Journal ArticleDOI
Harmonic waves in composite materials
Reads0
Chats0
TLDR
In this article, a continuum model for elastic periodic composites with fibers of finite dimensions is proposed, which provides the dispersion relations for harmonic waves in the three-dimensional composite.About:
This article is published in Wave Motion.The article was published on 1986-07-01. It has received 26 citations till now. The article focuses on the topics: Micromechanics & Dispersion relation.read more
Citations
More filters
Journal ArticleDOI
A dispersive effective medium for wave propagation in periodic composites
Fadil Santosa,William W. Symes +1 more
TL;DR: In this article, the problem of wave propagation through a periodic medium is considered and an effective medium model of the propagation phenomena is obtained using the Bloch expansion, which is shown to be dispersive.
Journal ArticleDOI
Closed form constitutive equations for metal matrix composites
TL;DR: In this paper, explicit constitutive equations are given for the prediction of the overall behavior of unidirectional fiber-reinforced composites whose constituents are elastoplastic materials.
Journal ArticleDOI
Constitutive equations for elastoplastic composites with imperfect bonding
TL;DR: In this paper, closed-form constitutive relations are derived for the prediction of the overall response of unidirectional fiber-reinforced composites having constituents that are elastoplastic materials.
Journal ArticleDOI
Thirty years of the finite volume method for solid mechanics.
Philip Cardiff,Ismet Demirdžić +1 more
TL;DR: An overview, historical perspective, comparison and critical analysis of the different approaches, including their relative strengths, weaknesses, similarities and dissimilarities, where a close comparison with the de facto standard for computational solid mechanics, the finite element method is given.
Journal ArticleDOI
Anti-plane shear waves in periodic elastic composites: band structure and anomalous wave refraction
TL;DR: In this paper, it was shown that negative energy refraction can be accompanied by positive phase-velocity refraction and positive energy re-correlation can occur over a broad range of frequencies, and that negative refraction does not necessarily require antiparallel group and phasevelocity vectors.
References
More filters
Journal ArticleDOI
Continuum Theory for a Laminated Medium
Book
A theory of elasticity with microstructure for directionally reinforced composites
TL;DR: In this article, a theory of Elasticity with Microstructure for Directionally Reinforced Composites, CISM Monograph 167, Springer Verlag, Vienna/New York, 1975.
Journal ArticleDOI
The effective moduli of short-fiber composites
TL;DR: In this article, a first order continuum theory with microstructure is developed for aligned short-fiber composites, where the fibrous material is modeled by a triply periodic array of rectangular parallel-piped elastic fibres which are embedded in an elastic matrix.
Journal ArticleDOI
Harmonic waves in one-, two- and three-dimensional composites: Bounds for eigenfrequencies
TL;DR: In this article, lower and upper bounds for the eigenfrequencies of wave propagation in one-, two-and three-dimensional elastic composites with periodic structure are developed.
Journal ArticleDOI
Generalized effective stiffness theory for the modeling of fiber-reinforced composites
TL;DR: In this paper, effective stiffness theory of the Nth order is derived for the modeling of the three-dimensional time-dependent motion of a fiber-reinforced composite, where fibers are assumed to be of a rectangular cross section and are imbedded in the matrix in the form of a doubly periodic array.