caa a22 4500 46912394X CHVBK 20180323133146.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF00017341 doi (NATIONALLICENCE)springer-10.1007/BF00017341 Bifurcation and stability of structures with interacting propagating cracks [Elektronische Daten] [Zdeněk Bazant, Mazen Tabbara] 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. Kluwer Academic Publishers, 1992 Bazant Zdeněk Department of Civil Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut Tabbara Mazen Department of Civil Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut International Journal of Fracture Kluwer Academic Publishers 53/3(1992-02-01), 273-289 0376-9429 53:3<273 1992 53 10704 https://doi.org/10.1007/BF00017341 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00017341 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bazant Zdeněk Department of Civil Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 700 1- Tabbara Mazen Department of Civil Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 53/3(1992-02-01), 273-289 0376-9429 53:3<273 1992 53 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer