Plastic instability of beam structures using co-rotational elements
2002 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 191, no 51-52, 5811-5831 p.Article in journal (Refereed) Published
In a previous paper [Comput. Methods Appl. Mech. Engrg. 191 (2002) 1755], the authors have presented a 3D co-rotational elastic beam element including warping effects. This formulation is now further developed in order to incorporate elasto-plastic deformations. The element possesses seven degrees of freedom at each node and can be used to model beams with arbitrary cross-sections. Thus, within the present approach, the centroid and shear center of the cross-section are not necessarily coincident. The main purpose of this element is to model elasto-plastic instability problems. In this context, two methods of branch-switching are tested and discussed. In the first one, the bifurcation point is isolated by successive bisections and the branch-switching is operated by using the eigenvector associated to the negative eigenvalue. In the second one, introduced by Petryk, an energy approach is used to select automatically the stable post-bifurcation path. Six examples, including large displacement and stability problems, are used in order to assess the performances of the element.
Place, publisher, year, edition, pages
2002. Vol. 191, no 51-52, 5811-5831 p.
BEHAVIOR; BIFURCATION; SOLIDS
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-12348DOI: 10.1016/S0045-7825(02)00498-XISI: 000179800200002OAI: oai:DiVA.org:kth-12348DiVA: diva2:309857
QC 201004092010-04-092010-04-092011-02-04Bibliographically approved