title: Shear wave filtering in naturally-occurring Bouligand structures.
abstract: Wave propagation was investigated in the Bouligand-like structure from within the dactyl club of the stomatopod, a crustacean that is known to smash their heavily shelled preys with high accelerations. We incorporate the layered nature in a unitary material cell through the propagator matrix formalism while the periodic nature of the material is considered via Bloch boundary conditions as applied in the theory of solid state physics. Our results show that these materials exhibit bandgaps at frequencies related to the stress pulse generated by the impact of the dactyl club to its prey, and therefore exhibiting wave filtering in addition to the already known mechanisms of macroscopic isotropic behavior and toughness.
authors.affiliation: Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA.
authors.forename: Nicolás
authors.initials: N
authors.lastname: Guarín-Zapata
authors.affiliation: Civil Engineering Department, Universidad EAFIT, Medellín 050022, Colombia.
authors.forename: Juan
authors.initials: J
authors.lastname: Gomez
authors.affiliation: Materials Science and Engineering, University of California, Riverside, Riverside, CA 92521, USA.
authors.forename: Nick
authors.initials: N
authors.lastname: Yaraghi
authors.affiliation: Materials Science and Engineering, University of California, Riverside, Riverside, CA 92521, USA; Department of Chemical and Environmental Engineering, University of California, Riverside, Riverside, CA 92521, USA.
authors.forename: David
authors.initials: D
authors.lastname: Kisailus
authors.affiliation: Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USA. Electronic address: zavattie@purdue.edu.
authors.forename: Pablo D
authors.initials: PD
authors.lastname: Zavattieri
mesh_terms: D065638:Absorption, Radiation; D000054:Acceleration; D000825:Animal Structures / Q000033:anatomy & histology* / Q000502:physiology*; D000818:Animals; D003198:Computer Simulation; D003445:Crustacea / Q000033:anatomy & histology* / Q000502:physiology*; D055119:Elastic Modulus / Q000502:physiology; D008954:Models, Biological; D010812:Physical Stimulation / Q000379:methods; D012542:Scattering, Radiation; D033081:Shear Strength; D013314:Stress, Mechanical; D014732:Vibration; D014783:Viscosity
keywords: Bandgaps; Modeling; Stomatopods/mantis shrimp; Wave propagation