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Formulation and evaluation of incompatible but convergent rational quadrilateral membrane elements
Batoz, J.L.,Hammadi, F.,Zheng, C.,Zhong, W. Techno-Press 2000 Structural Engineering and Mechanics, An Int'l Jou Vol.9 No.2
This paper presents four incompatible but convergent Rational quadrilateral elements, two four-node elements (RQ4Z and RQ4B) and two five-node elements (RQ5Z and RQ5B). The difference between the so-called Rational Finite Element (Zhong and Zeng 1996) and the Free Formulation (Bergan and Nygard 1984) are discussed and compared. The importance of the mode completeness in these formulations is emphasized. Numerical results for several benchmark problems show the good performance of these elements. The two five-nodes elements RQ5Z and RQ5B, which can be viewed as complete quadratic mode elements (with seven stress modes), always give better results than the four nodes elements RQ4Z and RQ4B.
On the finite element modeling of a particular shallow foundation system for soft soil
Soelarso, Soelarso,Antaluca, Eduard,Batoz, Jean-Louis,Lamarque, Fabien Techno-Press 2021 Coupled systems mechanics Vol.10 No.3
The presentation deals with an investigation on the static and dynamic behavior of a five floors reinforced concrete building supported by a shallow foundation system, called SNSF (Spider Net System Footing). The present study concentrates on the linear static under permanent and life vertical loads and on the free vibrations of the upper structure and the foundations. The study based on performing 3D solid finite elements includes the soil underneath (one layer of 2 m and an additional layer of 9 m). Several aspects are investigated like: the structural analysis of the SNSF foundation compared to a simpler raft foundation and the soil-foundation interaction of the soil and the structure-foundation system on the first frequencies and modes of vibration.
Nguyen, Cong-Uy,Batoz, Jean-Louis,Ibrahimbegovic, Adnan Techno-Press 2021 Coupled systems mechanics Vol.10 No.3
In this paper, we discuss about the notable locking-free techniques of several simple plate bending finite elements for the Reissner-Mindlin plate bending theory. The brief background for Reissner-Mindlin plate theory is presented, in which stress and strain derivation are given along with one-field and two-field variational approaches. Afterwards, we classify several efficient robust techniques in a cluster of main categories to present sequentially, which are all able to overcome the locking phenomenon in thick plate bending problems. Only selective algorithms are programmed to conduct numerical simulations. The corresponding results are compared between these elements to show their performances.
Soelarso Soelarso,Jean-Louis Batoz,Eduard Antaluca,Fabien Lamarque Techno-Press 2023 Coupled systems mechanics Vol.12 No.5
The paper deals with the finite element modelling of the free vibration and structural behavior of a particular four-floor reinforced concrete structure subjected to static equivalent seismic loads and supported by a shallow foundation system called SNSF (Spider Net System Footing). The two FE models are a simple 2D Matlab model and a detailed 3D model based on solid elastic elements using Altairworks (Hypermesh and Optistruct). Both models can simulate the soil structure interaction. We concentrate on the behavior of a representative cell involving two columns on five levels. The influence of the boundary conditions on the external vertical planes of the domain are duly studied. The Matlab model appears relevant for a primary estimation of frequencies and stiffness of the whole structure under vertical and lateral loads.