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Title: Nonlinear Dynamic Properties of Layered Composite Materials

Abstract

We present an application of the asymptotic homogenization method to study wave propagation in a one-dimensional composite material consisting of a matrix material and coated inclusions. Physical nonlinearity is taken into account by considering the composite's components as a Murnaghan material, structural nonlinearity is caused by the bonding condition between the components.

Authors:
; ;  [1];  [2]
  1. Institute of General Mechanics, RWTH Aachen University, Termplergraben 64, Aachen, D-52062 (Germany)
  2. Prydniprovs'ka State Academy of Civil Engineering and Architecture, Dnipropetrovs'k, Chernishevs'kogo 24a, UA-49600 (Ukraine)
Publication Date:
OSTI Identifier:
21428620
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1281; Journal Issue: 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498612; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; BONDING; COMPOSITE MATERIALS; FUNCTIONAL ANALYSIS; HOMOGENIZATION METHODS; INCLUSIONS; MATRIX MATERIALS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; WAVE PROPAGATION; CALCULATION METHODS; FABRICATION; JOINING; MATERIALS; MATHEMATICAL SOLUTIONS; MATHEMATICS

Citation Formats

Andrianov, Igor V, Topol, Heiko, Weichert, Dieter, and Danishevs'kyy, Vladyslav V. Nonlinear Dynamic Properties of Layered Composite Materials. United States: N. p., 2010. Web. doi:10.1063/1.3498612.
Andrianov, Igor V, Topol, Heiko, Weichert, Dieter, & Danishevs'kyy, Vladyslav V. Nonlinear Dynamic Properties of Layered Composite Materials. United States. https://doi.org/10.1063/1.3498612
Andrianov, Igor V, Topol, Heiko, Weichert, Dieter, and Danishevs'kyy, Vladyslav V. 2010. "Nonlinear Dynamic Properties of Layered Composite Materials". United States. https://doi.org/10.1063/1.3498612.
@article{osti_21428620,
title = {Nonlinear Dynamic Properties of Layered Composite Materials},
author = {Andrianov, Igor V and Topol, Heiko and Weichert, Dieter and Danishevs'kyy, Vladyslav V},
abstractNote = {We present an application of the asymptotic homogenization method to study wave propagation in a one-dimensional composite material consisting of a matrix material and coated inclusions. Physical nonlinearity is taken into account by considering the composite's components as a Murnaghan material, structural nonlinearity is caused by the bonding condition between the components.},
doi = {10.1063/1.3498612},
url = {https://www.osti.gov/biblio/21428620}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1281,
place = {United States},
year = {Thu Sep 30 00:00:00 EDT 2010},
month = {Thu Sep 30 00:00:00 EDT 2010}
}