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Homogenized enriched model for blast wave propagation in metaconcrete with viscoelastic compliant layer
Author(s) -
Tan Swee Hong,
Poh Leong Hien,
Tkalich Dmitry
Publication year - 2019
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6096
Subject(s) - homogenization (climate) , viscoelasticity , attenuation , boundary value problem , mechanics , equations of motion , boundary layer , resonator , wave propagation , materials science , mathematical analysis , physics , mathematics , classical mechanics , optics , composite material , biodiversity , ecology , biology
Summary In this contribution, a reduced‐order homogenization approach is adopted and extended to incorporate the linear viscoelasticity effect. A homogenized enriched model emerges from the homogenization framework, which is utilized here for the analysis of blast wave propagation in metaconcrete with linear viscoelastic compliant layer(s). A semidiscrete equation of motion for the unit cell is first extracted for micro‐macro transition, through a series of transformations to effect the periodic boundary conditions and model reduction, respectively. The ensuing microbalance and macrobalance of momenta are next subjected to spatial and temporal discretizations toward a system of equations to be solved numerically. The predictive capability of the proposed model is demonstrated through a series of benchmark examples involving several metaconcrete variants. It is observed that the dual resonator configuration achieves a greater extent of wave attenuation than the single resonator counterpart.