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convergence stiffness matrix finite element analysis

How to explain the limit load by stiffness matrix using finite element analysis?

Submitted by pfliu@zju.edu.cn on

I always have a question about the convergence problem: when a structure reaches its maximum load-bearing ability, the solution will end if the newton method is used in the finite element analysis. Then which form the stiffness stiffness in the finite element analysis takes on?  Singular or ill-conditioning?  How to explain the appearance of maximum load by variable stiffness matrix?