- The Finite Element Method
- K.J. Bathe
- Book Title / Journal: Wiley Encyclopedia of Computer Science and Engineering
- Year: 2008 , Volume: , Series:
- Structural Analysis
- Keywords: Finite element method
- Description
- The objective in this article is to give an overview of finite element methods that currently are used extensively in academia and industry. The method is described in general terms, the basic formulation is presented, and some issues regarding effective finite element procedures are summarized. Various applications are given briefly to illustrate the current use of the method. Finally, the article concludes with key challenges for the additional development of the method.
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- A new node-node to-node approach to contact/impact problems for two-dimensional elastic solids subject to finite deformation.
- X. Daqing ; K.D. Hjelmstad
- University of Illinois at Urbana-Champaign.
- Book Title / Journal:
- Year: 2008 , Volume: , Series:
- Structural Analysis
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- Three-Dimensional Seismic Analysis of Masonry Combined Systems
- N. Augenti ; F. Parisi
- Book Title / Journal: 14th World Conference on Earthquake Engineering
- Year: 2008 , Volume: , Series:
- Structural Analysis ; Structure types ; Masonry Structures ; Earthquake engineering
- Keywords: 3D seismic analysis ; non-uniform torsion theory ; Masonry Combined Systems
- Description
- Recent numerical analyses on some types of planar Masonry Combined Systems (MCSs) showed a great
variability of the lateral stiffness along the height, following to the mutual interaction between different parallel structural elements. This may induce significant eccentricities between centre of mass and centre of rigidity, in addition to the ones potentially due to U-shaped walls placed at the perimeter of the building or to irregular in-plan frame-wall dual systems. The mixed structure of the building becomes dramatically prone to damage
due to twist-induced displacements, so a 3D seismic analysis is required to account for its torsional response. In this paper a matrix algorithm for seismic analysis of structural systems formed by masonry or Reinforced Concrete (RC) shear walls (with or without openings), frames and structural cores, is proposed. Such lateral load-resisting elements are considered to be arbitrarily arranged in plan and subjected to a generic pattern of horizontal forces. The torsional stiffness matrix of the cores is built up by means of the non-uniform torsion theory and the stiffness matrix of the whole mixed structure is subsequently defined. The presented analytical formulation provides a good prediction of the seismic behaviour of torsionally
eccentric buildings with MCSs, and allow to evaluate strength and displacement demands.
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- Prediction of Fatigue Strength in Plain and Reinforced Concrete Beams
- T. Sain
- ACI Structural Journal
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis ; Fatigue
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- Modeling of Strain Penetration Effects in Fiber-Based Analysis of Reinforced Concrete Structures
- J. Zhao
- ACI Structural Journal
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- Recent Advances in Fire-Structure Analysis
- D. Duthinh ; K.B. McGrattan ; A. Khaskia
- Technical Memorandum of PWRI 4075; Wind and Seismic Effects. U.S./Japan Natural Resources Development Program (UJNR). Joint Meeting, 39th. Proceedings, Tsukuba, Japan, pp. 310-319
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- Analyzing the effects of blast loads on bridges using probability, structural analysis, and performance criteria
- E.E. Mahoney
- Msc Thesis, Department of Civil Engineering, University of Maryland
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- A Novel flexibility based beam-column element for nonlinear analysis of reinforced concrete frames
- H.R. Valipour ; S.J. Foster
- UNICIV Report No. R-447, School of Civil and Environmental Engineering, The University of New South Wales
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- Analysis of masonry structures: review of and recent trends in homogenization techniques
- P.B. Lourenco ; G. Milani ; A. Tralli ; A. Zucchini
- Canadian Journal of Civil Engineering, Vol. 34, No. 11, pp. 1443-1457. NRC Canada
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- Mechanics of masonry in compression: Results from a homogenisation approach
- P.B. Lourenco ; A. Zucchini
- Computers and Structures 85, pp. 193?204. Elsevier Ltd
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- Damage detection of flexural member by estimated moment diagram
- E.T. Lee ; H.C. Eun
- The Open Construction and Building Technology Journal, 1, 1-7
- Book Title / Journal:
- Year: 2007 , Volume: , Series:
- Structural Analysis
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- An element-based displacement preconditioner for linear elasticity problems.
- C.E. Augarde ; A. Ramage ; J. Staudacher
- Computers and Structures, Vol. 84, pages 2306–2315.
- Book Title / Journal:
- Year: 2006 , Volume: , Series:
- Structural Analysis
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- On direct time integration in large deformation dynamic analysis
- M.M.I. Baig ; K.J. Bathe
- Book Title / Journal: Computational Fluid and Solid Mechanics
- Year: 2005 , Volume: , Series:
- Structural Analysis
- Keywords: Direct time integration ; Nonlinear dynamic analysis ; Stability
- Description
- Direct time integration is used widely for the solution of large deformation problems in solid and structural mechanics. Direct integration schemes that are unconditionally stable for linear dynamic problems are also used for nonlinear problems. However, unconditional stability may be lost in the nonlinear regime. The Newmark method (trapezoidal rule) is used widely but may become unstable when large deformations and long time durations are considered. A composite scheme is proposed for such analysis cases, and the results obtained using the trapezoidal rule and the composite formula in a test problem are given. These results indicate the value of the composite scheme.
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- On a composite implicit time integration procedure for nonlinear dynamics
- K.J. Bathe ; M.M. Irfan Baig
- Book Title / Journal: Computers and Structures
- Year: 2005 , Volume: 83 , Series:
- Structural Analysis
- Keywords: Direct time integration ; Nonlinear dynamic analysis ; Stability
- Description
- Transient analysis of nonlinear problems in structural and solid mechanics is mainly carried out using direct time integration of the equations of motion. For reliable solutions, a stable and efficient integration algorithm is desirable. Methods that are unconditionally stable in linear analyses appear to be a natural choice for use in nonlinear analyses,
but unfortunately may not remain stable for a given time step size in large deformation and long time range response solutions. A composite time integration scheme is proposed and tested in some example solutions against the trapezoidal rule and the Wilson h-method, and found to be effective where the trapezoidal rule fails to produce a stable solution. These example results are indicative of the merits of the composite scheme.
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- On a Theoretical and Computational Framework for Large Strain Anisotropic Plasticity
- F.J. Montáns ; K.J. Bathe
- Book Title / Journal: Proceedings 8th International Conference on Computational Plasticity
- Year: 2005 , Volume: , Series:
- Structural Analysis
- Keywords: Large strains ; Plasticity ; Anisotropic Behavior
- Description
- The modelling of large strain anisotropic plasticity based on hyperelasticity, the multiplicative decomposition into the elastic and plastic deformation gradients, and the use of the logarithmic strain measure and its work-conjugate stress measure are considered. The integration of the plastic deformation gradient is performed using an exponential mapping. First, the continuum mechanics formulation of the proposed theory is given, and then some results considering anisotropic elastic behavior, anisotropic yield
functions and mixed hardening are summarized.
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