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Title: A non-local, ordinary-state-based viscoelasticity model for peridynamics.

Abstract

A non-local, ordinary-state-based, peridynamics viscoelasticity model is developed. In this model, viscous effects are added to deviatoric deformations and the bulk response remains elastic. The model uses internal state variables and is conceptually similar to linearized isotropic viscolelasticity in the local theory. The modulus state, which is used to form the Jacobian matrix in Newton-Raphson algorithms, is presented. The model is shown to satisfy the 2nd law of thermodynamics and is applicable to problems in solid continuum mechanics where fracture and rate effects are important; it inherits all the advantages for modeling fracture associated with peridynamics. By combining this work with the previously published ordinary-state-based plasticity model, the model may be amenable to viscoplasticity problems where plasticity and rate effects are simultaneously important. Also, the model may be extended to include viscous effects for spherical deformations as well. The later two extensions are not presented and may be the subject of further work.

Authors:
Publication Date:
Research Org.:
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1029821
Report Number(s):
SAND2011-8064
TRN: US201201%%230
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; FRACTURES; PLASTICITY; SIMULATION; THERMODYNAMICS

Citation Formats

Mitchell, John Anthony. A non-local, ordinary-state-based viscoelasticity model for peridynamics.. United States: N. p., 2011. Web. doi:10.2172/1029821.
Mitchell, John Anthony. A non-local, ordinary-state-based viscoelasticity model for peridynamics.. United States. https://doi.org/10.2172/1029821
Mitchell, John Anthony. 2011. "A non-local, ordinary-state-based viscoelasticity model for peridynamics.". United States. https://doi.org/10.2172/1029821. https://www.osti.gov/servlets/purl/1029821.
@article{osti_1029821,
title = {A non-local, ordinary-state-based viscoelasticity model for peridynamics.},
author = {Mitchell, John Anthony},
abstractNote = {A non-local, ordinary-state-based, peridynamics viscoelasticity model is developed. In this model, viscous effects are added to deviatoric deformations and the bulk response remains elastic. The model uses internal state variables and is conceptually similar to linearized isotropic viscolelasticity in the local theory. The modulus state, which is used to form the Jacobian matrix in Newton-Raphson algorithms, is presented. The model is shown to satisfy the 2nd law of thermodynamics and is applicable to problems in solid continuum mechanics where fracture and rate effects are important; it inherits all the advantages for modeling fracture associated with peridynamics. By combining this work with the previously published ordinary-state-based plasticity model, the model may be amenable to viscoplasticity problems where plasticity and rate effects are simultaneously important. Also, the model may be extended to include viscous effects for spherical deformations as well. The later two extensions are not presented and may be the subject of further work.},
doi = {10.2172/1029821},
url = {https://www.osti.gov/biblio/1029821}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Oct 01 00:00:00 EDT 2011},
month = {Sat Oct 01 00:00:00 EDT 2011}
}