Publications
1.
Wang, Pai; Zheng, Yue; Fernandes, Matheus C.; Sun, Yushen; Xu, Kai; Sun, Sijie; Kang, Sung Hoon; Tournat, Vincent; Bertoldi, Katia
Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices Journal Article
In: Physical Review Letters, vol. 118, pp. 084302, 2017.
@article{Wang2017,
title = {Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices},
author = {Pai Wang and Yue Zheng and Matheus C. Fernandes and Yushen Sun and Kai Xu and Sijie Sun and Sung Hoon Kang and Vincent Tournat and Katia Bertoldi},
url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.084302},
doi = {10.1103/PhysRevLett.118.084302},
year = {2017},
date = {2017-02-21},
journal = {Physical Review Letters},
volume = {118},
pages = {084302},
abstract = {We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.
2.
Kang, Sung Hoon; Shan, Sicong; Košmrlj, Andrej; Noorduin, Wim L.; Shian, Samuel; Weaver, James C.; Clarke, David R.; Bertoldi, Katia
Complex Ordered Patterns in Mechanical Instability Induced Geometrically Frustrated Triangular Cellular Structures Journal Article
In: Physical Review Letters, vol. 112, pp. 098701, 2014, (Selected as Physical Review Letters Editors’ Suggestion and Highlighted in Physics Synopsis.).
@article{Kang2014,
title = {Complex Ordered Patterns in Mechanical Instability Induced Geometrically Frustrated Triangular Cellular Structures},
author = {Sung Hoon Kang and Sicong Shan and Andrej Košmrlj and Wim L. Noorduin and Samuel Shian and James C. Weaver and David R. Clarke and Katia Bertoldi},
url = {http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.098701},
year = {2014},
date = {2014-03-05},
journal = {Physical Review Letters},
volume = {112},
pages = {098701},
abstract = {Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.},
note = {Selected as Physical Review Letters Editors’ Suggestion and Highlighted in Physics Synopsis.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.
Note: Send e-mail to Prof. Kang at [email protected] if you need a pdf file of the papers below.
2017
Wang, Pai; Zheng, Yue; Fernandes, Matheus C.; Sun, Yushen; Xu, Kai; Sun, Sijie; Kang, Sung Hoon; Tournat, Vincent; Bertoldi, Katia
Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices Journal Article
In: Physical Review Letters, vol. 118, pp. 084302, 2017.
Abstract | Links | BibTeX | Tags: Acoustic, architected materials, Band gap, Geometrical Frustration, Metamaterial
@article{Wang2017,
title = {Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices},
author = {Pai Wang and Yue Zheng and Matheus C. Fernandes and Yushen Sun and Kai Xu and Sijie Sun and Sung Hoon Kang and Vincent Tournat and Katia Bertoldi},
url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.084302},
doi = {10.1103/PhysRevLett.118.084302},
year = {2017},
date = {2017-02-21},
journal = {Physical Review Letters},
volume = {118},
pages = {084302},
abstract = {We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.},
keywords = {Acoustic, architected materials, Band gap, Geometrical Frustration, Metamaterial},
pubstate = {published},
tppubtype = {article}
}
We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e., those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges but also open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.
2014
Kang, Sung Hoon; Shan, Sicong; Košmrlj, Andrej; Noorduin, Wim L.; Shian, Samuel; Weaver, James C.; Clarke, David R.; Bertoldi, Katia
Complex Ordered Patterns in Mechanical Instability Induced Geometrically Frustrated Triangular Cellular Structures Journal Article
In: Physical Review Letters, vol. 112, pp. 098701, 2014, (Selected as Physical Review Letters Editors’ Suggestion and Highlighted in Physics Synopsis.).
Abstract | Links | BibTeX | Tags: 3D printing, Cellular Structures, Geometrical Frustration, Mechanical Instability, mechanics of soft materials and structures, Triangular Lattice
@article{Kang2014,
title = {Complex Ordered Patterns in Mechanical Instability Induced Geometrically Frustrated Triangular Cellular Structures},
author = {Sung Hoon Kang and Sicong Shan and Andrej Košmrlj and Wim L. Noorduin and Samuel Shian and James C. Weaver and David R. Clarke and Katia Bertoldi},
url = {http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.098701},
year = {2014},
date = {2014-03-05},
journal = {Physical Review Letters},
volume = {112},
pages = {098701},
abstract = {Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.},
note = {Selected as Physical Review Letters Editors’ Suggestion and Highlighted in Physics Synopsis.},
keywords = {3D printing, Cellular Structures, Geometrical Frustration, Mechanical Instability, mechanics of soft materials and structures, Triangular Lattice},
pubstate = {published},
tppubtype = {article}
}
Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.