Numerické modelování rychlých dějů

Abstract

The dissertation thesis deals with research of strain-rate dependency on the dynamic material behavior and application on numerical computing with the finite element method. A mathematical description of the stress wave propagation in materials and the stress waves categorization is given. As a part of the research a testing apparatus is designed and built. The testing apparatus measures the response of the material on impact loading using strain gauges. The drawings and the technical datasheets of the designed equipment are included in this dissertation. The list of available options and techniques for the dynamic material testing and the most used mathematical models for material description are incorporated in the document. A derivation of an explicit and an implicit algorithm is presented and both algorithms are compared. Explicit algorithms are widely used for numerical analyses of impact loaded structures using the finite element method. An application of the explicit algorithm is used for verification of the results given by the designed testing apparatus and calculation of case studies. The passive occupant safety in last parts of the thesis are analyzed by an explicit numerical calculation too.