Finite Elements Analysis of PLA 3D-printed Elements and Shape Optimization

Shape optimization of quad mesh elements

We study the problem of optimizing the face elements of a quad mesh surface, that is, resampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities an...

Using Finite Elements Model of the Human Body for Shape Optimization of Seats: Optimization Material Properties

Finite Elements in Analysis andDesign

Finite Elements in Analysis and Design ()-This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic formulations of mesh gradation. The metric at each point defines a well-graded smooth continuous metric field over the domain. The mesh gradation then consists in taking into account at each point the strongest size constraint given by all these continuous metric fiel...

A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements

In this paper we propose a method for constrained shape optimization governed with a nonlinear axisymmetric magnetostatic state problem and we apply it to an optimal shape design of an electromagnet. The state problem is solved via Hiptmair’s symmetric coupling of finite elements employed in the interior ferromagnetic domain and boundary elements modelling the exterior air domain as well as cur...

Statistical Energy Analysis and Finite Elements

SEA and FEA have become established engineering methods for noise and vibration analysis. They are contrasting approaches targeted at the high and low frequency ends of the analysis spectrum. This paper concerns the use of FE methods in SEA. Attention is focussed on two areas. The first concerns the use of FE models to predict SEA parameters, such as coupling loss factors. The second area conce...