Mathematical modeling of fibre composite materials is very difficult because of their random values of the coefficient describing mechanical properties of their separate phases. For the computational reasons, the real materials, i.e. materials with non-periodic structure are replaced by ‘equivalent‘ structures having almost the same mechanical properties. To the implementation of this, the various algorithms were developed for generating an ‘equivalent‘ structures, which will be similar to the real one as much as possible. Therefore some simple methodology for a statistical comparing of different structures developed by different algorithms is needed. and Obsahuje seznam literatury
Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. Reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems.