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Geometric Nonlinear FEM

Need to know information about Hermite cubics & shape function

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I am doing my research in nonlinear vibration of beams. In that research, I have to derive the shape function for different end conditions of the beam. Regarding this,I need some ideas. Are there books I can reference?

Regarding my research work, I need to know about hermite cubics in Fem. Can any one suggest a book regarding this?

Displacement Controlled Geometric Nonlinear FEM

Hi I am working on numerical simulation of petroleum pipeline subjected to
seismic hazards. I have developed Geo-Nonlinear FEM code for load
controlled which i have compered with Ansys and it is working fine.
now i would like to apply fault  displacement for this i need to
convert my code to displacement controlled using penalty approach
but it is not converging. i will be very happy if any one can suggest
how i can over come this problem or plz sugest me some book or papre. here I am using Newton-Raphson method 

 

thanking you

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