dc.contributor.author |
Tabbara, Mazen |
|
dc.contributor.author |
Warren, T.L. |
|
dc.date.accessioned |
2016-02-10T10:11:47Z |
|
dc.date.available |
2016-02-10T10:11:47Z |
|
dc.date.copyright |
1992 |
|
dc.date.issued |
2016-02-10 |
|
dc.identifier.issn |
0376-9429 |
en_US |
dc.identifier.uri |
http://hdl.handle.net/10725/3037 |
|
dc.description.abstract |
A general method to calculate the tangential stiffness matrix of a structure with a system of interacting propagating cracks is presented. With the help of this matrix, the conditions of bifurcation, stability of state and stability of post-bifurcation path are formulated and the need to distinguish between stability of state and stability path is emphasized. The formulation is applied to symmetric bodies with interacting cracks and to a halfspace with parallel equidistant cooling cracks or shrinkage cracks. As examples, specimens with two interacting crack tips are solved numerically. It is found that in all the specimens that exhibit a softening load-displacement diagram and have a constant fracture toughness, the response path corresponding to symmetric propagation of both cracks is unstable and the propagation tends to localize into a single crack tip. This is also true for hardening response if the fracture toughness increases as described by an R-curve. For hardening response and constant fracture toughness, on the other hand, the response path with both cracks propagating symmetrically is stable up to a certain critical crack length, after which snapback occurs. A system of parallel cooling cracks in a halfspace is found to exhibit a bifurcation similar to that in plastic column buckling. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Bifurcation and stability of structures with interacting propagating cracks |
en_US |
dc.type |
Article |
en_US |
dc.description.version |
Published |
en_US |
dc.author.school |
SOE |
en_US |
dc.author.idnumber |
199890270 |
en_US |
dc.author.woa |
N/A |
en_US |
dc.author.department |
Civil Engineering |
en_US |
dc.description.embargo |
N/A |
en_US |
dc.relation.journal |
International Journal of Fracture |
en_US |
dc.journal.volume |
53 |
en_US |
dc.journal.issue |
3 |
en_US |
dc.article.pages |
273-289 |
en_US |
dc.identifier.doi |
http://dx.doi.org/10.1007/BF00017341 |
en_US |
dc.identifier.ctation |
Bazant, Z. P., & Tabbara, M. R. (1992). Bifurcation and stability of structures with interacting propagating cracks. International journal of fracture, 53(3), 273-289. |
en_US |
dc.author.email |
mtabbara@lau.edu.lb |
|
dc.identifier.url |
http://link.springer.com/article/10.1007/BF00017341#page-1 |
|