Finite-Element Modelling of Moving Weak Discontinuities Using Laminated Microstructures

Opis książki:

A new computational approach for modelling material and moving weak discontinuities (referred to as interfaces) is presented in this thesis. The modelling of moving interfaces, both from a theoretical and numerical point of view, has been a subject of research for many years, leading to various models and computational methods to be found in the literature. One such technique is the well-established phase-field method (PFM). Since this approach is not without weaknesses, one of the main aims of this dissertation is to address its limitations and compare it with a new proposed method. Results obtained using LET-PF have been subjected to an extensive comparative analysis, where they have been confronted with results from PFM and, if possible, with analytical solutions. This comparison leads to the conclusion that, in certain cases, LET-PF eliminates limitations of the conventional phase-field method, thus providing a significant advantage. Consequently, one of the main objectives of the dissertation has been achieved.