Elastostatics of Lattice Materials

Pasini, Damiano; Arabnejad, Sajad

doi:10.1002/9781118729588.ch2

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2024

Publication Types

Select...

Article1

Other1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 123 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the system does not behave as a PC in the other directions/polarizations, other methods of homogenization (i.e. an elastostatic approach [28]) must be used to calculate the remaining effective material properties. Like other 1D periodic media, these EPCs will generally have anisotropic effective material properties.…”

mentioning

confidence: 99%

Effective phononic crystals for non-Cartesian elastic wave propagation

Arretche

Matlack

2020

Phys. Rev. B

View full text Add to dashboard Cite

We introduce the concept of effective phononic crystals, which combine periodicity with varying isotropic material properties to force periodic coefficients in the elastic equations of motion in a non-Cartesian basis. Periodic coefficients allow for band structure calculation using Bloch theorem. Using the band structure, we demonstrate band gaps and topologically protected interface modes can be obtained in cylindrically propagating waves. Through effective phononic crystals, we show how behaviors of Cartesian phononic crystals can be realized in regions close to sources, where near field effects are nonnegligible.

show abstract

mentioning

confidence: 99%