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How to integrate with 6 tying points (TP) for transverse shear and 4 TP for in-plane shear, in case of Assumed Natural Strain?

Hi Experts,

I am presently working with a 9-node shell element and understood that there were many rigid body modes available even with reduced integration.

Thus, I am planning to implement Assumed Natural Strain and found out that there will be 6 integration points for transverse shear strains gamma_xz and gamma_yz and  nominal strain while there are only 4 typing points in-plane shear strain.

Attached Images
(1)  ANS Strain integration, (2) Tying points

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Arc Length Continuation method fails at low arc length values.

I have implemented a Arc length continuation method for material non-linearity. The program quits with low arc length values while it progresses well for high arc length values. I am attaching a png image for your understating  about the nature of the force deformation curve. Can you please clarify me about the problem and provide me any suggestions on it.

Thanks in advance.

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