On the relationship between crack initiation angle and loading equivalent angle for asymmetric Three-Point Bend Specimens under mixed-mode I/II loading based on GMPZR criterion
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https://orcid.org/0000-0001-9340-7464
Mohan T R
Department of Mechanical Engineering, Bapuji Institute of Engineering and Technology, Davangere -577004, Visvesvaraya Technological University, Belagavi, India.
Shashidhar K Kudari
National Institute of Technology Goa, Cuncolium, South Goa District Goa 403 703, India
https://orcid.org/0000-0003-3184-6984
Sharanaprabhu C M
Department of Mechanical Engineering, PES Institute of Technology & Management, Shivamogga 577204, Visvesvaraya Technological University, Belagavi, India
Abstract
In this work, the prediction of crack initiation angle (θo) under mixed mode (I/II) load is estimated from the generalized minimum plastic zone radius (GMPZR) criterion. The paper presents a detailed study on the crack-tip plastic core for asymmetric three-point bend (TPB) specimens of different crack-to-width (a/W) = 0.4-0.7 ratios and loading equivalent angle (βeq) using elastic finite element (FE) analyses. The θo estimated from the FE analysis is compared with the GMPZR criterion, other fracture criteria, and available experimental results. It is found that the θo evaluated from the FE analysis provides the best correlation with the GMPZR criterion among other fracture criteria. The FE results are used to propose an analytical relation between θo and βeq. This proposed relationship can be used to quickly estimate the crack initiation direction/angle for TPB specimens with only βeq available. Finally, the effect of T-stress on θo, will be assessed using as estimated from the GMPZR criterion.
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