Effective Properties and Energy Methods in Thermoelasticity of Composite Materials

2007 ◽  
pp. 185-230
Keyword(s):  
Composite Materials ◽  
Effective Properties ◽  
Energy Methods

Consistent Hashin-Shtrikman Bounds on the Effective Properties of Periodic Composite Materials

1999 ◽  
Vol 66 (4) ◽  
pp. 858-866
Author(s):  
P. Bisegna ◽  
R. Luciano
Keyword(s):  
Composite Materials ◽  
Saddle Point ◽  
Variational Principles ◽  
Effective Properties ◽  
The Other ◽  
Constitutive Behavior ◽  
Homogenization Problem ◽  
Numerical Examples ◽  
Periodic Composites ◽  
Periodic Composite

In this paper the four classical Hashin-Shtrikman variational principles, applied to the homogenization problem for periodic composites with a nonlinear hyperelastic constitutive behavior, are analyzed. It is proved that two of them are indeed minimum principles while the other two are saddle point principles. As a consequence, every approximation of the former ones provide bounds on the effective properties of composite bodies, while approximations of the latter ones may supply inconsistent bounds, as it is shown by two numerical examples. Nevertheless, the approximations of the saddle point principles are expected to provide better estimates than the approximations of the minimum principles.

ON AN EXACT DESCRIPTION OF THE SCHOTTKY GROUPS OF SYMMETRIES

2005 ◽  
Vol 9 (2) ◽  
pp. 137-148
Author(s):  
M. V. Dubatovskaya ◽  
S. V. Rogosin
Keyword(s):  
Composite Materials ◽  
Effective Properties ◽  
Schottky Groups ◽  
Multiply Connected ◽  
Schwarz Problem ◽  
Circular Domains ◽  
Exact Description

Exact description of the Schottky groups of symmetries is given for certain special configurations of multiply connected circular domains. It is used in the representation of the solution of the Schwarz problem which is applied at the study of effective properties of composite materials. Santrauka Darbe pateiktas Schottky simetrijos grupiu apibrežimas tam tikros specialios konfiguracijos daugiajungems skritulinems sritims. Jis yra panaudotas gaunant Švarco uždavinio, kuris pritaikomas nagrinejant efektyvias kompoziciju savybes, sprendinio išraiška.

Challenge problems for the benchmarking of micromechanics analysis: Level I initial results

2017 ◽  
Vol 52 (1) ◽  
pp. 61-80 ◽  
Author(s):  
Hamsasew M Sertse ◽  
Johnathan Goodsell ◽  
Andrew J Ritchey ◽  
R Byron Pipes ◽  
Wenbin Yu
Keyword(s):  
Composite Materials ◽  
Resource Constraints ◽  
Effective Properties ◽  
Constitutive Relations ◽  
Short Fiber ◽  
Local Fields ◽  
Element Analysis ◽  
Software Packages ◽  
Weave Fabric ◽  
Level I

Because of composite materials’ inherent heterogeneity, the field of micromechanics provides essential tools for understanding and analyzing composite materials and structures. Micromechanics serves two purposes: homogenization or prediction of effective properties and dehomogenization or recovery of local fields in the original heterogeneous microstructure. Many micromechanical tools have been developed and codified, including commercially available software packages that offer micromechanical analyses as stand-alone tools or as part of an analysis chain. With the increasing number of tools available, the practitioner must determine which tool(s) provides the most value for the problem at hand given budget, time, and resource constraints. To date, simple benchmarking examples have been developed in an attempt to address this challenge. The present paper presents the benchmark cases and results from the Micromechanical Simulation Challenge hosted by the Composites Design and Manufacturing HUB. The challenge is a series of comprehensive benchmarking exercises in the field of micromechanics against which such tools can be compared. The Level I challenge problems consist of six microstructure cases, including aligned, continuous fibers in a matrix, with and without an interphase; a cross-ply laminate; spherical inclusions; a plain-weave fabric; and a short-fiber microstructure with “random” fiber orientation. In the present phase of the simulation challenge, the material constitutive relations are restricted to linear thermoelastic. Partial results from DIGIMAT-MF, ESI VPS, MAC/GMC, finite volume direct averaging method, Altair MDS, SwiftComp, and 3D finite element analysis are reported. As the challenge is intended to be ongoing, the full results are hosted and updated online at www.cdmHUB.org .

EFFECTIVE PROPERTIES OF FIBER COMPOSITE MATERIALS

2004 ◽  
Vol 18 (5) ◽  
pp. 649-662 ◽  
Author(s):  
X. Xu ◽  
A. Qing ◽  
Y. B. Gan ◽  
Y. P. Feng
Keyword(s):  
Composite Materials ◽  
Effective Properties ◽  
Fiber Composite ◽  
Fiber Composite Materials
Sign in / Sign up

Export Citation Format

Share Document