Computationally Efficient Algorithms for Evaluation of Statistical Descriptors

Jan Havelka, Anna Kucerova, Jan Sykora
Faculty of Civil Engineering, Czech Technical University in Prague, Thakurova 7/2077, 166 29, Prague, CZ
18th International Conference Engineering Mechanics, 2012



   author={Havelka, J. and Kucerov{‘a}, A. and S{`y}kora, J.},



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Homogenization methods are becoming the most popular approach to modelling of heterogeneous materials. The main principle is to represent the heterogeneous microstructure with an equivalent homogeneous material. When dealing with the complex random microstructures, the unit cell representing exactly periodic morphology needs to be replaced by a statistically equivalent periodic unit cell (SEPUC) preserving the important material properties in the statistical manner. One of the statistical descriptors suitable for SEPUC definition is the lineal path function. It is a low-order descriptor based on a more complex fundamental function able to capture certain information about the phase connectedness. Its main disadvantage is the computational cost. In this contribution, we present the reformulation of the sequential C code for evaluation of the lineal path function into the parallel C code with Compute Unified Device Architecture (CUDA) extensions enabling the usage of computational potential of the NVIDIA graphics processing unit (GPU).
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