T.E. Bruns

TL;DR: In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.

TL;DR: In this paper, the authors proposed an effective algorithm to resolve the stress-constrained topology optimization problem, which combines a density filter for length scale control, the solid isotropic material with penalization (SIMP) to generate black-and-white designs, a SIMP-motivated stress definition, and a global/regional stress measure combined with an adaptive normalization scheme to control the local stress level.

TL;DR: In this article, a method is developed to systematically remove and reintroduce low density elements from and into the finite element mesh on which the structural topology optimization problem is defined, and the material density field which defines the topology and the local stiffness of the structure is optimally distributed via non-linear programming techniques.

TL;DR: A framework for topology optimization of nonlinear steady-state heat transfer with conduction, convection, and radiation without explicitly accounting for fluid motion is evaluated and a method for avoiding numerical instabilities is described.

TL;DR: A scheme with consistent filtering to introduce a length scale and thereby ensure smoothness in shape optimization while preserving the advantages of the independent node movement approach is proposed.