2026-04-17T14:20:28Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1806672025-07-16T22:19:34Zcom_2072_1033col_2072_452949

A variational growth approach to topology optimization Junker, P. Jantos, D.R. Hackl, K. Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Finite element method Plasticity -- Mathematical models Topology Optimization, Variational Growth, Regularization Elements finits, Mètode dels Plasticitat -- Models matemàtics Plasticitat 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. 2017 Conference report Open Access CIMNE