Influence of the material anisotropy on the limit state of orthotropic plate with periodic system of collinear cracks under biaxial loading
In the presented paper, the limiting state of the orthotropic plates weakened by the periodic system of collinear cracks under biaxial external loading is studied on the basis of the modified crack model of the Leonov-Panasyuk-Dagdale. The material of plate satisfies the strength condition of the general form. On the basis of the solution of a similar problem for an orthotropic plate with one crack, we obtain the relations for determining the basic parameters of a crack model, such as the size of the process zones, the stresses in these zones, and the opening at the top of the cracks. The criterion of critical crack opening is selected as a fracture criterion. On the example of a material satisfying Hoffman strength criterion (generalization of the Mises–Hill criterion, which takes into account the dependence of the difference between the tensile and compressive strength of unidirectional composite materials), the fracture mechanism of a plate weakened by the periodic system of collinear cracks was investigated. The influence of the degree of material anisotropy and biaxiality of external loading on the fracture process and the limiting state of the plate are shown.
Key words: periodic system of cracks, biaxial loading, orthotropy.
Pages of the article in the issue: 34-37
Language of the article: English
BOGDANOVA, O. S. (2007) Limiting state of an elastoplastic orthotropic plate with a periodic system of collinear cracks Int. Appl. Mech. 43(5). p. 539–546.
KAMINSKY, A.A., BOGDANOVA, O.S. and BASTUN, V.N. (2011) On modeling cracks in orthotropic plates under biaxial loading: synthesis and summary. Fatigue & Fracture of Engineering Materials & Structures. 34 (5). p. 345–355.
VIKARIO, A. and TOLAND, R., (1978) Kriterii prochnosti i analiz razrusheniya konstruktsiy iz kompozitsionnyh materialov / V kn. Analiz i proektirovanie konstruktsiy – Moskva, Mashinostroenie. p. 62-107.
How to Cite
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).