Out-of-Plane Elastic Waves in 2D Models of Solids: A Case Study for a Nonlocal Discretization Scheme with Reduced Numerical Dispersion
Joint Authors
Uhl, T.
Staszewski, W. J.
Martowicz, Adam
Ruzzene, Massimo
Rimoli, Julian J.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The paper addresses the problem of numerical dispersion in simulations of wave propagation in solids.
This characteristic of numerical models results from both spatial discretization and temporal discretization applied to carry out transient analyses.
A denser mesh of degrees of freedom could be a straightforward solution to mitigate numerical dispersion, since it provides more advantageous relation between the model length scale and considered wavelengths.
However, this approach also leads to higher computational effort.
An alternative approach is the application of nonlocal discretization schemes, which employ a relatively sparse spatial distribution of nodes.
Numerical analysis carried out to study the propagation of elastic waves in isotropic solid materials is demonstrated.
Fourier-based nonlocal discretization for continuum mechanics is introduced for a two-dimensional model undergoing out-of-plane wave propagation.
The results show gradual increase of the effectiveness of this approach while expanding the region of nonlocal interactions in the numerical model.
A challenging case of high ratio between the model length scale and wavelength is investigated to present capability of the proposed approach.
The elaborated discretization method also provides the perspective of accurate representation of any arbitrarily shaped dispersion relation based on physical properties of modelled materials.
American Psychological Association (APA)
Martowicz, Adam& Ruzzene, Massimo& Staszewski, W. J.& Rimoli, Julian J.& Uhl, T.. 2015. Out-of-Plane Elastic Waves in 2D Models of Solids: A Case Study for a Nonlocal Discretization Scheme with Reduced Numerical Dispersion. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074199
Modern Language Association (MLA)
Martowicz, Adam…[et al.]. Out-of-Plane Elastic Waves in 2D Models of Solids: A Case Study for a Nonlocal Discretization Scheme with Reduced Numerical Dispersion. Mathematical Problems in Engineering No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1074199
American Medical Association (AMA)
Martowicz, Adam& Ruzzene, Massimo& Staszewski, W. J.& Rimoli, Julian J.& Uhl, T.. Out-of-Plane Elastic Waves in 2D Models of Solids: A Case Study for a Nonlocal Discretization Scheme with Reduced Numerical Dispersion. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074199
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074199