E. Onate, Combination of the critical displacement method with a damage model for structural instability analysis, ENG COMPUTA, 18(3-4), 2001, pp. 642-662
The paper describes the extension of the critical displacement method (CDM)
, presented by Onate and Matias in 1996, to the instability analysis of str
uctures with non-linear material behaviour using a sample damage model. The
extended CDM is useful to detect instability Points using a prediction of
the critical displacement field and a secant load-displacement relationship
accounting for material non-linearities. Examples of application of CDM to
the instability analysis of structures using bar and solid finite elements
are presented.