In this paper, a method based on a combination of an optimization of directions of orthotropy, along with topology optimization, is applied to continuum orthotropic solids with the objective of minimizing their compliance. The spatial discretization algorithm is the so called Meshless Local Petrov-Galerkin (MLPG) “mixed collocation” method for the design domain, and the material-orthotropy orie...

Topology optimization is concerned with the identification of optimal shapes deformable bodies respect to given target functionals. The focus this paper on a topology problem for time-evolving elastoplastic medium under kinematic hardening. We adopt phase-field approach and argue by subsequent approximations, first discretizing time then regularizing flow rule. Existence proved both at time-dis...

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees freedom such model can be partitioned in free and prescribed sets to define boundary conditions. A multi-partition problem involves multiple partitions same discretization, corresponding different loading scenarios. As result, solving problems factorizatio...

The Isogeometric Analysis (IA) is utilized for structural topology optimization  considering minimization of weight and local stress constraints. For this purpose, material density of the structure  is  assumed  as  a  continuous  function  throughout  the  design  domain  and approximated using the Non-Uniform Rational B-Spline (NURBS) basis functions. Control points of the density surface are...