Optimum design of elastic moduli for the multiple load problems

• Autorzy: Lewiński T.

Identyfikatory

DOI

10.24423/aom.3607

• Języki publikacji: EN

Abstrakty

EN

The paper deals with minimization of the weighted average of compliances of structures, made of an elastic material of spatially varying elasticity moduli, subjected to n load variants acting non-simultaneously. The trace of the Hooke tensor is assumed as the unit cost of the design. Three versions of the free material design are discussed: designing the moduli of arbitrary anisotropy (AMD), designing the moduli of an isotropic material (IMD), designing of Young’s modulus for a fixed Poisson ratio (YMD). The problem is in all cases reduced to the Linear Constrained Problem (LCP) of Bouchitté and Fragalà consisting of two mutually dual problems: stress based and strain based, the former one being characterized by the integrand of linear growth depending on the trial statically admissible stresses. The paper shows equivalence of the stress fields solving the (LCP) problem and those appearing in the optimal body subjected to subsequent load cases.

Słowa kluczowe

EN

structural optimization; free material design; elasticity

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2021
• Tom: Vol. 73, nr 1
• Strony: 27--66
• Opis fizyczny: Bibliogr. 49 poz., rys.

Twórcy

autor

Lewiński T.

• Warsaw University of Technology, Faculty of Civil Engineering Armii Ludowej 16, 00-637 Warsaw, Poland

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).