scholarly journals A dynamic hybrid local/nonlocal continuum model for wave propagation

2020 ◽  
Author(s):  
Fei Han ◽  
Shankun Liu ◽  
Gilles Lubineau
Keyword(s):  
Wave Propagation ◽  
Continuum Model ◽  
Nonlocal Continuum ◽  
Dynamic Hybrid

scholarly journals A Nonlocal Continuum Model for Biological Aggregation

2006 ◽  
Vol 68 (7) ◽  
pp. 1601-1623 ◽  
Author(s):  
Chad M. Topaz ◽  
Andrea L. Bertozzi ◽  
Mark A. Lewis
Keyword(s):  
Continuum Model ◽  
Nonlocal Continuum

A General Continuum Theory With Microstructure for Wave Propagation in Elastic Laminated Composites

1974 ◽  
Vol 41 (1) ◽  
pp. 101-105 ◽  
Author(s):  
G. A. Hegemier ◽  
T. C. Bache
Keyword(s):  
Wave Propagation ◽  
Continuum Model ◽  
Laminated Composites ◽  
Continuum Theory ◽  
Velocity Spectrum ◽  
Two Dimensional ◽  
One Dimensional ◽  
General Continuum ◽  
Hierarchy Of Models ◽  
Dimensional Wave

A continuum theory with microstructure for wave propagation in laminated composites, proposed in previous works concerning propagation normal and parallel to the laminates, is extended herein to the general two-dimensional case. Continuum model construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models is defined by the order of truncation of the obtained asymptotic sequence. Particular attention is given to the lowest order dispersive theory. The phase velocity spectrum of the general theory is investigated for one-dimensional wave propagation at various propagation angles with respect to the laminates. Retention of all terms in the asymptotic sequence is found to yield the exact elasticity spectrum, while spectral collation of the lowest order dispersive theory with the first three modes of the exact theory gives excellent agreement.

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