- Stability of steel columns with non-uniform cross-sections
- G.T. Michaltsos ; I.G. Raftoyiannis ; T.G. Konstantakopoulos
- The Open Construction and Building Technology Journal, 6, 1-7
- Book Title / Journal:
- Year: 2012 , Volume: , Series:
- Structural Analysis
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- Fatigue-prone details in steel bridges.
- R. Haghani ; M. Al-Emrani ; M. Heshmati
- Buildings, Vol. 2, No.4, pages 456-476.
- Book Title / Journal:
- Year: 2012 , Volume: , Series:
- Structural Analysis ; Fatigue
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- A stress improvement procedure
- D.J. Payen ; K.J. Bathe
- Book Title / Journal: Computers and Structures
- Year: 2012 , Volume: , Series:
- Structural Analysis
- Keywords: Finite element stress calculation ; Low-order displacement-based elements
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- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- L.B. Veiga ; C. Lovadina ; A. Reali
- Book Title / Journal: Comput. Methods Appl. Mech. Engrg
- Year: 2012 , Volume: 241-244 , Series:
- Structural Analysis
- Keywords: Isogeometric analysis ; Timoshenko beam ; Collocation methods
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- Advances in the Multiphysics Analysis of Structures
- K.J. Bathe
- Book Title / Journal:
- Year: 2012 , Volume: , Series:
- Structural Analysis
- Keywords: Finite elements ; wave propagations ; shells ; Large strains ; Maxwell’s equations ; electromechanics
- Description
- In this presentation we survey the advances that we have recently accomplished for the effective analysis of solids and structures, specifically for wave propagations and transient solutions, the analysis of shells, improved stress calculations, the use of interpolation covers, and the solution of the full Maxwell’s equations. The structures may be subjected to complex fluid flows and electromagnetic effects. We briefly give the theoretical developments for the formulations, a few illustrative solutions, and conclude by mentioning some further exciting research challenges.
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- A finite element method enriched for wave propagation problems
- S. Ham ; K.J. Bathe
- Book Title / Journal: Computers and Structures
- Year: 2012 , Volume: , Series: 94-95
- Structural Analysis
- Keywords: Wave propagation ; Spectral methods ; Enriched finite elements
- Description
- An enriched finite element method is presented to solve various wave propagation problems. The
proposed method is an extension of the procedure introduced by Kohno, Bathe, and Wright for onedimensional problems [1]. Specifically, the novelties are: two-dimensional problems are solved (and three-dimensional problems would be tackled similarly), a scheme is given to overcome ill-conditioning, the method is presented for time-dependent problems, and focus is on the solution of problems in solids and structures using real arithmetic only. The method combines advantages of finite element and spectral techniques, but an important point is that it preserves the fundamental properties of the finite element method. The general formulation of the procedure is given and various examples are solved to illustrate the capabilities of the proposed scheme.
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- Crushing and crashing of tubes with implicit time integration
- Z. Kazancı ; K.J. Bathe
- Book Title / Journal: International Journal of Impact Engineering
- Year: 2012 , Volume: , Series: 42
- Structural Analysis
- Keywords: Dynamic axial crushing ; Implicit time integration ; Bathe method ; 3D-shell element
- Description
- The axial crushing and crashing of thin-walled high-strength steel tubes is performed using 3D-shell finite elements and an implicit time integration scheme. The calculated results are compared with published experimental data and results obtained using explicit time integration. The objective is to show that, while for such analyses generally explicit time integration is used, with the current state of the art also an implicit time integration solution should be considered, and such solution approach can provide an effective alternative for a simulation.
