The M-Integral based failure description on elasto-plastic materials with defects under biaxial loading. (September 2017)

• Record Type: Journal Article
• Authors: Li, Q.; Guo, Y.L.; Hou, J.L.; Zhu, W.J.
• Is Part Of: Mechanics of materials. Volume 112(2017)
• Page Start: 163
• Page End: 171
• Publication Date: 2017-09
• Subjects: M-integral -- Failure -- Elasto-plastic material -- Defects -- Biaxial loading -- Digital image correlation; Strength of materials -- Periodicals; Mechanics, Applied -- Periodicals; Résistance des matériaux -- Périodiques; Mécanique appliquée -- Périodiques; Mechanics, Applied; Strength of materials; Periodicals; Electronic journals; 620.11
• DOI: 10.1016/j.mechmat.2017.06.004
• Languages: English
• ISSNs: 0167-6636

Abstract

Highlights: A failure criterion is proposed for elasto-plastic media under biaxial loading. The M-Integral can be regarded as a damage driving force. The proposed experiment DIC method can measure the M-integral. Abstract: This paper presents a M- Integral based failure description of the elasto-plastic materials containing multiple defects, such as voids, subjected to biaxial loading conditions. A non-dimensional Π-parameter is defined, and a novel failure criterion based on the Π-parameter is proposed to assess the multi-defected media. Analytical, numerical and experimental investigations are conducted to evaluate the Π-parameter for different types of problems in order to elucidate the Π-parameter based failure criterion. The explicit definition of the Π-parameter is first derived from the case of elastic inclusion problems in plane elasticity being subject to biaxial loading conditions. And then the Π-parameter is regarded as a damage driving force, and its critical value indicates the occurrence of failure of elasto-plastic materials with defects under biaxial loading. This Π-parameter based failure criterion is further validated through a series of numerically elasto-plastic analyses of cruciform biaxial specimens containing multiple and randomly distributed local defects. In addition, an experimental procedure on evaluating the Π-parameter for elasto-plastic materials is proposed by using the digital image correlation.