Short waves are widely used in ultrasound research (e.g. to find cracks in tanks) as their length is significantly shorter than the dimensions of the structure. It is possible to define the elastic parameters of the material and other properties (e.g. internal structure) according to the behaviour of the short wave. Numerical simulation of the physical behaviour of the short waves enables to evaluate the problem accurately enough in a practical level and reduce the number of experiments.
However, numerical simulation requires high computational resources such as computational time and memory if the tiny details are included in the model. The required resources can be reduced for the specific structure if only the main details and features are included. In case the short waves propagate in micro or nano structures, some factors (e.g. surface stresses) cannot be neglected, because they are important in these scales. If these factors are taken into account, the duration of the numerical simulation and required resources of computational resources are not practically acceptable. That is why the multiscale modelling is applied by analysing a structure or its representative parts with respect to the material or structural properties characteristic for this scale. In the tiniest scale the physical behaviour is simulated by considering the internal geometrical structure of the material, consisting materials and other heterogenic properties. In the larger scales, the physical behaviour is analysed in the structure or its parts by applying higher order finite element models or modifications of finite element method (XFEM, SAFE). Results obtained in different scales enable to simulate physical behaviour of short waves with the practically acceptable resources of computational time and memory.
Project funding:
KTU R&D&I Fund
Period of project implementation: 2018-04-03 - 2018-12-31
