meshfree methods

Sir,

Namaskar,

Finally by your kind guidance the meshfree shape function derivatives could be successfully plotted. I hope that these are Correct. Please comment. At the stage when I was stuck with NaN problem, my eyes were opened by Ettore barbieri Sir, which made me to think again on moment matrix, at same time I was guided by Alejandro A. Ortiz Sir to share my problems by blog entries with everyone on iMECHANICA.

I attach here the plots, obtained with Linear basis, 1D, MLS approximation, Quartic spline weight function, TEN nodes and di=0.6, Domain=2m, for meshfree analysis of shaft under axial pull.

Sir, now please guide me for the process of incorporating these into the weak form of governing differential Equation with Lagrange multiplier. Where to find the concerned material in easy to understand & lucid form?

Since I have Ten nodes, I think that I am supposed to get Ten equations to integrate. Each for every shape function at every node, to evaluate the displacement of every node. Please HELP.

 

 

Yours sincerely

Jeetender Singh Kushawaha

k.jitendrasingh@yahoo.com


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final_derivative_shape.pdf16.89 KB