Institute of Continuum Mechanics

A variational growth approach to topology optimization

authored by: P. Junker, D.R. Jantos, K. Hackl
Abstract: In this contribution we present an overview of our work on a novel approach to topology optimization based on growth processes [1, 2, 3]. A compliance parameter to describe the spatial distribution of mass is introduced. It serves as an internal variable for which an associated evolution equation is derived using Hamilton’s principle. The well-known problem of checkerboarding is faced with energy regularization techniques. Numerical examples are given for demonstration purposes.
Organisation(s): Institute of Continuum Mechanics
Type: Conference contribution
Pages: 235-246
No. of pages: 12
Publication date: 2017
Publication status: Published
ASJC Scopus subject areas: Computational Theory and Mathematics, Theoretical Computer Science
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{fec9f633599944268faa690603bbb50e,
title = "A variational growth approach to topology optimization",
abstract = "In this contribution we present an overview of our work on a novel approach to topology optimization based on growth processes [1, 2, 3]. A compliance parameter to describe the spatial distribution of mass is introduced. It serves as an internal variable for which an associated evolution equation is derived using Hamilton{\textquoteright}s principle. The well-known problem of checkerboarding is faced with energy regularization techniques. Numerical examples are given for demonstration purposes.",
keywords = "Regularization, Topology optimization, Variational growth",
author = "P. Junker and D.R. Jantos and K. Hackl",
note = "Publisher Copyright: {\textcopyright} 2017 International Center for Numerical Methods in Engineering. All rights reserved.",
year = "2017",
language = "English",
pages = "235--246",
editor = "Eugenio Onate and Djordje Peric and Owen, {D. Roger J.} and Michele Chiumenti",
booktitle = "Proceedings of the 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017",
}

Last Change: 26.06.23 Print