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A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures. (English) Zbl 0721.73018
Summary: We present a new asymptotic-numerical method for the buckling analysis of imperfect elastic structures. It improves the classical estimate given by the theories of postbuckling or of perturbed bifurcation. By this way, we are able to compute numerically a class of nonlinear problems by inverting only one stiffness matrix.

MSC:
74G60 Bifurcation and buckling
74S05 Finite element methods applied to problems in solid mechanics
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