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Title: Modeling fatigue failure using the variational multiscale method

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1323996
Grant/Contract Number:
SC0008637
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Engineering Fracture Mechanics
Additional Journal Information:
Journal Volume: 162; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-10-04 09:32:43; Journal ID: ISSN 0013-7944
Publisher:
Elsevier
Country of Publication:
United Kingdom
Language:
English

Citation Formats

Panwar, Shardul, Sun, Shang, and Sundararaghavan, Veera. Modeling fatigue failure using the variational multiscale method. United Kingdom: N. p., 2016. Web. doi:10.1016/j.engfracmech.2016.05.021.
Panwar, Shardul, Sun, Shang, & Sundararaghavan, Veera. Modeling fatigue failure using the variational multiscale method. United Kingdom. doi:10.1016/j.engfracmech.2016.05.021.
Panwar, Shardul, Sun, Shang, and Sundararaghavan, Veera. 2016. "Modeling fatigue failure using the variational multiscale method". United Kingdom. doi:10.1016/j.engfracmech.2016.05.021.
@article{osti_1323996,
title = {Modeling fatigue failure using the variational multiscale method},
author = {Panwar, Shardul and Sun, Shang and Sundararaghavan, Veera},
abstractNote = {},
doi = {10.1016/j.engfracmech.2016.05.021},
journal = {Engineering Fracture Mechanics},
number = C,
volume = 162,
place = {United Kingdom},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.engfracmech.2016.05.021

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  • 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 specialmore » 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.« less
  • 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 specialmore » 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.« less
  • In recent years, there has been intense interest in understanding various physical phenomena in random heterogeneous media. Any accurate description/simulation of a process in such media has to satisfactorily account for the twin issues of randomness as well as the multilength scale variations in the material properties. An accurate model of the material property variation in the system is an important prerequisite towards complete characterization of the system response. We propose a general methodology to construct a data-driven, reduced-order model to describe property variations in realistic heterogeneous media. This reduced-order model then serves as the input to the stochastic partialmore » differential equation describing thermal diffusion through random heterogeneous media. A decoupled scheme is used to tackle the problems of stochasticity and multilength scale variations in properties. A sparse-grid collocation strategy is utilized to reduce the solution of the stochastic partial differential equation to a set of deterministic problems. A variational multiscale method with explicit subgrid modeling is used to solve these deterministic problems. An illustrative example using experimental data is provided to showcase the effectiveness of the proposed methodology.« less
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