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When is strong and when is weak by using extended finite element method?

As we know, the extended finite element method has been well used to simulate the localization band propagation and crack propagation without remeshing. It can deal with both strong discontinuity problems (displacement discontinuity) and weak discontinuity problems (strain or acceleration discontinuity). Now, I have always a question: when is strong and when is weak discontinuity using XFEM? In other words, what is the difference for the interpolation function and level set function or other function between strong and weak discontinuity? Thanks.

Liu pengfei

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

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?

Research on the plasticity/damage coupling model using continuum damage mechanics

Currently, i am now attempting to establish a plasticity/damage coupling model using continuum damage mechanics for complex metal structures such as steel pressure vessel, which can be implemented using finite element analysis. The model can predict the progressive failure and damage evolution as well as the crack initiation and propogation due to large plastic deformation of metal structures. Who can give me some suggestion or idea?

Can the arc-length algorithm for simulating the plastic collapse of solid structures converge using ANSYS ?

For complex composite structures, I have never succeeded in finding the parameter configuration which can reach the convergence using ANSYS. Who can give me some instruction?

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