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The augmented Lagrangian method is an iterative series of penalty updates to find the exact Lagrange multipliers i. Compared to the penalty method, the augmented Lagrangian method usually leads to better conditioning and is less sensitive to the magnitude of the contact stiffness coefficient.
However, in some analyses, the augmented Lagrangian method may require additional iterations, especially if the deformed mesh becomes too distorted. FTOLN is a factor based on the thickness of the element which specifies an allowable maximum penetration for the augmented Lagrangian method.
If ANSYS detects any penetration larger than this tolerance, the global solution is still considered unconverged, even though the residual forces and displacement increments have met convergence criteria.
You can change this value, but be aware that making the tolerance too small can cause an excessive number of iterations or non-convergence. The amount of penetration between the two surfaces depends on this stiffness.
Higher stiffness values decrease the amount of penetration but can lead to ill-conditioning of the global stiffness matrix and to convergence difficulties. Ideally, you want a high enough stiffness that contact penetration is acceptably small, but a low enough stiffness that the problem will be well-behaved in terms of convergence or matrix ill-conditioning.
ANSYS estimates a default value for contact stiffness based on the material properties of the underlying deformable elements. You can use the real constant FKN to specify either a scaling factor or an absolute value for contact stiffness.
The scaling factor will usually be between 0. You should always verify your choice in order to minimize penetration while avoiding excessive iterations.
They can also be adjusted in a restart run. Determining a good stiffness value may require some experimentation on your part. To arrive at a good stiffness value, you can try the following procedure as a "trial run. Use a low value to start. In general, it's better to underestimate this value rather than overestimate it.
Penetration problems resulting from a low stiffness are easier to fix than convergence difficulties that arise from a high stiffness. Run the analysis up to a fraction of the final load just enough to get the contact fully established.
Check the penetration and the number of equilibrium iterations used in each substep. If the global convergence difficulty is caused by too much penetration rather than by residual forces and displacement incrementsFKN may be underestimated or FTOLN may be too small.
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If the global convergence requires many equilibrium iterations for achieving convergence tolerances of residual forces and displacement increments rather than penetration, FKN may be overestimated.
Note-If the penetration control becomes dominant in the global equilibrium iterations if more iterations are used to converge the problem to within the penetration tolerance than to converge the force residualsyou may increase FTOLN to permit more allowable penetration or increase FKN.
This state is known as sticking. Once the shear stress is exceeded, the two surfaces will slide relative to each other.
This state is known as sliding. The coefficient of friction can be any non-negative value.The College of Engineering at the University of South Alabama is recognized for the quality of its graduates.
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