A position-aware linear solid constitutive model for peridynamics

Mitchell, John A.; Silling, Stewart A.; Littlewood, David J.

doi:10.2140/jomms.2015.10.539

Title: A position-aware linear solid constitutive model for peridynamics

Journal Article · Fri Nov 06 00:00:00 EST 2015 · Journal of Mechanics of Materials and Structures

DOI:https://doi.org/10.2140/jomms.2015.10.539· OSTI ID:1338382

Mitchell, John A. ^[1]; Silling, Stewart A. ^[1]; Littlewood, David J. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science

Abstract not provided.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1338382

Alternate ID(s):: OSTI ID: 1497668

Report Number(s):: SAND-2016-12377J; SAND-2014-18512J; 649743

Journal Information:: Journal of Mechanics of Materials and Structures, Vol. 10, Issue 5; ISSN 1559-3959

Publisher:: Mathematical Science PublishersCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 52 works

Citation information provided by
Web of Science

References (9)

Reformulation of elasticity theory for discontinuities and long-range forces Silling, S. A. Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 1 https://doi.org/10.1016/S0022-5096(99)00029-0	journal	January 2000
A meshfree unification: reproducing kernel peridynamics Bessa, M. A.; Foster, J. T.; Belytschko, T. Computational Mechanics, Vol. 53, Issue 6 https://doi.org/10.1007/s00466-013-0969-x	journal	January 2014
Viscoplasticity using peridynamics Foster, J. T.; Silling, S. A.; Chen, W. W. International Journal for Numerical Methods in Engineering https://doi.org/10.1002/nme.2725	journal	January 2009
Peridynamics via finite element analysis Macek, Richard W.; Silling, Stewart A. Finite Elements in Analysis and Design, Vol. 43, Issue 15 https://doi.org/10.1016/j.finel.2007.08.012	journal	November 2007
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures Tupek, M. R.; Radovitzky, R. Journal of the Mechanics and Physics of Solids, Vol. 65 https://doi.org/10.1016/j.jmps.2013.12.012	journal	April 2014
Peridynamic Theory of Solid Mechanics Silling, S. A.; Lehoucq, R. B. Advances in Applied Mechanics https://doi.org/10.1016/S0065-2156(10)44002-8	book	September 2010
An approach for incorporating classical continuum damage models in state-based peridynamics Tupek, M. R.; Rimoli, J. J.; Radovitzky, R. Computer Methods in Applied Mechanics and Engineering, Vol. 263 https://doi.org/10.1016/j.cma.2013.04.012	journal	August 2013
Peridynamic Theory and Its Applications Madenci, Erdogan; Oterkus, Erkan https://doi.org/10.1007/978-1-4614-8465-3	book	January 2014
Peridynamic States and Constitutive Modeling Silling, S. A.; Epton, M.; Weckner, O. Journal of Elasticity, Vol. 88, Issue 2 https://doi.org/10.1007/s10659-007-9125-1	journal	July 2007

Cited By (8)

Nonlocal Operators with Local Boundary Conditions: An Overview Aksoylu, Burak; Celiker, Fatih; Kilicer, Orsan Handbook of Nonlocal Continuum Mechanics for Materials and Structures https://doi.org/10.1007/978-3-319-58729-5_34	book	January 2019
Surface corrections for peridynamic models in elasticity and fracture Le, Q. V.; Bobaru, F. Computational Mechanics, Vol. 61, Issue 4 https://doi.org/10.1007/s00466-017-1469-1	journal	August 2017
Nonlocal operators with local boundary conditions in higher dimensions Aksoylu, Burak; Celiker, Fatih; Kilicer, Orsan Advances in Computational Mathematics, Vol. 45, Issue 1 https://doi.org/10.1007/s10444-018-9624-6	journal	August 2018
Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach Prakash, Naveen Journal of Peridynamics and Nonlocal Modeling, Vol. 1, Issue 1 https://doi.org/10.1007/s42102-018-0002-z	journal	October 2018
Peridynamics review Javili, Ali; Morasata, Rico; Oterkus, Erkan Mathematics and Mechanics of Solids, Vol. 24, Issue 11 https://doi.org/10.1177/1081286518803411	journal	October 2018
A peridynamic investigation on crushing of sand particles Zhu, F.; Zhao, J. Géotechnique, Vol. 69, Issue 6 https://doi.org/10.1680/jgeot.17.p.274	journal	June 2019
Nonlocal problems with local Dirichlet and Neumann boundary conditions Aksoylu, Burak; Celiker, Fatih Journal of Mechanics of Materials and Structures, Vol. 12, Issue 4 https://doi.org/10.2140/jomms.2017.12.425	journal	January 2017
Nonlocal Operators with Local Boundary Conditions: An Overview Aksoylu, Burak; Celiker, Fatih; Kilicer, Orsan Handbook of Nonlocal Continuum Mechanics for Materials and Structures https://doi.org/10.1007/978-3-319-22977-5_34-1	book	November 2017