# Topological asymptotic analysis of the Kirchhoff plate bending problem

Samuel Amstutz; Antonio A. Novotny

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 3, page 705-721
- ISSN: 1292-8119

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topAmstutz, Samuel, and Novotny, Antonio A.. "Topological asymptotic analysis of the Kirchhoff plate bending problem." ESAIM: Control, Optimisation and Calculus of Variations 17.3 (2011): 705-721. <http://eudml.org/doc/272958>.

@article{Amstutz2011,

abstract = {The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed for a wide range of second-order differential operators. Since we are dealing here with a forth-order operator, we perform a complete mathematical analysis of the problem.},

author = {Amstutz, Samuel, Novotny, Antonio A.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {topological sensitivity; topological derivative; topology optimization; Kirchhoff plates},

language = {eng},

number = {3},

pages = {705-721},

publisher = {EDP-Sciences},

title = {Topological asymptotic analysis of the Kirchhoff plate bending problem},

url = {http://eudml.org/doc/272958},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Amstutz, Samuel

AU - Novotny, Antonio A.

TI - Topological asymptotic analysis of the Kirchhoff plate bending problem

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2011

PB - EDP-Sciences

VL - 17

IS - 3

SP - 705

EP - 721

AB - The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed for a wide range of second-order differential operators. Since we are dealing here with a forth-order operator, we perform a complete mathematical analysis of the problem.

LA - eng

KW - topological sensitivity; topological derivative; topology optimization; Kirchhoff plates

UR - http://eudml.org/doc/272958

ER -

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