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- Insight into an implicit time integration scheme for structural dynamics
- K.J. Bathe ; G. Noh
- Book Title / Journal: Computers and Structure
- Year: 2012 , Volume: , Series: 98-99
- Structural Analysis
- Keywords: structural dynamics ; Finite elements ; Implicit time integration ; Newmark method
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- Mixed 3D Beam Models: Differential Equation Derivation and Finite Element Solutions
- F. Auricchio ; G. Balduzzi ; C. Lovadina
- Book Title / Journal: European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
- Year: 2012 , Volume: , Series:
- Structural Analysis
- Keywords: Hellinger-Reissner principle ; 3D beam model ; dimensional reduction ; mixed beam finite element
- Description
- In this document we illustrate the dimensional-reduction approach applied to 3D solid elastic equations in order to obtain a beam model.
We start from the Hellinger-Reissner (HR) principle, in a formulation which guarantees the selection of a compatible solution in a family of equilibrated fields. Then, we introduce a semidiscretization within the cross-section, this allows to reduce the problem’s dimension from 3D to 1D and to formulate the beam model. After a manipulation of the 1D weak model (done in order to guarantee the selection of an axis-equilibrated solution in a family of axis-compatible fields), we introduce a discretization along the beam axis obtaining the related beam Finite Element (FE).
On one hand, the initial HR principle formulation leads to an accurate stress analysis into the cross-section, on the other hand, the 1D model manipulation leads to an accurate displacement
analysis along the beam-axis. Moreover, the manipulation allows to statically condensate
stresses out at element level, improving the numerical efficiency of the FE algorithm.
In order to illustrate the capability of the method, we consider a slim cross-section beam that shows non trivial behaviour in bending and for which the analytical solution is available in literature. Numerical results are accurate in description of both displacement and stress variables, the FE solution converges to the analytical solution, and the beam FE models complex phenomena like anticlastic bending and boundary effects.
- Abstract
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- Advanced Computational Engineering
- O. Allix ; C. Carstensen ; J. Schroder ; P. Wriggers
- Book Title / Journal: Mathematisches Forschungsinstitut Oberwolfach
- Year: 2012 , Volume: , Series: Report No. 09/2012
- Structural Analysis
- Keywords: Finite element method
- Description
- The finite element method is the established simulation tool for the numerical solution of partial differential equations in many engineering problems with many mathematical developments such as mixed finite element methods (FEMs) and other nonstandard FEMs like least-squares, nonconforming, and discontinuous Galerkin (dG) FEMs. Various aspects on this plus related topics ranging from order-reduction methods to isogeometric analysis has been discussed amongst the pariticpants form mathematics and engineering for a large range of applications.
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- The MITC9 shell element in plate bending: mathematical analysis of a simplified case
- K.J. Bathe ; F. Brezzi ; L.D. Marini
- Book Title / Journal: Computational Mechanics
- Year: 2011 , Volume: 47 , Series:
- Structural Analysis
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- A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys
- J. Arghavani ; F. Auricchio ; R. Naghdabadi
- Book Title / Journal: International Journal of Plasticity
- Year: 2011 , Volume: 27 , Series:
- Structural Analysis
- Keywords: Kinematic hardening ; Shape memory alloys ; Logarithmic strain
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- Soft Computing Based Srtructural Optimization for Earthquake.
- S. Gholizadeh ; E. SalajeghehJung
- Asian Journal of Civil Engineering (Building and Housing), Vol. 12, No. 4, pages 415-429
- Book Title / Journal:
- Year: 2011 , Volume: , Series:
- Structural Analysis
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- Optimum Design of Plate Structures Using Binary Particle Swarm Optimization.
- A. Hadidi ; L. Gholipour ; B. Farhmand Azar
- Asian Journal of Civil Engineering (Building and Housing), Vol. 12, No. 4, pages 477-486.
- Book Title / Journal:
- Year: 2011 , Volume: , Series:
- Structural Analysis
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- Discounted Cash Flow Time-Cost Trade-Off Problem Optimization; ACO Approach.
- K. Aladini ; A. Afshar ; E. Kalhor
- Asian Journal of Civil Engineering (Building and Housing), Vol. 12, No. 4, pages 511-522.
- Book Title / Journal:
- Year: 2011 , Volume: , Series:
- Structural Analysis
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