Linear peridynamics for isotropic and anisotropic materials

Mikata, Yozo

doi:10.1016/j.ijsolstr.2018.09.004

Title: Linear peridynamics for isotropic and anisotropic materials

Journal Article · 01 February 2019 · International Journal of Solids and Structures

DOI: https://doi.org/10.1016/j.ijsolstr.2018.09.004 · OSTI ID:1763818

Mikata, Yozo

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Sponsoring Organization:: USDOE

OSTI ID:: 1763818

Journal Information:: International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Journal Issue: C Vol. 158; ISSN 0020-7683

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (20)

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
Linearized Theory of Peridynamic States Silling, S. A. Journal of Elasticity, Vol. 99, Issue 1 https://doi.org/10.1007/s10659-009-9234-0	journal	January 2010
On the Determination of a Peridynamic Constant in a Linear Constitutive Model Aguiar, Adair R. Journal of Elasticity, Vol. 122, Issue 1 https://doi.org/10.1007/s10659-015-9531-8	journal	June 2015
Studies of dynamic crack propagation and crack branching with peridynamics Ha, Youn Doh; Bobaru, Florin International Journal of Fracture, Vol. 162, Issue 1-2 https://doi.org/10.1007/s10704-010-9442-4	journal	January 2010
Crack nucleation in a peridynamic solid Silling, S. A.; Weckner, O.; Askari, E. International Journal of Fracture, Vol. 162, Issue 1-2 https://doi.org/10.1007/s10704-010-9447-z	journal	January 2010
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 peridynamic material model for the analysis of dynamic crack propagation in orthotropic media Ghajari, M.; Iannucci, L.; Curtis, P. Computer Methods in Applied Mechanics and Engineering, Vol. 276 https://doi.org/10.1016/j.cma.2014.04.002	journal	July 2014
A meshfree method based on the peridynamic model of solid mechanics Silling, S. A.; Askari, E. Computers & Structures, Vol. 83, Issue 17-18 https://doi.org/10.1016/j.compstruc.2004.11.026	journal	June 2005
Modelling of stress-corrosion cracking by using peridynamics De Meo, Dennj; Diyaroglu, Cagan; Zhu, Ning International Journal of Hydrogen Energy, Vol. 41, Issue 15 https://doi.org/10.1016/j.ijhydene.2016.02.154	journal	April 2016
Structural stability and failure analysis using peridynamic theory Kilic, B.; Madenci, E. International Journal of Non-Linear Mechanics, Vol. 44, Issue 8 https://doi.org/10.1016/j.ijnonlinmec.2009.05.007	journal	October 2009
A non-ordinary state-based peridynamic method to model solid material deformation and fracture Warren, Thomas L.; Silling, Stewart A.; Askari, Abe International Journal of Solids and Structures, Vol. 46, Issue 5 https://doi.org/10.1016/j.ijsolstr.2008.10.029	journal	March 2009
Analytical solutions of peristatic and peridynamic problems for a 1D infinite rod Mikata, Yozo International Journal of Solids and Structures, Vol. 49, Issue 21 https://doi.org/10.1016/j.ijsolstr.2012.02.012	journal	October 2012
A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities Bobaru, Florin; Duangpanya, Monchai Journal of Computational Physics, Vol. 231, Issue 7 https://doi.org/10.1016/j.jcp.2011.12.017	journal	April 2012
The effect of long-range forces on the dynamics of a bar Weckner, Olaf; Abeyaratne, Rohan Journal of the Mechanics and Physics of Solids, Vol. 53, Issue 3 https://doi.org/10.1016/j.jmps.2004.08.006	journal	March 2005
A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models Wang, Linjuan; Abeyaratne, Rohan Journal of the Mechanics and Physics of Solids, Vol. 116 https://doi.org/10.1016/j.jmps.2018.03.028	journal	July 2018
An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems Galvanetto, Ugo; Mudric, Teo; Shojaei, Arman Mechanics Research Communications, Vol. 76 https://doi.org/10.1016/j.mechrescom.2016.06.006	journal	September 2016
Peridynamic modeling of concrete structures Gerstle, Walter; Sau, Nicolas; Silling, Stewart Nuclear Engineering and Design, Vol. 237, Issue 12-13 https://doi.org/10.1016/j.nucengdes.2006.10.002	journal	July 2007
Deformation of a Peridynamic Bar Silling, S. A.; Zimmermann, M.; Abeyaratne, R. Journal of Elasticity, Vol. 73, Issue 1-3 https://doi.org/10.1023/B:ELAS.0000029931.03844.4f	journal	December 2003
Linear Pulse Propagation in an Absorbing Medium Chu, S.; Wong, S. Physical Review Letters, Vol. 48, Issue 11 https://doi.org/10.1103/PhysRevLett.48.738	journal	March 1982
An approach to modeling extreme loading of structures using peridynamics Demmie, Paul; Silling, Stewart Journal of Mechanics of Materials and Structures, Vol. 2, Issue 10 https://doi.org/10.2140/jomms.2007.2.1921	journal	January 2007

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