@ARTICLE{Smyczyński_M.J._Wytrzymałość_2016, author={Smyczyński, M.J. and Magnucka-Blandzi, E.}, volume={Strength of the three layer beam with two binding layers}, number={No 3}, journal={Archives of Civil Engineering}, pages={189-206}, howpublished={online}, year={2016}, publisher={WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES}, abstract={The paper is devoted to the strength analysis of a simply supported three layer beam. The sandwich beam consists of: two metal facings, the metal foam core and two binding layers between the faces and the core. In consequence, the beam is a five layer beam. The main goal of the study is to elaborate a mathematical model of this beam, analytical description and a solution of the three-point bending problem. The beam is subjected to a transverse load. The nonlinear hypothesis of the deformation of the cross section of the beam is formulated. Based on the principle of the stationary potential energy the system of four equations of equilibrium is derived. Then deflections and stresses are determined. The influence of the binding layers is considered. The results of the solutions of the bending problem analysis are shown in the tables and figures. The analytical model is verified numerically using the finite element analysis, as well as experimentally.}, type={Artykuły / Articles}, title={Wytrzymałość trójwarstwowej belki z warstwami łączącymi}, URL={http://www.journals.pan.pl/Content/84132/mainfile.pdf}, keywords={metalowe pianki, ugięcie, naprężenia główne, hipoteza nieliniowa, rozwiązanie analityczne, metal foams, sandwich beams, deflections, stresses, analytical description and solution, nonlinearhypothesis}, }