Abstract
The subject of this paper is the analysis of crack initiation and propagation in barium titanate ceramic using the boundary element method. In micro-mechanical analyses, it is very important to have information on the real microstructure of a material. A barium titanate pellet was prepared using a solid-state technique. The boundary element method is used so that it can be combined with three different grain boundary formulations for the investigation of micro-mechanics as well as crack initiation and propagation in a piezoelectric actuator. In order to develop a numerical programming algorithm, suitable models of polycrystalline aggregate and representative volume elements have been prepared for boundary element analysis.
Highlights
A The boundary element method (BEM) is one of the favourite optimised numerical computational methods used by scientists in many areas of engineering and science including fracture mechanics, fluid mechanics, and geology
Uniform traction was chosen as the boundary condition. It can be concluded from this figure that the path of crack initiation which is predicted in the current work via the boundary element method and the introduction of cohesive law is almost the same as the one developed by Verhoosel and Gutiérrez [20]
Summary and conclusions The structural model of representative volume element (RVE) was obtained based on the microstructure of the BaTiO3 ceramic that was prepared
Summary
A The boundary element method (BEM) is one of the favourite optimised numerical computational methods used by scientists in many areas of engineering and science including fracture mechanics, fluid mechanics, and geology. The application of the boundary element method in micromechanics and multiscale modelling has been studied by a number of researchers [11,12,13]. In some of these studies, researchers only modelled materials at micro scale and with the cohesive law, averaging theory or nonlocal theories were not used.
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