Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method

Sun, S.; Sundararaghavan, V.

doi:10.1155/2016/4715696

Title: Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method

Full Record
Other Related Research

Abstract

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.

Authors:

Sun, S. ^[1];

^[1]

Department of Aerospace Engineering, University of Michigan, 3025 FXB Building, 1320 Beal Avenue, Ann Arbor, MI 48109, USA

Publication Date:: Fri Jan 01 00:00:00 EST 2016

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1259588

Alternate Identifier(s):: OSTI ID: 1313767

Grant/Contract Number:: SC0008637

Resource Type:: Published Article

Journal Name:: Mathematical Problems in Engineering

Additional Journal Information:: Journal Name: Mathematical Problems in Engineering Journal Volume: 2016; Journal ID: ISSN 1024-123X

Publisher:: Hindawi Publishing Corporation

Country of Publication:: Egypt

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Sun, S., and Sundararaghavan, V. Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method.  Egypt: N. p., 2016. 
Web.  doi:10.1155/2016/4715696.

Copy to clipboard


                    Sun, S., & Sundararaghavan, V. Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method.  Egypt.  https://doi.org/10.1155/2016/4715696

Copy to clipboard


                    Sun, S., and Sundararaghavan, V. Fri .  
"Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method".  Egypt.  https://doi.org/10.1155/2016/4715696.

Copy to clipboard


                    
@article{osti_1259588,

  title        = {Modeling Crack Propagation in Polycrystalline Microstructure Using Variational Multiscale Method},

  author       = {Sun, S. and Sundararaghavan, V.},

  abstractNote = {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.},

  doi          = {10.1155/2016/4715696},

  journal      = {Mathematical Problems in Engineering},

  number       = ,

  volume       = 2016,

  place        = {Egypt},

  year         = {Fri Jan 01 00:00:00 EST 2016},

  month        = {Fri Jan 01 00:00:00 EST 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1155/2016/4715696

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 4 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

A Hybrid Multi-Scale Model of Crystal Plasticity for Handling Stress Concentrations

Journal Article Sun, Shang ; Ramazani, Ali ; Sundararaghavan, Veera - Metals

Microstructural effects become important at regions of stress concentrators such as notches, cracks and contact surfaces. A multiscale model is presented that efficiently captures microstructural details at such critical regions. The approach is based on a multiresolution mesh that includes an explicit microstructure representation at critical regions where stresses are localized. At regions farther away from the stress concentration, a reduced order model that statistically captures the effect of the microstructure is employed. The statistical model is based on a finite element representation of the orientation distribution function (ODF). As an illustrative example, we have applied the multiscaling method tomore »« less
Cited by 2
https://doi.org/10.3390/met7090345

Full Text Available
A two-set order parameters phase-field modeling of crack deflection/penetration in a heterogeneous microstructure

Journal Article Chen, Hu ; Zhang, Chi ; Lu, Qianli ; ... - Computer Methods in Applied Mechanics and Engineering

Modeling of crack deflection/penetration or manifested as intergranular/transgranular fracture in polycrystals has long been a challenge in both fracture mechanics and materials science. A phase-field model formulated with two-set order parameters describing the crack field and the microstructure field respectively, is herein established to investigate the competition between crack penetration and deflection at an interface. The advantages of the proposed model are three-fold: (1) the fracture toughness of grain boundaries and/or interfaces, besides single crystal properties (e.g., Young’s modulus, Poisson ratio, and fracture toughness), can be automatically incorporated, (2) cohesive interfaces are treated in one phase-field framework in comparison withmore »« less
https://doi.org/10.1016/j.cma.2019.01.014
A two-set order parameters phase-field modeling of crack deflection/penetration in a heterogeneous microstructure

Journal Article Chen, Hu ; Zhang, Chi ; Lu, Qianli ; ... - Computer Methods in Applied Mechanics and Engineering

Modeling of crack deflection/penetration or manifested as intergranular/transgranular fracture in polycrystals has long been a challenge in both fracture mechanics and materials science. A phase-field model formulated with two-set order parameters describing the crack field and the microstructure field respectively, is herein established to investigate the competition between crack penetration and deflection at an interface. The advantages of the proposed model are three-fold: (1) the fracture toughness of grain boundaries and/or interfaces, besides single crystal properties (e.g., Young’s modulus, Poisson ratio, and fracture toughness), can be automatically incorporated, (2) cohesive interfaces are treated in one phase-field framework in comparison withmore »« less
Cited by 19
https://doi.org/10.1016/j.cma.2019.01.014

Full Text Available
Fracture propagation in Indiana Limestone interpreted via linear softening cohesive fracture model

Journal Article Rinehart, Alex J. ; Bishop, Joseph E. ; Dewers, Thomas - Journal of Geophysical Research. Solid Earth

Abstract We examine the use of a linear softening cohesive fracture model (LCFM) to predict single‐trace fracture growth in short‐rod (SR) and notched 3‐point‐bend (N3PB) test configurations in Indiana Limestone. The broad goal of this work is to (a) understand the underlying assumptions of LCFM and (b) use experimental similarities and deviations from the LCFM to understand the role of loading paths of tensile fracture propagation. Cohesive fracture models are being applied in prediction of structural and subsurface fracture propagation in geomaterials. They lump the inelastic processes occurring during fracture propagation into a thin zone between elastic subdomains. LCFM assumesmore »« less
Cited by 18
https://doi.org/10.1002/2014JB011624

Full Text Available
Multi Resolution In-Situ Testing and Multiscale Simulation for Creep Fatigue Damage Analysis of Alloy 617

Technical Report Liu, Yongming ; Oskay, Caglar

This report outlines the research activities that were carried out for the integrated experimental and simulation investigation of creep-fatigue damage mechanism and life prediction of Nickel-based alloy, Inconel 617 at high temperatures (950° and 850°). First, a novel experimental design using a hybrid control technique is proposed. The newly developed experimental technique can generate different combinations of creep and fatigue damage by changing the experimental design parameters. Next, detailed imaging analysis and statistical data analysis are performed to quantify the failure mechanisms of the creep fatigue of alloy 617 at high temperatures. It is observed that the creep damage ismore »« less
https://doi.org/10.2172/1358190

Full Text Available

Similar Records