T. Krejčí¹, J. Kruis², M. Šejnoha², and T. Koudelka²
1)  Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague
Thákurova 7, 16629 Praha 6, Prague, Czech Republic
e-mail: krejci@fsv.cvut.cz
2) Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague
Thákurova 7, 16629 Praha 6, Prague, Czech Republic
{jaroslav.kruis, sejnom, tomas.koudelka}@fsv.cvut.cz

Keywords: Coupled Problems, Heterogeneous Materials, Masonry, Two-level, Homogenization, Processor Farming.

Abstract. This contribution presents a processor farming method in connection with a two-level homogenization method used in coupled analyses of heterogeneous and masonry materials and structures. In this approach, each macro-scopic integration point or each finite element is connected with a certain meso-scopic problem represented by an appropriate representative volume element (RVE). The solution of a meso-scale problem provides effective parameters needed on the macro-scale. Such an analysis is suitable for parallel computing because the meso-scale problems can be distributed among many processors. The macroproblem is assigned to the master processor while the solution of homogenization procedure at the meso-level is carried out on slave processors. At each time step, the current temperature, moisture, and mechanical fields together with the increments of their gradients at a given macro-scopic integration point are passed to the slave processor. Subsequently, homogenized data, effective properties, are sent back to the master processor. The application of the two-level approach with the processor farming method is illustrated by an analysis of a masonry arch bridge influenced by climatic conditions.