A Generalized Stress Inversion Approach With Application to Residual Stress Estimation
Abstract
In this work develop a generalized stress inversion technique (or the generalized inversion method) capable of recovering stresses in linear elastic bodies subjected to arbitrary cuts. Specifically, given a set of displacement measurements found experimentally from digital image correlation (DIC), we formulate a stress estimation inverse problem as a partial differential equation-constrained optimization problem. We use gradient-based optimization methods, and we accordingly derive the necessary gradient and Hessian information in a matrix-free form to allow for parallel, large-scale operations. By using a combination of finite elements, DIC, and a matrix-free optimization framework, the generalized inversion method can be used on any arbitrary geometry, provided that the DIC camera can view a sufficient part of the surface. We present numerical simulations and experiments, and we demonstrate that the generalized inversion method can be applied to estimate residual stress.
- Authors:
-
- Duke Univ., Durham, NC (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1668699
- Report Number(s):
- SAND-2020-10115J
Journal ID: ISSN 0021-8936; 690835
- Grant/Contract Number:
- AC04-94AL85000; NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Applied Mechanics
- Additional Journal Information:
- Journal Volume: 87; Journal Issue: 11; Journal ID: ISSN 0021-8936
- Publisher:
- ASME
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; computational mechanics; elasticity; stress analysis; stress; traction; noise; arches; inverse problems
Citation Formats
Chen, Mark J., Aquino, Wilkins, Walsh, Timothy F., Reu, Phillip L., Johnson, Kyle L., Rouse, Jerry W., Jared, Bradley H., and Bishop, Joseph E. A Generalized Stress Inversion Approach With Application to Residual Stress Estimation. United States: N. p., 2020.
Web. doi:10.1115/1.4048097.
Chen, Mark J., Aquino, Wilkins, Walsh, Timothy F., Reu, Phillip L., Johnson, Kyle L., Rouse, Jerry W., Jared, Bradley H., & Bishop, Joseph E. A Generalized Stress Inversion Approach With Application to Residual Stress Estimation. United States. https://doi.org/10.1115/1.4048097
Chen, Mark J., Aquino, Wilkins, Walsh, Timothy F., Reu, Phillip L., Johnson, Kyle L., Rouse, Jerry W., Jared, Bradley H., and Bishop, Joseph E. Mon .
"A Generalized Stress Inversion Approach With Application to Residual Stress Estimation". United States. https://doi.org/10.1115/1.4048097. https://www.osti.gov/servlets/purl/1668699.
@article{osti_1668699,
title = {A Generalized Stress Inversion Approach With Application to Residual Stress Estimation},
author = {Chen, Mark J. and Aquino, Wilkins and Walsh, Timothy F. and Reu, Phillip L. and Johnson, Kyle L. and Rouse, Jerry W. and Jared, Bradley H. and Bishop, Joseph E.},
abstractNote = {In this work develop a generalized stress inversion technique (or the generalized inversion method) capable of recovering stresses in linear elastic bodies subjected to arbitrary cuts. Specifically, given a set of displacement measurements found experimentally from digital image correlation (DIC), we formulate a stress estimation inverse problem as a partial differential equation-constrained optimization problem. We use gradient-based optimization methods, and we accordingly derive the necessary gradient and Hessian information in a matrix-free form to allow for parallel, large-scale operations. By using a combination of finite elements, DIC, and a matrix-free optimization framework, the generalized inversion method can be used on any arbitrary geometry, provided that the DIC camera can view a sufficient part of the surface. We present numerical simulations and experiments, and we demonstrate that the generalized inversion method can be applied to estimate residual stress.},
doi = {10.1115/1.4048097},
journal = {Journal of Applied Mechanics},
number = 11,
volume = 87,
place = {United States},
year = {Mon Aug 31 00:00:00 EDT 2020},
month = {Mon Aug 31 00:00:00 EDT 2020}
}
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