## 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.

### MSC:

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

JDQR
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### References:

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