journal article·2012-12-31Open access

A perfectly matched layer for peridynamics in two dimensions

Raymond A. Wildman, George A. Gazonas

Abstract

A perfectly matched layer (PML) absorbing boundary is formulated for and numerically applied to peridynamics in two dimensions.Peridynamics is a nonlocal method, derived to be insensitive to discontinuities, more easily simulating fracture.A PML is an absorbing boundary layer, which decays impinging waves exponentially without introducing reflections at the boundary between the computational region and the absorbing layer.Here, we use state-based peridynamics as PMLs are essentially anisotropic absorbing materials, therefore requiring arbitrary material parameters.State-based peridynamics is also more convenient for auxiliary field formulations, facilitating the implementation of the PML.Results show the efficacy of the approach.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Electromagnetic Simulation and Numerical Methods · Numerical methods in engineering · Electromagnetic Scattering and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (32)

Show source-provided references
1. 10.1109/ULTSYM.2009.544202610.1109/ULTSYM.2009.5442026 ↗
2. 10.1006/jcph.1994.115910.1006/jcph.1994.1159 ↗
3. 10.1088/0965-0393/15/5/00210.1088/0965-0393/15/5/002 ↗
4. 10.1016/j.ijheatmasstransfer.2010.05.02410.1016/j.ijheatmasstransfer.2010.05.024 ↗
5. 10.1002/nme.243910.1002/nme.2439 ↗
6. 10.1142/S0218396X9600011810.1142/S0218396X96000118 ↗
7. 10.1002/mop.465007130410.1002/mop.4650071304 ↗
8. 10.2140/jomms.2007.2.192110.2140/jomms.2007.2.1921 ↗
9. 10.1109/LMWC.2004.82710410.1109/LMWC.2004.827104 ↗
10. 10.1142/S021820251250054610.1142/S0218202512500546 ↗
11. 10.1002/pamm.20061005810.1002/pamm.200610058 ↗
12. 10.3846/1392-6292.2007.12.17-2710.3846/1392-6292.2007.12.17-27 ↗
13. 10.1785/012002009810.1785/0120020098 ↗
14. 10.1002/nme.272510.1002/nme.2725 ↗
15. Gerstle · 2005 · 54
16. 10.3970/cmc.2008.008.07510.3970/cmc.2008.008.075 ↗
17. Gerstle · 2011 · 1
18. 10.1007/s10704-010-9442-410.1007/s10704-010-9442-4 ↗
19. 10.1016/j.compstruct.2009.02.01510.1016/j.compstruct.2009.02.015 ↗
20. 10.1121/1.41965710.1121/1.419657 ↗
21. 10.1007/BF0139868610.1007/BF01398686 ↗
22. 10.1007/BF0146223710.1007/BF01462237 ↗
23. 10.1109/LAWP.2003.82155710.1109/LAWP.2003.821557 ↗
24. 10.1109/LAWP.2005.85400010.1109/LAWP.2005.854000 ↗
25. 10.1016/S0022-5096(99)00029-010.1016/S0022-5096(99)00029-0 ↗
26. 10.1016/j.compstruc.2004.11.02610.1016/j.compstruc.2004.11.026 ↗
27. 10.1007/s10659-007-9125-110.1007/s10659-007-9125-1 ↗
28. 10.1109/8.71998410.1109/8.719984 ↗
29. 10.1109/75.62253210.1109/75.622532 ↗
30. 10.1109/TAP.2008.92675310.1109/TAP.2008.926753 ↗
31. 10.1016/j.jmps.2004.08.00610.1016/j.jmps.2004.08.006 ↗
32. 10.1098/rspa.2009.023410.1098/rspa.2009.0234 ↗