Application of isogeometric analysis to modeling of elastic deformation in dual phase materials by using statistically similar representative volume element on heterogeneous hardware devices

Daniel Bachniak, Łukasz Rauch

AGH University of Science and Technology,al. A. Mickiewicza 30, 30-059 Kraków, Poland.

DOI:

https://doi.org/10.7494/cmms.2015.4.0551

Abstract:

Statistically Similar Representative Volume Element (SSRVE) is a methodology applied for reduction of complexity of material microstructure representation for dual phase materials like DP steels or composites. It is based on assumption that typical RVE can be further reduced into simplified form, which joined together periodically behaves the same as its larger equivalent. SSRVE is based on Non-Uniform Rational B-Splines representation and determined by using optimization procedure, where objective function includes comparison of mechanical properties, shape coefficients and statistical characteristics. The first of these elements requires application of Finite Element Method (FEM) allowing to simulate deformation of pattern RVE and current SSRVE within elastic or elastic-plastic range. This paper presents approach allowing to replace time consuming FEM with more efficient Isogeometric Analysis (IGA). The performance of new approach is analysed and compared to conventional FEM-based methodology. Special attention is put on possibilities of IGA implementation on heterogeneous hardware devices allowing to improve computational efficiency and decrease overall power consumption.

Cite as:

Bachniak, D., & Rauch, Ł. (2015). Application of isogeometric analysis to modeling of elastic deformation in dual phase materials by using statistically similar representative volume element on heterogeneous hardware devices. Computer Methods in Materials Science, 15(4), 447-458. https://doi.org/10.7494/cmms.2015.4.0551

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