Anisotrophy of the vigdergauz microstructure

Y. Grabovsky; R. V. Kohn

doi:10.1115/1.2896043

Anisotrophy of the vigdergauz microstructure

Y. Grabovsky, R. V. Kohn

Mathematics

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.

Original language	English (US)
Pages (from-to)	1063-1065
Number of pages	3
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	62
Issue number	4
DOIs	https://doi.org/10.1115/1.2896043
State	Published - Dec 1995

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1115/1.2896043

Cite this

@article{447ce7c874cf416aaa437b2832f62bb6,

title = "Anisotrophy of the vigdergauz microstructure",

abstract = "A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.",

author = "Y. Grabovsky and Kohn, {R. V.}",

year = "1995",

month = dec,

doi = "10.1115/1.2896043",

language = "English (US)",

volume = "62",

pages = "1063--1065",

journal = "Journal of Applied Mechanics, Transactions ASME",

issn = "0021-8936",

publisher = "American Society of Mechanical Engineers (ASME)",

number = "4",

}

TY - JOUR

T1 - Anisotrophy of the vigdergauz microstructure

AU - Grabovsky, Y.

AU - Kohn, R. V.

PY - 1995/12

Y1 - 1995/12

N2 - A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.

AB - A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.

UR - http://www.scopus.com/inward/record.url?scp=0006865261&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006865261&partnerID=8YFLogxK

U2 - 10.1115/1.2896043

DO - 10.1115/1.2896043

M3 - Comment/debate

AN - SCOPUS:0006865261

SN - 0021-8936

VL - 62

SP - 1063

EP - 1065

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

IS - 4

ER -

Anisotrophy of the vigdergauz microstructure

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this