Optimal design problems in mechanics of growing composite solids, part II: Shape optimization

A. D. Drozdov, A. L. Kalamkarov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Optimal design problems arising in mechanics of growing composite viscoelastic and elastic solids subjected to aging are considered. The growth means a continuous mass influx to the body surface. Due to this process, the size of the body increases in time. The mass influx with pretensioning causes the rise of stresses in the growing body. The purpose of the current study is to propose a new class of the optimal design problems for the growing viscoelastic composite solids subjected to aging, and to solve the mechanical design problems of this new type. In the current paper we analyze the optimal design of the shape of growing reinforced beams which minimizes their maximum deflection. The proposed approach and the obtained new solutions are of a special interest and importance for the design of the reinforced cantilevers and bridges.

Original languageEnglish
Pages (from-to)983-988
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume62
Issue number4
DOIs
StatePublished - 1 Jan 1995

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