Computational Technology Resources - CCC

A. Myśliński, "Virtual Element Method for Topology Optimization of Contact Problems", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 3.2, 2026, doi:10.4203/ccc.14.3.2

Keywords: topology optimization, contact problem, elasto-plastic material, friction, virtual element method, gradient flow equation.

Abstract

This paper is concerned with the application of the virtual element method (VEM) to solve topology optimization problems for two-dimensional structures in contact. The goal is to design an optimal layout for two bodies in bilateral frictional elasto-plastic contact to minimize the maximal contact stress along the joint boundary of the bodies and to ensure the uniform distribution of this stress. This work is concerned with the extension of the VEM to nonlinear problems. The key feature distinguishing VEM from the classical finite element method is that the local basis functions in VEM are only implicitly known. VEM is used to approximate the governing boundary value problem as well as the gradient flow equation exploiting the calculated derivative of the cost functional. Generalized Newton method is used to solve numerically this discretized optimization problem. Numerical examples are provided and discussed.

download the full-text of this paper (PDF, 12 pages, 304 Kb)

go to the previous paper
go to the next paper
return to the table of contents
return to the volume description

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 14 PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 3.2 Virtual Element Method for Topology Optimization of Contact Problems A. Myśliński , Systems Research Institute, Warszawa, Polska doi:10.4203/ccc.14.3.2 Full Bibliographic Reference for this paper A. Myśliński, "Virtual Element Method for Topology Optimization of Contact Problems", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 3.2, 2026, doi:10.4203/ccc.14.3.2 Keywords: topology optimization, contact problem, elasto-plastic material, friction, virtual element method, gradient flow equation. Abstract This paper is concerned with the application of the virtual element method (VEM) to solve topology optimization problems for two-dimensional structures in contact. The goal is to design an optimal layout for two bodies in bilateral frictional elasto-plastic contact to minimize the maximal contact stress along the joint boundary of the bodies and to ensure the uniform distribution of this stress. This work is concerned with the extension of the VEM to nonlinear problems. The key feature distinguishing VEM from the classical finite element method is that the local basis functions in VEM are only implicitly known. VEM is used to approximate the governing boundary value problem as well as the gradient flow equation exploiting the calculated derivative of the cost functional. Generalized Newton method is used to solve numerically this discretized optimization problem. Numerical examples are provided and discussed. download the full-text of this paper (PDF, 12 pages, 304 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
Back to top	©Civil-Comp Limited 2023 - terms & conditions