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Title: An evolving effective stress approach to anisotropic distortional hardening

Abstract

A new yield surface with an evolving effective stress definition is proposed for consistently and efficiently describing anisotropic distortional hardening. Specifically, a new internal state variable is introduced to capture the thermodynamic evolution between different effective stress definitions. The corresponding yield surface and evolution equations of the internal variables are derived from thermodynamic considerations enabling satisfaction of the second law. A closest point projection return mapping algorithm for the proposed model is formulated and implemented for use in finite element analyses. Finally, select constitutive and larger scale boundary value problems are solved to explore the capabilities of the model and examine the impact of distortional hardening on constitutive and structural responses. Importantly, these simulations demonstrate the tractability of the proposed formulation in investigating large-scale problems of interest.

Authors:
;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1633360
Alternate Identifier(s):
OSTI ID: 1431215; OSTI ID: 1582877
Report Number(s):
SAND-2018-2639J
Journal ID: ISSN 0020-7683; S002076831830115X; PII: S002076831830115X
Grant/Contract Number:  
NA0003525; AC04-94AL85000
Resource Type:
Published Article
Journal Name:
International Journal of Solids and Structures
Additional Journal Information:
Journal Name: International Journal of Solids and Structures Journal Volume: 143 Journal Issue: C; Journal ID: ISSN 0020-7683
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Anisotropic hardening; Distortional hardening; Yield surface; Return mapping algorithm; Plasticity

Citation Formats

Lester, B. T., and Scherzinger, W. M. An evolving effective stress approach to anisotropic distortional hardening. United States: N. p., 2018. Web. doi:10.1016/j.ijsolstr.2018.03.007.
Lester, B. T., & Scherzinger, W. M. An evolving effective stress approach to anisotropic distortional hardening. United States. https://doi.org/10.1016/j.ijsolstr.2018.03.007
Lester, B. T., and Scherzinger, W. M. Fri . "An evolving effective stress approach to anisotropic distortional hardening". United States. https://doi.org/10.1016/j.ijsolstr.2018.03.007.
@article{osti_1633360,
title = {An evolving effective stress approach to anisotropic distortional hardening},
author = {Lester, B. T. and Scherzinger, W. M.},
abstractNote = {A new yield surface with an evolving effective stress definition is proposed for consistently and efficiently describing anisotropic distortional hardening. Specifically, a new internal state variable is introduced to capture the thermodynamic evolution between different effective stress definitions. The corresponding yield surface and evolution equations of the internal variables are derived from thermodynamic considerations enabling satisfaction of the second law. A closest point projection return mapping algorithm for the proposed model is formulated and implemented for use in finite element analyses. Finally, select constitutive and larger scale boundary value problems are solved to explore the capabilities of the model and examine the impact of distortional hardening on constitutive and structural responses. Importantly, these simulations demonstrate the tractability of the proposed formulation in investigating large-scale problems of interest.},
doi = {10.1016/j.ijsolstr.2018.03.007},
journal = {International Journal of Solids and Structures},
number = C,
volume = 143,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2018},
month = {Fri Jun 01 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.ijsolstr.2018.03.007

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

Table 1 Table 1: Elastic, isotropic, and distortional hardening model parameters used in this study.

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