A method for smoothing multiple yield functions
Abstract
A method is presented that produces a single C2 differentiable and convex yield function from a plastic model that contains multiple yield surfaces that are individually C2 differentiable and convex. The method is suitable for implementation in numerical computer codes. Here, the error incurred through the smoothing procedure is quantified. The method is illustrated through a number of examples. Two simple finite-element models are solved to compare this method with existing approaches.
- Authors:
-
[1];
[2];
- Queensland Centre for Advanced Technologies, Kenmore (Australia). Coal Mining Research Program
- Idaho National Lab. (INL), Idaho Falls, ID (United States). Fuel Modeling and Simulation
- Univ. of Southern California, Los Angeles, CA (United States). Sonny Astani Department of Civil and Environmental Engineering
- Publication Date:
- Research Org.:
- Idaho National Laboratory (INL), Idaho Falls, ID (United States)
- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)
- OSTI Identifier:
- 1575406
- Alternate Identifier(s):
- OSTI ID: 1570856
- Report Number(s):
- INL/JOU-19-52517-Rev000
Journal ID: ISSN 0029-5981; TRN: US2001213
- Grant/Contract Number:
- AC07-05ID14517; NE0008438
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Engineering
- Additional Journal Information:
- Journal Volume: 2019; Journal ID: ISSN 0029-5981
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; Yield function; Plasticity; Return-map algorithm; Differentiability; Finite Element
Citation Formats
Wilkins, Andy, Spencer, Benjamin W., Jain, Amit, and Gencturk, Bora. A method for smoothing multiple yield functions. United States: N. p., 2019.
Web. doi:10.1002/nme.6215.
Wilkins, Andy, Spencer, Benjamin W., Jain, Amit, & Gencturk, Bora. A method for smoothing multiple yield functions. United States. https://doi.org/10.1002/nme.6215
Wilkins, Andy, Spencer, Benjamin W., Jain, Amit, and Gencturk, Bora. Wed .
"A method for smoothing multiple yield functions". United States. https://doi.org/10.1002/nme.6215. https://www.osti.gov/servlets/purl/1575406.
@article{osti_1575406,
title = {A method for smoothing multiple yield functions},
author = {Wilkins, Andy and Spencer, Benjamin W. and Jain, Amit and Gencturk, Bora},
abstractNote = {A method is presented that produces a single C2 differentiable and convex yield function from a plastic model that contains multiple yield surfaces that are individually C2 differentiable and convex. The method is suitable for implementation in numerical computer codes. Here, the error incurred through the smoothing procedure is quantified. The method is illustrated through a number of examples. Two simple finite-element models are solved to compare this method with existing approaches.},
doi = {10.1002/nme.6215},
journal = {International Journal for Numerical Methods in Engineering},
number = ,
volume = 2019,
place = {United States},
year = {Wed Sep 04 00:00:00 EDT 2019},
month = {Wed Sep 04 00:00:00 EDT 2019}
}
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