Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method
Crack propagation in a polycrystalline microstructure is analyzed using a novel multiscale model. The model includes an explicit microstructural representation at critical regions (stress concentrators such as notches and cracks) and a reduced order model that statistically captures the microstructure at regions far away from stress concentrations. Crack propagation is modeled in these critical regions using the variational multiscale method. In this approach, a discontinuous displacement field is added to elements that exceed the critical values of normal or tangential tractions during loading. Compared to traditional cohesive zone modeling approaches, the method does not require the use of any special interface elements in the microstructure and thus can model arbitrary crack paths. As a result, the capability of the method in predicting both intergranular and transgranular failure modes in an elastoplastic polycrystal is demonstrated under tensile and three-point bending loads.
- Research Organization:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- SC0008637
- OSTI ID:
- 1259588
- Alternate ID(s):
- OSTI ID: 1313767
- Journal Information:
- Mathematical Problems in Engineering, Journal Name: Mathematical Problems in Engineering Vol. 2016; ISSN 1024-123X
- Publisher:
- Hindawi Publishing CorporationCopyright Statement
- Country of Publication:
- Egypt
- Language:
- English
Web of Science
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