Accession Number:
ADA237471
Title:
Development of a Mixture for Nonlinear Wave Propagation in Fiber- Reinforced Composites.
Descriptive Note:
Final rept. 1 Feb 87-30 Jun 89,
Corporate Author:
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF APPLIED MECHANICS AND ENGINEERING SCIENCES
Personal Author(s):
Report Date:
1991-05-31
Pagination or Media Count:
40.0
Abstract:
A method for constructing dispersive, nonlinear mixture models for unidirectionally fiber-reinforced composites is described herein. System nonlinearities in the treated example result from nonlinear material properties of the constituents. The proposed model is a nonlinear generalization of the linear model developed by Murakami and Hegemier 1986 for elastic constituents. Model construction is based upon a homogenization technique which employs multivariable asymptotic expansions in conjunction with certain weighted residual procedures. The methodology furnishes the equations of motion, the appropriate initial and boundary conditions, and a set of consistent rate constitutive relations. Model validation for linear and non linear dynamic responses is accomplished by comparing predicted results for waveguide and wave- reflect problems with the available experimental data or the data obtained by use of a detailed finite element FE analysis.
Descriptors:
- *MATHEMATICAL MODELS
- EXPERIMENTAL DATA
- EQUATIONS OF MOTION
- VALIDATION
- MODELS
- MULTIVARIATE ANALYSIS
- FINITE ELEMENT ANALYSIS
- FIBER REINFORCED COMPOSITES
- ELASTIC PROPERTIES
- RATES
- MIXTURES
- CONSISTENCY
- WEIGHTING FUNCTIONS
- BOUNDARIES
- NONLINEAR SYSTEMS
- CONSTRUCTION
- WAVE PROPAGATION
- RESIDUALS
- ASYMPTOTIC SERIES
- HOMOGENEITY
- DISPERSIONS
- NONLINEAR PROPAGATION ANALYSIS
- LINEAR SYSTEMS
Subject Categories:
- Laminates and Composite Materials