On the calculation of bulk properties of heterogeneous materials

Author:

McCoy John J.

Abstract

Models for calculating the effective, or bulk, properties of heterogeneous materials are considered in the light of a Dyson equation formalism. It is seen that convergence difficulties, of the same nature as those which necessitated the renormalization effected by the Dyson equation in the first place, are frequently reintroduced, but now in calculating the parameters to use in the equation. Thus the validity of the models must be suspect. Fortunately, in most instances the validity of the models, if properly interpreted, can be established. The proper interpretation to be given is considered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference31 articles.

1. Statistical homogeneity is obtained in a limit in which the test specimen is unboundedly large.

2. In an alternate, but equivalent, definition one equates the energy stored in a fictitious, homogeneous effective medium and the averaged energy in the randomly heterogeneous test specimen.

3. The appropriateness of such an appellation might be questioned by some. I use it here since its use is not uncommon; it is a convenient shorthand term, and the precise meaning is made clear by the equation that describes the formalism.

4. Mean field variation in random media;Beran, Mark J.;Quart. Appl. Math.,1970

5. M. J. Beran and J. J. McCoy, Int. J. Solids Struct. 6, 1035 (1970)

Cited by 27 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. GENERAL INTEGRAL EQUATIONS OF MICROMECHANICS OF HETEROGENEOUS MATERIALS;International Journal for Multiscale Computational Engineering;2015

2. Solution of general integral equations of micromechanics of heterogeneous materials;International Journal of Solids and Structures;2014-11

3. Microstructure effect on the mechanical properties of heterogeneous composite materials;Composites Part B: Engineering;2013-01

4. General Integral Equations of Micromechanics of Composite Materials;Local and Nonlocal Micromechanics of Heterogeneous Materials;2012-02-24

5. New approximate solution for N-point correlation functions for heterogeneous materials;Journal of the Mechanics and Physics of Solids;2012-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3