Topology Optimization in Structural and Continuum Mechanics

G.I. Rozvany , Tomasz Denis Lewiński


Book typeMonograph
Editor G.I. Rozvany
G.I. Rozvany,,
, Tomasz Denis Lewiński (FCE / ICE)
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
Publisher name (outside publisher list) Spinger-Verlag
Other ISBN978-3-7091-1642-5
Issue year2014
Book series /Journal (in case of Journal special issue)CISM International Centre for Mechanical Sciences, ISSN 0254-1971, (0 pkt)
Publication size in sheets23.6
Prize LevelExcelent
Outstanding description

Pracownicy Zakładu Mechaniki Budowli i Zastosowań Informatyki z Instytutu Inżynierii Budowlanej pod kierunkiem naukowym prof. T.Lewińskiego oraz prof. G.Rozvany, uczestniczyli w przygotowaniu monografii, która stanowi podstawowy materiał dydaktyczny dla uczestników współkoordynowanej letniej szkoły organizowanej przez CISM International Centre for Mechanical Sciences. Jest to wyrazem uznania dla osiągnięć polskiej szkoły topologicznej optymalizacji konstrukcji budowlanych.

Fragment recenzji:

This book contains the full text of lectures given at a CISM Advanced Course in Udine in June 2012, organized by George Rozvany and Tomasz Lewi´nski. It is published by SpringerWien Heidelberg New York Dordrecht London.

Structural Topology Optimization (STO) is a relatively new, but rapidly expanding and extremely popular field of structural mechanics. At the last three World Congresses on Structural and Multidisciplinary Optimization the percentage of papers on this topic was approximately 40 %, 40 % and 50 %, respectively. Various theoretical aspects, as well as a great variety of numerical methods and applications are discussed extensively in international journals and at conferences. The high level of interest in this field is due to the substantial savings that can be achieved by topology optimization in industrial applications, which include the aerospace, car, machine and defense industries, and more recently architecture and medicine. Moreover, STO has interesting theoretical implications in mathematics, mechanics, Multiphysics and computer science. New fields of application range from solid-fluids systems through electro-magnetic, thermo- and nano-mechanics to acoustics and folding-unfolding structures.

The lecture by Tomasz Lewiński and Tomasz Sokół is focused on one aspect of the lectures by George Rozvany, namely on Michell continua. Their theory is constructed for volume minimization of trusses which finally reduces to a locking material problem. The Michell problem belongs to the class of optimization of statically determinate structures whose behavior is governed only by the equilibrium conditions and constraints bounding the stress level. The lecture by Grzegorz Dzierżanowski and Tomasz Lewiński delivers a complete derivation of the crucial result of the method of relaxation by homogenization: the optimal bounds on the energy. The derivation is based on the translation method for the case of two isotropic constituents and then reduced to the case if one constituent is a void. Structural topology optimization comprises also the design of material characteristics without linking them with the density of mass. This optimization field is called the Free Material Design (FMD). The classical FMD problem is aimed at finding the optimum values of all components of the Hooke tensor from the criterion of compliance minimization, under the isoperimetric condition of boundedness of the integral of the trace of the Hooke tensor. The lecture by Sławomir Czarnecki and Tomasz Lewiński shows that the FMD problem can be reduced to a locking material problem, even in the multi-load case.

Źródło: Structural and Multidisciplinary Optimization 48(5). November 2013

Languageen angielski
Score (nominal)10
ScoreMinisterial score = 10.0, 05-09-2019, MonograhOrBookMainLanguagesEditor
Publication indicators WoS Citations = 9
Citation count*72 (2020-04-01)
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