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.
Conference report
English
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
CIMNE
Open Access
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