Eğri yapı elemanları için karma formulasyon kiriş sonlu elemanı

A curved beam element based on a three-field variational formulation with independent displacement, stress, and strain fields is developed. The displacement field is adapted from Timoshenko beam theory for curved geometry. The nonlinear response of the element arises from the integration of stress-strain relations over several control sections along the element length. The finite element approximation for the beam uses shape functions for stress resultants that satisfy equilibrium and discontinuous strains along the beam. No approximation for the beam displacement field is necessary in the formulation. The proposed element is free from membrane and shear locking. Examples verify the superior performance of the model under linear and nonlinear material conditions.
16. Ulusal Mekanik Kongresi, 22 - 26 June 2009


A Three dimensional mixed formulation nonlinear frame finite element based on hu-washizu functional
Soydaş, Ozan; Sarıtaş, Afşin; Department of Civil Engineering (2013)
A three dimensional nonlinear frame finite element is presented in this analytical study by utilizing Hu-Washizu principle with three fields of displacement, strain and stress in the variational form. Timoshenko beam theory is extended to three dimensions in order to derive strains from the displacement field. The finite element approximation for the beam uses shape functions for section forces that satisfy equilibrium and discontinous section deformations along the beam. Nonlinear analyses are performed by...
Quantum mechanics on curved hypersurfaces
Olpak, Mehmet Ali; Tekin, Bayram; Department of Physics (2010)
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac’s quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the fir...
Investigation of cell migration and proliferation in agarose based hydrogels for tissue engineering applications
Vardar, Elif; Hasırcı, Nesrin; Hasırcı, Vasıf Nejat; Department of Biomedical Engineering (2010)
Hydrogels are three dimensional, insoluble, porous and crosslinked polymer networks. Due to their high water content, they have great resemblance to natural tissues, and therefore, demonstrate high biocompatibility. The porous structure provides an aqueous environment for the cells and also allows influx of nutrients needed for cellular viability. In this study, a natural biodegradable material, agarose (Aga), was used and semi-interpenetrating networks (semi-IPN) were prepared with polymers having differen...
Ageing characteristics of copper based shape memory alloys
Tarhan, Elif; Bor, Şakir; Department of Metallurgical and Materials Engineering (2004)
Martensite-to-Beta transformation temperatures of CuAlNiMn and CuAlNi shape memory alloys has been determined by differential scanning calorimetry (DSC). In CuAlNiMn alloys, each new betatizing treatment has resulted in randomly varying transformation temperatures on the same specimen and an anomalously diffuse and serrated Martensite-to-Beta transformation peaks in the first cycle. Therefore, as quenched alloy samples were thermally cycled for three times in DSC prior to ageing to obtain thermally stable a...
A composite frame/joint super element for structures strengthened by externally bonded steel/FRP plates
Kaymak, Yalçın; Polat, Mustafa Uğur; Department of Civil Engineering (2003)
A materially non-linear layered beam super element is developed for the analysis of RC beams and columns strengthened by externally bonded steel/FRP plates. The elasto-plastic behavior of RC member is incorporated by its internally generated or externally supplied moment-curvature diagram. The steel plate is assumed to be elasto-plastic and the FRP laminate is assumed to behave linearly elastic up to rupture. The thin epoxy layer between the RC member and the externally bonded lamina is simulated by a speci...
Citation Formats
A. Sarıtaş, “Eğri yapı elemanları için karma formulasyon kiriş sonlu elemanı,” Kayseri, Turkey, 2009, p. 1209, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/87469.