Branch switching techniques for bifurcation in soil deformation. (English) Zbl 0967.74042

Summary: The transition from homogeneous to localized deformations during the loading of a soil specimen within a fiinte element computation is often characterized by a bifurcation point, indicating loss of uniqueness of the solution. The signalling of a bifurcation point can be done via the eigenvalues of structural stiffness matrix resulting from finite element discretization. Eigenvectors related to negative eigenvalues can be used to perturb a homogeneous state and to obtain a localized deformation mode. This procedure is called branch switching. Here we propose several methods to perform this branch switching.


74L10 Soil and rock mechanics
74G60 Bifurcation and buckling
74S05 Finite element methods applied to problems in solid mechanics


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