Reinforcement by a thin layer with oscillating thickness

Giuseppe Buttazzo, Robert V. Kohn

Research output: Contribution to journalArticle

Abstract

We study a singular perturbation problem involving variational functionals that nearly degenerate on a thin layer with rapidly varying thickness. One interpretation is the reinforcement of a rod in torsion by a thin, oscillatory coating of a very strong material.

Original languageEnglish (US)
Pages (from-to)247-261
Number of pages15
JournalApplied Mathematics & Optimization
Volume16
Issue number1
DOIs
StatePublished - Jul 1987

Fingerprint

Singular Perturbation Problems
Thin Layer
Reinforcement
Torsional stress
Coating
Torsion
Coatings
Interpretation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Reinforcement by a thin layer with oscillating thickness. / Buttazzo, Giuseppe; Kohn, Robert V.

In: Applied Mathematics & Optimization, Vol. 16, No. 1, 07.1987, p. 247-261.

Research output: Contribution to journalArticle

@article{dd67d49d996b4bac8b8ee58220027be0,
title = "Reinforcement by a thin layer with oscillating thickness",
abstract = "We study a singular perturbation problem involving variational functionals that nearly degenerate on a thin layer with rapidly varying thickness. One interpretation is the reinforcement of a rod in torsion by a thin, oscillatory coating of a very strong material.",
author = "Giuseppe Buttazzo and Kohn, {Robert V.}",
year = "1987",
month = "7",
doi = "10.1007/BF01442194",
language = "English (US)",
volume = "16",
pages = "247--261",
journal = "Applied Mathematics and Optimization",
issn = "0095-4616",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Reinforcement by a thin layer with oscillating thickness

AU - Buttazzo, Giuseppe

AU - Kohn, Robert V.

PY - 1987/7

Y1 - 1987/7

N2 - We study a singular perturbation problem involving variational functionals that nearly degenerate on a thin layer with rapidly varying thickness. One interpretation is the reinforcement of a rod in torsion by a thin, oscillatory coating of a very strong material.

AB - We study a singular perturbation problem involving variational functionals that nearly degenerate on a thin layer with rapidly varying thickness. One interpretation is the reinforcement of a rod in torsion by a thin, oscillatory coating of a very strong material.

UR - http://www.scopus.com/inward/record.url?scp=34250098171&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250098171&partnerID=8YFLogxK

U2 - 10.1007/BF01442194

DO - 10.1007/BF01442194

M3 - Article

AN - SCOPUS:34250098171

VL - 16

SP - 247

EP - 261

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

SN - 0095-4616

IS - 1

ER -