Abstract. Numerical homogenization is used for upscaling of the linear elasticity tensor of strongly heterogeneous microstructures. The implemented 3D algorithm is described in terms of six auxiliary elastic problems for the reference volume element (RVE). Rotated trilinear RannacherTurek finite elements are used for discretization of the involved subproblems. A parallel PCG method is implement...

In this study, a 3-dimensional (3D) implementation of representative volume element homogenization using bond-based peridynamic formulation is presented. Periodic boundary condition established by coupling the displacements of periodic point pairs. Homogenized (effective) material properties are obtained based on displacement gradient tensor. The current approach is val...

The modern polycrystalline composite materials have a complex internal structure consisting of different phases and interfaces with random distribution. Relevant examples are Al2O3/ZrO2, i.e. alumina/zirconia composites, widely used as structural applications ranging from aerospace to bio-engineering. Depending on the content grain size broad range material characteristics, among which elastic ...

This paper examines the blood chamber of a left ventricular assist device (LVAD) under static loading conditions and standard operating temperatures. The LVAD’s walls are made of a temperature-sensitive polymer (ChronoFlex C 55D) and are covered with a titanium nitride (TiN) nano-coating (deposited by laser ablation) to improve their haemocompatibility. A loss of cohesion may be observed near t...

Abstract This contribution picks up on a novel approach for first order homogenization procedure based the Irving-Kirkwood theory and provides finite element implementation as well applications to beam plate structures. It does not have fundamental problems of dependency from representative volume (RVE) size in determining shear torsional stiffness beams plates, that is present classic Hill-Man...

A new procedure for identifying the mechanical behavior of individual phases within a bi-material (matrix-particles) is presented. The case AlSi10Mg (large globularized Si-rich particles surrounded by an α-Al phase) processed additive manufacturing and post-treated taken as typical example. Grids nano-indentation tests are performed at different locations on nanocomposite using Berkovich indent...

A dual-scale model is proposed to study the effect of microstructure parameters (grain size and grain boundary fracture energy) on thermal shock damage mechanism an example alumina. At microscale, representative volume element (RVE) models generated by Voronoi tessellation are simulated obtain mechanical for macro models. macroscale, a coupled thermomechanical based finite–discrete method (FDEM...

Considering the relationship between inhomogeneous plastic deformation and fatigue damage, inhomogeneity evolution failure of superalloy GH4169 under temperature 500 °C macro tension compression cyclic loading are studied, by using crystal plasticity calculation associated with polycrystalline representative Voronoi volume element (RVE). Different statistical standard deviation differential ent...