This paper focuses on the implementation of the MLPG formulation for layered plates. For this purpose implementaton of homogenization theory was required and analyses were performed in order to obtain homogenized material properties of composite plates. Software for homogenization of material properties uses direct homogenization method that is based on volume average of stresses in the representative volume element (RVE). Homogenization is performed by linking MATLAB and ANSYS software. Obtained data are used in analyses carried out in own software which is based on the MLPG method. Strain, stress and displacement fields were evaluated. Results obtained by MLPG were compared with those obtained by FEM programs ANSYS and ABAQUS. 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.