Optimal Design Problems in Mechanics of Growing Composite Solids, Part II: Shape Optimization

[+] Author and Article Information
A. D. Drozdov

Institute for Industrial Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

A. L. Kalamkarov

Department of Mechanical Engineering, Technical University of Nova Scotia, P. O. Box 1000, Halifax, Nova Scotia B3J 2X4, Canada

J. Appl. Mech 62(4), 983-988 (Dec 01, 1995) (6 pages) doi:10.1115/1.2896033 History: Received July 07, 1993; Revised July 07, 1994; Online October 30, 2007


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.

Copyright © 1995 by The American Society of Mechanical Engineers
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