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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Saint-Venant's principle and its connections to shape and topology optimization

Participants in the publication
C. Barbarosie (Author)
Dep. Matemática
 CMAF
 CMAFcIO
 A.-M. Toader (Author)

Summary
A version of Saint-Venant's principle is stated and proven for a scalar elliptic equation in a domain of arbitrary shape, loaded only in a small ball. Some links are pointed out to the bubble method in topology optimization: when a small hole is introduced in a given shape, the difference between the perturbed solution and the unperturbed one satisfies the hypotheses of Saint-Venant's principle. An important tool is the Poincaré-Wirtinger inequality for functions defined on a sphere; results from spectral geometry are used to determine the constant therein.

Date of Publication
2008-01-16

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
ZAMM

Publication Identifiers

Publisher
Wiley

Volume
88
Number
1

Number of pages
10
Starting page
23
Last page
32

Document Identifiers
DOI - https://doi.org/10.1002/zamm.200710357
URL - http://dx.doi.org/10.1002/zamm.200710357

Keywords
Saint Venant's principle topology optimization


Export

APA
C. Barbarosie, A.-M. Toader, (2008). Saint-Venant's principle and its connections to shape and topology optimization. ZAMM, 88, 23-32. http://dx.doi.org/10.1002/zamm.200710357

IEEE
C. Barbarosie, A.-M. Toader, "Saint-Venant's principle and its connections to shape and topology optimization" in ZAMM, vol. 88, pp. 23-32, 2008. 10.1002/zamm.200710357

BIBTEX
@article{57181, author = {C. Barbarosie and A.-M. Toader}, title = {Saint-Venant's principle and its connections to shape and topology optimization}, journal = {ZAMM}, year = 2008, pages = {23-32}, volume = 88 }