mathematical simulation

Technology of Building Femur Bones Solid Models Based on Data from Computerized Axial Tomography

In this article we describe the technology used to build femur bone 3D models based on Computerized Axial Tomography data. This project is titled «Development of Computational and information technologies using computer modeling on parallel computing complexes for traumatological and surgical evaluations to enable efficient diagnostic and medical recommendations».

Graph approach for finite-element based model of an elastic body under conditions of axisymmetric deformation

 A numerical method for analysis of the stress – strain state of elastic media based on a discrete model in form of directed graph is suggested. To analyze a deformable body using the graph approach, we partitione a solid body on elements and replace each element by its model in the form of an elementary cell. The matrices, presenting several structure elements of the graph, and the equations, describing the elementary cells, contribute to deriving the constitutive equations of the intact body.