图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

DOI: 10.1615/IntJMultCompEng.v2.i1.10
14 pages

Multiscale Mechanics of Nonlocal Effects in Microheterogeneous Materials

Valeriy A. Buryachenko
Civil Engineering Department, University of Akron, Akron, Ohio 44325-3901, USA and Micromechanics and Composites LLC, 2520 Hingham Lane, Dayton, Ohio 45459, USA

ABSTRACT

We consider a linearly thermoelastic composite medium, which consists of a homogeneous matrix containing either deterministic (periodic and non-periodic) or random (statistically homogeneous and inhomogeneous, so-called graded) field of inclusions. For functionally graded materials when the concentration of the inclusions is a function of the coordinates, the micromechanical approach is based on the generalization of the "multiparticle effective field" method, previously proposed for statistically homogeneous random structure composites by the author (see for references and details Buryachenko, Appl. Mech. Reviews 2001, 54, 1-47). Both the Fourier transform method and iteration method are analyzed. The nonlocal integral and differential effective operators of elastic effective properties are estimated. The nonlocal dependencies of the effective elastic moduli as well as of conditional averages of the strains in the components on the concentration of the inclusions in a certain neighborhood of point considered are detected; the scale effect is discovered. The proposed theory provides the bridging of length scales which is a paramount factor in understanding and controlling material microinhomogeneity at the microscale and interpreting them at the macroscale. The combined coupled concept of introducing both the integral and differential operator linking microscale and macroscale enables one to address two issues simultaneously.


Articles with similar content:

Hierarchical Multiscale Modeling of Nanotube-Reinforced Polymer Composites
International Journal for Multiscale Computational Engineering, Vol.7, 2009, issue 5
R. Naghdabad, J. Ghanbari
Computational Evaluation of Strain Gradient Elasticity Constants
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
N. A. Fleck, R. H. J. Peerlings
Calibration of a Nonlinear Elastic Composite With Goal-Oriented Error Control
International Journal for Multiscale Computational Engineering, Vol.3, 2005, issue 3
Hakan Johansson, Kenneth Runesson, Fredrik Larsson
Size of a Representative Volume Element in a Second-Order Computational Homogenization Framework
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
Marc Geers, W. A. M. Brekelmans, Varvara G. Kouznetsova
RANDOM RESIDUAL STRESSES IN ELASTICITY HOMOGENEOUS MEDIUM WITH INCLUSIONS OF NONCANONICAL SHAPE
International Journal for Multiscale Computational Engineering, Vol.10, 2012, issue 3
Valeriy A. Buryachenko, Michele Brun