Theoretical aspects of the internal element connectivity parameterization approach for topology optimization |
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| Authors: | Gil Ho Yoon Yoon Young Kim Matthijs Langelaar Fred van Keulen |
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| Affiliation: | 1. Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark;2. Multiscale Design Center and Integrated Design & Analysis of Structures Laboratory, School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Korea;3. Structural Optimization & Computational Mechanics Group, Department of Precision & Microsystems Engineering, Delft University of Technology, Delft, The Netherlands |
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| Abstract: | The internal element connectivity parameterization (I‐ECP) method is an alternative approach to overcome numerical instabilities associated with low‐stiffness element states in non‐linear problems. In I‐ECP, elements are connected by zero‐length links while their link stiffness values are varied. Therefore, it is important to interpolate link stiffness properly to obtain stably converging results. The main objective of this work is two‐fold (1) the investigation of the relationship between the link stiffness and the stiffness of a domain‐discretizing patch by using a discrete model and a homogenized model and (2) the suggestion of link stiffness interpolation functions. The effects of link stiffness penalization on solution convergence are then tested with several numerical examples. The developed homogenized I‐ECP model can also be used to physically interpret an intermediate design variable state. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | topology optimization element connectivity parameterization zero‐length link homogenization |
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