Crack propagation model taking into consideration the local effect of the deviatoric stress and the non-local effect of the isotropic stress

0375077 - ÚTAM 2012 RIV CZ eng J - Journal Article
Kafka, Vratislav
Crack propagation model taking into consideration the local effect of the deviatoric stress and the non-local effect of the isotropic stress.
Acta Technica CSAV. Roč. 56, č. 4 (2011), s. 343-358. ISSN 0001-7043
R&D Projects: GA ČR(CZ) GA103/09/2101
Institutional research plan: CEZ:AV0Z20710524
Keywords : crack propagation * nonlocal effect * deviatoric local effect * isotropic nonlocal
Subject RIV: BM - Solid Matter Physics ; Magnetism

Ductile fracture initiated by a crack is modeled as a process influenced by two factors: (i) the local value of the elastic energy density of the deviatoric part of the stress tensor, and (ii) the nonlocal values of the elastic energy density of the isotropic part of the stress tensor. The effective spot for the deviatoric energy is located at some distance ahead of the crack tip, the nonlocal effect of the isotropic energy operates from a neighborhood of the effective spot, determined by a specific distance from this spot. These assumptions lead to a strength criterion, which is formally a generalization of the Mises criterion. The presented criterion can be used for modeling the influence of the length of the crack, for modeling such phenomena as avoidance of two cracks proceeding against each other, for the pop-in phenomenon, for slowing-down of the progress of a crack near a free surface, etc.
Permanent Link: http://hdl.handle.net/11104/0207836