three. Summation is not performed over the time variable, which is treated differently. If, X is a point in Eulerian frame, it is related to the Lagrangian frame (Y) by: X=X(Y,t) How could I calculate "X[k],K" ? Where the smaller index is in Eulerian coordinates (X), the capital index is in Lagrangian coordinates (Y) and "comma K" (,K) denotes the derivative of X[k] with respect to Y[K]. Could someone show me its implementation using the d_ command. Thanks, Pawan S. Takhar Texas Tech
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