id: 02232905 dt: j an: 02232905 au: Urbaski, Aleksander ti: Homogenization of cellular geo-composites using modified finite element formulation. so: Adv. Eng. Softw. 35, No. 10-11, 679-692 (2004). py: 2004 pu: Elsevier Science Ltd., Oxford la: EN cc: ut: homogenization; finite elements; periodic composites; cellular geo-composites; membranes; contact ci: li: doi:10.1016/j.advengsoft.2004.03.016 ab: Summary: The paper presents a finite element solution of a local homogenization problem applied to a cellular geo-composite. A modified finite element formulation of the micro-level analysis of a representative cell of the periodic composite is presented, which incorporates macro-deformation parameters (average strains) as additional degrees of freedom of the system. Besides continuum elements specialized finite elements such as membranes and interfaces used at the micro-level are also put into the unified framework of the homogenization analysis.In the given formulation of the homogenization problem, material nonlinearities of the composite components and interfaces can be taken into account.Two modeling options of the cellular geo-composite are investigated: simplified two-dimensional (generalized plane strain) and full 3D. Exemplary results representing numerically created path in macro-stress/strain space, stiffness module, as well as deformation and stress decomposition within micro-structure are shown. rv: