Nonlinear strain wave localization in periodic composites

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Porubov, A. V.¹  Andrianov, I. V.²  Danishevs'kyy, V. V.³ 

[1] Inst Problems Mech Engn, VO, Bolshoy Av 61, St Petersburg 199178, Russia

[2] Rhein Westfal TH Aachen, Inst Gen Mech, D-52062 Aachen, Germany

[3] Prydniprovska State Acad Civil Engn & Architectur, UA-49600 Dnepropetrovsk, Ukraine

关键词: Composite materials;    Finite deformation;    Nonlinear elasticity;    Traveling wave solution;    Localized strain wave;   

DOI  :  10.1016/j.ijsolstr.2012.07.008

来源: Elsevier

【 摘 要 】

Nonlinear strain wave propagation along the lamina of a periodic two-component composite was studied. A nonlinear model was developed to describe the strain dynamics. The model asymptotically satisfies the boundary conditions between the lamina, in contrast to previously developed models. Our model reduces an initial two-dimensional problem into a single one-dimensional nonlinear governing equation for longitudinal strains in the form of the Boussinesq equation. The width of the lamina may control the propagation of either compression or tensile localized strain waves, independent of the elastic constants of the materials of the composite. (C) 2012 Elsevier Ltd. All rights reserved.

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