An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems

Abstract Broken cells in the finite cell method—especially those with a small volume fraction—lead to high condition number of global system equations. To overcome this problem, paper, we apply and adapt an eigenvalue stabilization technique improve ill-conditioned matrices enhance robustness for large deformation analysis. In approach, modes causing numbers are identified each cell, based on eigenvalues stiffness matrix. Then, supported directly by adding extra matrix order number. Furthermore, same is considered right-hand side system—which leads scheme that does not modify solution. The performance demonstrated using different numerical examples.