@ARTICLE{Siwiński_J._Homogeneous_2018, author={Siwiński, J. and Stolarski, A.}, volume={Vol. 64}, number={No 1}, journal={Archives of Civil Engineering}, pages={87-99}, howpublished={online}, year={2018}, publisher={WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES}, abstract={This paper outlines a method of determining the deformation and strength parameters for a hypothetical, homogeneous, substitute material which approximates the properties of heterogeneous materials in reinforced concrete elements. The model of the substitute material creates a concrete reference model, in which the static - strength - deformation parameters were modified on the basis of the homogenizing function with the homogenization coefficient assumed as the effective reinforcement ratio of the reinforced concrete structural elements. The results of the comparative analysis of the numerical models using the hypothetical substitute material with experimental results for statically loaded beams and deep beams taken from the literature are presented.}, type={Article}, title={Homogeneous substitute material model for reinforced concrete modeling}, URL={http://journals.pan.pl/Content/115556/PDF-MASTER/pan_doi_blank.pdf}, keywords={Homogeneous substitute material, Numerical analysis, Reinforced concrete modelling}, }