On the peridynamic effective force state and multiphase constitutive correspondence principle
Abstract
This article concerns modeling unsaturated deformable porous media as an equivalent single-phase and single-force state peridynamic material through the effective force state. The balance equations of linear momentum and mass of unsaturated porous media are presented by defining relevant peridynamic states. The energy balance of unsaturated porous media is utilized to derive the effective force state for the solid skeleton that is an energy conjugate to the nonlocal deformation state of the solid, and the suction force state. Through an energy equivalence, a multiphase constitutive correspondence principle is built between classical unsaturated poromechanics and peridynamic unsaturated poromechanics. The multiphase correspondence principle provides a means to incorporate advanced constitutive models in classical unsaturated porous theory directly into unsaturated peridynamic poromechanics. Finally, numerical simulations of localized failure in unsaturated porous media under different matric suctions are presented to demonstrate the feasibility of modeling the mechanical behavior of such three-phase materials as an equivalent single-phase peridynamic material through the effective force state concept.
- Authors:
-
- Univ. of Florida, Gainesville, FL (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); National Science Foundation (NSF)
- OSTI Identifier:
- 1770859
- Report Number(s):
- SAND-2021-2664J
Journal ID: ISSN 0022-5096; 694586
- Grant/Contract Number:
- AC04-94AL85000; CMMI 1659932; 1944009
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Volume: 145; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Peridynamics; Unsaturated porous media; Thermodynamics; Effective force state; Multiphase correspondence principle
Citation Formats
Song, Xiaoyu, and Silling, Stewart A. On the peridynamic effective force state and multiphase constitutive correspondence principle. United States: N. p., 2020.
Web. doi:10.1016/j.jmps.2020.104161.
Song, Xiaoyu, & Silling, Stewart A. On the peridynamic effective force state and multiphase constitutive correspondence principle. United States. https://doi.org/10.1016/j.jmps.2020.104161
Song, Xiaoyu, and Silling, Stewart A. Fri .
"On the peridynamic effective force state and multiphase constitutive correspondence principle". United States. https://doi.org/10.1016/j.jmps.2020.104161. https://www.osti.gov/servlets/purl/1770859.
@article{osti_1770859,
title = {On the peridynamic effective force state and multiphase constitutive correspondence principle},
author = {Song, Xiaoyu and Silling, Stewart A.},
abstractNote = {This article concerns modeling unsaturated deformable porous media as an equivalent single-phase and single-force state peridynamic material through the effective force state. The balance equations of linear momentum and mass of unsaturated porous media are presented by defining relevant peridynamic states. The energy balance of unsaturated porous media is utilized to derive the effective force state for the solid skeleton that is an energy conjugate to the nonlocal deformation state of the solid, and the suction force state. Through an energy equivalence, a multiphase constitutive correspondence principle is built between classical unsaturated poromechanics and peridynamic unsaturated poromechanics. The multiphase correspondence principle provides a means to incorporate advanced constitutive models in classical unsaturated porous theory directly into unsaturated peridynamic poromechanics. Finally, numerical simulations of localized failure in unsaturated porous media under different matric suctions are presented to demonstrate the feasibility of modeling the mechanical behavior of such three-phase materials as an equivalent single-phase peridynamic material through the effective force state concept.},
doi = {10.1016/j.jmps.2020.104161},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = 145,
place = {United States},
year = {Fri Sep 25 00:00:00 EDT 2020},
month = {Fri Sep 25 00:00:00 EDT 2020}
}
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