Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen
OPUS4-2078 Dissertation Nguyen-Thanh, Nhon Isogeometric analysis based on rational splines over hierarchical T-mesh and alpha finite element method for structural analysis This thesis presents two new methods in finite elements and isogeometric analysis for structural analysis. The first method proposes an alternative alpha finite element method using triangular elements. In this method, the piecewise constant strain field of linear triangular finite element method models is enhanced by additional strain terms with an adjustable parameter a, which results in an effectively softer stiffness formulation compared to a linear triangular element. In order to avoid the transverse shear locking of Reissner-Mindlin plates analysis the alpha finite element method is coupled with a discrete shear gap technique for triangular elements to significantly improve the accuracy of the standard triangular finite elements. The basic idea behind this element formulation is to approximate displacements and rotations as in the standard finite element method, but to construct the bending, geometrical and shear strains using node-based smoothing domains. Several numerical examples are presented and show that the alpha FEM gives a good agreement compared to several other methods in the literature. Second method, isogeometric analysis based on rational splines over hierarchical T-meshes (RHT-splines) is proposed. The RHT-splines are a generalization of Non-Uniform Rational B-splines (NURBS) over hierarchical T-meshes, which is a piecewise bicubic polynomial over a hierarchical T-mesh. The RHT-splines basis functions not only inherit all the properties of NURBS such as non-negativity, local support and partition of unity but also more importantly as the capability of joining geometric objects without gaps, preserving higher order continuity everywhere and allow local refinement and adaptivity. In order to drive the adaptive refinement, an efficient recovery-based error estimator is employed. For this problem an imaginary surface is defined. The imaginary surface is basically constructed by RHT-splines basis functions which is used for approximation and interpolation functions as well as the construction of the recovered stress components. Numerical investigations prove that the proposed method is capable to obtain results with higher accuracy and convergence rate than NURBS results. 196 urn:nbn:de:gbv:wim2-20131125-20781 10.25643/bauhaus-universitaet.2078 Professur Baustatik und Bauteilfestigkeit
OPUS4-3394 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Kiendl, J.; Nguyen-Xuan, Hung; Wüchner, R.; Bletzinger, Kai-Uwe; Bazilevs, Yuri; Rabczuk, Timon Rotation free isogeometric thin shell analysis using PHT-splines Rotation free isogeometric thin shell analysis using PHT-splines 14 Computer Methods in Applied Mechanics and Engineering 3410 3424 Institut für Strukturmechanik (ISM)
OPUS4-3337 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Muthu, Jacob; Zhuang, Xiaoying; Rabczuk, Timon An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics 16 Computational Mechanics 369 385 Institut für Strukturmechanik (ISM)
OPUS4-3342 Wissenschaftlicher Artikel Chen, Lei; Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane Pierre Alain; Limbert, Georges Explicit finite deformation analysis of isogeometric membranes Explicit finite deformation analysis of isogeometric membranes 26 Computer Methods in Applied Mechanics and Engineering 104 130 Institut für Strukturmechanik (ISM)
OPUS4-3396 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Rabczuk, Timon; Nguyen-Xuan, Hung; Bordas, Stéphane Pierre Alain An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates 16 Finite Elements in Analysis & Design 519 535 Institut für Strukturmechanik (ISM)
OPUS4-3401 Wissenschaftlicher Artikel Nguyen-Xuan, Hung; Rabczuk, Timon; Nguyen-Thanh, Nhon; Nguyen-Thoi, T.; Bordas, Stéphane Pierre Alain A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates 22 Computational Mechanics 679 701 Institut für Strukturmechanik (ISM)
OPUS4-3407 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Rabczuk, Timon; Nguyen-Xuan, Hung; Bordas, Stéphane Pierre Alain An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes 23 Journal of Computational and Applied Mathematics 2112 2135 Institut für Strukturmechanik (ISM)
OPUS4-3395 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Nguyen-Xuan, Hung; Bordas, Stéphane Pierre Alain; Rabczuk, Timon Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids 16 Computer Methods in Applied Mechanics and Engineering 1892 1908 Institut für Strukturmechanik (ISM)
OPUS4-3292 Wissenschaftlicher Artikel Thai, Chien H.; Nguyen-Xuan, Hung; Bordas, Stéphane Pierre Alain; Nguyen-Thanh, Nhon; Rabczuk, Timon Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory 18 Mechanics of Advanced Materials and Structures 451 469 Institut für Strukturmechanik (ISM)
OPUS4-3400 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Thai-Hoang, C.; Nguyen-Xuan, Hung; Rabczuk, Timon A smoothed finite element method for the static and free vibration analysis of shells A smoothed finite element method for the static and free vibration analysis of shells 12 Journal of Civil Engineering and Architecture 13 25 Institut für Strukturmechanik (ISM)
OPUS4-2877 Konferenzveröffentlichung Nguyen-Thanh, Nhon; Rabczuk, Timon Gürlebeck, Klaus; Könke, Carsten A SMOOTHED FINITE ELEMENT METHOD FOR THE STATIC AND FREE VIBRATION ANALYSIS OF SHELLS A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples. 24 urn:nbn:de:gbv:wim2-20170314-28777 10.25643/bauhaus-universitaet.2877 Institut für Strukturmechanik (ISM)
OPUS4-3382 Wissenschaftlicher Artikel Thai, Chien H.; Nguyen-Xuan, Hung; Nguyen-Thanh, Nhon; Le, T.H.; Nguyen-Thoi, T.; Rabczuk, Timon Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones. 32 International Journal for Numerical Methods in Engineering 571 603 10.1002/nme.4282 Institut für Strukturmechanik (ISM)
OPUS4-3389 Wissenschaftlicher Artikel Nguyen-Xuan, Hung; Rabczuk, Timon; Nguyen-Thoi, T.; Tran, T.; Nguyen-Thanh, Nhon Computation of limit and shakedown loads using a node-based smoothed finite element method This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal-dual algorithm. An associated primal-dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal-dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods. 23 International Journal for Numerical Methods in Engineering 287 310 10.1002/nme.3317 Institut für Strukturmechanik (ISM)
OPUS4-3296 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Valizadeh, Navid; Nguyen, Manh Hung; Nguyen-Xuan, Hung; Zhuang, Xiaoying; Areias, Pedro; Zi, Goangseup; Bazilevs, Yuri; De Lorenzis, Laura; Rabczuk, Timon An extended isogeometric thin shell analysis based on Kirchhoff-Love theory An extended isogeometric thin shell analysis based on Kirchho_-Love theory 26 Computer Methods in Applied Mechanics and Engineering 265 291 Institut für Strukturmechanik (ISM)