Band Gap Formation and Tunability in Stretchable Serpentine Interconnects

Zhang, Pu; Parnell, William J.

doi:10.1115/1.4037314

Cited by 23 publications

(5 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While all of the aforementioned four structures are in the plane group p4g, structures belonging to other groups with glide symmetry can also be found in the literature. For instance, Figure 1e shows a sinusoidal beam (Maurin and Spadoni, 2014;Trainiti et al, 2015) that is in the Frieze group p2mg (Zhang and Parnell, 2017a). A similar zig-zag structure proposed in (Nanda and Karami, 2018) also belongs to this group.…”

Section: Introductionmentioning

confidence: 67%

Symmetry and degeneracy of phonon modes for periodic structures with glide symmetry

Zhang

2019

Journal of the Mechanics and Physics of Solids

Self Cite

View full text Add to dashboard Cite

A large class of phononic crystals and mechanical metamaterials exhibit glide symmetry that dictates their functionality or exceptional performance. The glide symmetry gives rise to a number of intriguing phenomena like sticking-bands and degeneracy in the phononic band structures. Fully understanding of these phenomena demands analysis of the phonon modes' symmetry property, which is, however, a challenging task since it involves nonsymmorphic space group analysis and special treatment of the Brillouin zone boundary. Therefore, this work introduces a systematic group-theoretical procedure determining the symmetry of phonon modes for periodic structures with glide symmetry. By taking the p4g group as an example, the symmetry of phonon modes is discussed by deriving the small representations for high symmetry k-points, and different types of degeneracies are elucidated. This work provides insight into the role of glide symmetry on phononic band structures and guides the symmetry analysis of periodic structures of other types.

show abstract

Section: Introductionmentioning

confidence: 67%

Symmetry and degeneracy of phonon modes for periodic structures with glide symmetry

Zhang

2019

Journal of the Mechanics and Physics of Solids

Self Cite

View full text Add to dashboard Cite

show abstract

“…Significant progress has been achieved in materials [1][2][3] and mechanics [4][5][6][7][8][9][10][11][12][13][14][15][16] in offering the capability for stretchable electronics to be deformed into complex shapes without failure in functionality or structure. A recent direction of devising mechanically "invisible" skin-mounted stretchable electronics [17][18][19], which are ultrasoft and hardly detectable by skin through tactile sensation, demands a new class of compliant elastomer substrates.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Mechanics Model of Zigzag Cellular Substrates for Stretchable Electronics

Zhao

Zhu

Yan

et al. 2020

Journal of Applied Mechanics

View full text Add to dashboard Cite

The use of cellular elastomer substrates not only reduces its restriction on natural diffusion or convection of biofluids in the realm of stretchable electronics but also enhances the stretchability of the electronic systems. An analytical model of “zigzag” cellular substrates under finite deformation is established and validated in this paper. The deformed shape, nonlinear stress–strain curve, and Poisson’s ratio–strain curve of the cellular elastomer substrate calculated using the reported analytical model agree well with those from finite element analysis (FEA). Results show that lower restriction on the natural motion of human skin could be achieved by the proposed zigzag cellular substrates compared with the previously reported hexagonal cellular substrates, manifesting another leap toward mechanically “invisible” wearable, stretchable electronic systems.

show abstract

“…The most common approach is for all functional components to reside on rigid device “islands” that are electrically and mechanically linked by stretchable/deformable interconnects (Choi et al, 2016; Lu and Yang, 2015; Ma et al, 2017; Song, 2015; Zhang et al, 2015). These interconnects can either adopt an out-of-plane arc shape formed by buckling due to release of substrate pre-strain (Jones et al, 2004; Khang et al, 2006; Lacour et al, 2005; Ma et al, 2016b; Su et al, 2012; Wang et al, 2017), or an in-plane serpentine shape (Gonzalez et al, 2008; Huyghe et al, 2008; Liu and Lu, 2016; Xu et al, 2017; Zhang and Parnell, 2017), to achieve stretchability at the system level. Such systems with islands and interconnects are always integrated on or encapsulated into solid substrates that support and protect the systems when mounted on biological tissues (Li et al, 2017a).…”

Section: Introductionmentioning

confidence: 99%

The equivalent medium of cellular substrate under large stretching, with applications to stretchable electronics

Chen

Zhu

Jang

et al. 2018

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

The concepts of open, cellular substrates for stretchable electronic systems are of interest partly due to their ability to minimize disruptions to the natural diffusive or convective flow of bio-fluids in advanced, bio-integrated implants. The overall elastic properties, and in particular the stretchability, of such systems are difficult to determine, however, because they depend strongly on the alignment and position of the serpentine interconnects relative to the openings in the cellular substrate, which is difficult to precisely control, even with the assistance of precision stages and visualization hardware. This paper establishes an analytic constitutive model for an equivalent medium for a cellular substrate under finite deformation. Results demonstrate that the elastic stretchability of a serpentine interconnect bonded to this equivalent medium represents a lower-bound estimate for the case of the actual cellular substrate, where the bonding adopts different alignments and positions. This finding provides a simple, conservative estimate of stretchability, which has general utility as an engineering design rule for platforms that exploit cellular substrates in stretchable electronics.

show abstract

Band Gap Formation and Tunability in Stretchable Serpentine Interconnects

Cited by 23 publications

References 23 publications

Symmetry and degeneracy of phonon modes for periodic structures with glide symmetry

Symmetry and degeneracy of phonon modes for periodic structures with glide symmetry

A Nonlinear Mechanics Model of Zigzag Cellular Substrates for Stretchable Electronics

The equivalent medium of cellular substrate under large stretching, with applications to stretchable electronics

Contact Info

Product

Resources

About