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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
Software:
JDQR
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References:
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