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  • 1
    Electronic Resource
    Electronic Resource
    DOMAIN DECOMPOSITION FOR FINITE ELEMENT ANALYSIS (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 61-71 
    Details
    ISSN: 1069-8299
    Keywords: domain decomposition ; finite element ; level structure ; genre structure ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An efficient algorithm is developed for automatic partitioning of unstructured meshes for the parallel solution of problems in the finite element method. The algorithm partitions a domain into subdomains with approximately equal loads and good aspect ratios, while the interface nodes are confined to the smallest possible. © 1997 John Wiley & Sons, Ltd.
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  • 2
    Electronic Resource
    Electronic Resource
    DAMAGE OCCURRENCE UNDER DYNAMIC LOADING FOR STRAIN RATE SENSITIVE MATERIALS (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 113-126 
    Details
    ISSN: 1069-8299
    Keywords: metals ; finite element ; damage ; dynamic ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: To predict damage evolution occurring under dynamic loading, a damage model is implemented inside the explicit finite element framework. The damage model is based on the description of the growth, the nucleation and the coalescence of the microvoids. The microvoid growth is related to the plastic incompressibility relation. The microvoid nucleation is either controlled by the plastic strain or by the stress. The microvoid coalescence is described by a specific function. This damage process leads to the progressive loss of the stress carrying capacity of the structure. The ductile fracture occurs when the stress carrying capacity of the structure vanishes. The sensitivity of damage volution under dynamic loading in the case of porous strain rate sensitive material is analysed using single tensile tests. The dynamic bending test of a cantilever beam with a U-cross-section is performed. The influence of the strain rate on the deformed shape and on the loss of the structure's stress carrying capacity is shown. © 1997 John Wiley & Sons, Ltd.
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  • 3
    Electronic Resource
    Electronic Resource
    Influence of Fibre Orientation on the Dynamic Behaviour of Rotating Laminated Composite Blades (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 815-824 
    Details
    ISSN: 1069-8299
    Keywords: rotating machinery ; blade ; composite material ; vibration ; damping ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element technique is used to investigate the free-vibration characteristics of rotating laminated composite blades. The structure is discretized using a multilayered degenerated-solid shell element. Because of the geometry and the loading, a geometrically non-linear analysis is required. The model is applied to an advanced propeller geometry (propfan). Both titanium and composite materials with different stacking sequences are considered and compared. Natural frequencies, mode shapes and structural damping are computed in all cases. The significant potential variation of these quantities emphasizes the interest of using tailoring techniques to control the behaviour of composite blades. Some possible limits of automatic tailoring techniques are highlighted. © 1997 John Wiley & Sons, Ltd.
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  • 4
    Electronic Resource
    Electronic Resource
    Interpolation-free space-time remeshing for the Burgers Equation (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 875-884 
    Details
    ISSN: 1069-8299
    Keywords: space-time ; characteristic ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper we present a mesh management strategy for use with discontinuous-Galerkin space-time finite element formulations of flow problems. We propose a refinement technique for simplex-type meshes which requires no interpolation between grids at slab interfaces. The strategy uses an a posteriori spatial error estimator to tag refinement or coarsening. Orientation of element edges along flow characteristics is accomplished by nodal displacement, and by a new diagonal-swapping technique to correct for the effects of misalignment due to h-refinement. The swapping procedure realigns the mesh to improve the effectiveness of the h-adaptive process. Results are presented for the Burgers Equation using large time steps on a problem which exhibits merging and steepening fronts. © 1997 John Wiley & Sons, Ltd.
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  • 5
    Electronic Resource
    Electronic Resource
    PARALLEL FINITE ELEMENT LAPLACE TRANSFORM METHOD FOR THE NON-EQUILIBRIUM GROUNDWATER TRANSPORT EQUATION (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 2653-2664 
    Details
    ISSN: 0029-5981
    Keywords: groundwater transport ; non-equilibrium sorption ; Laplace transformation ; finite element ; parallel algorithm ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Groundwater transport of contaminants undergoing rate-limited or non-equilibrium sorption onto the solid matrix is often described by the dual-porosity or two-domain model, whereby the rate-limited reaction occurs between a mobile and an immobile region. When the sorption reaction is represented by a first-order kinetic relationship, the equation takes the form of a convection-dispersion partial differential equation with an integral term describing the mass transfer between the two regions. An efficient solution algorithm for this type of problems consists in the transformation of the original equation into the Laplace space and subsequent numerical solution of the resulting steady-state equation in the complex space. The exploitation of the Laplace transform to solve the time dependency restricts the application of the technique to linear advection and dispersion terms, while non-linear reactions can be accommodated in particular cases only. This approach has the advantage that it is easily parallelizable, and is therefore proposed in this paper as an efficient algorithm for the parallelization in time of these types of integrodifferential equations.The parallel efficiency of PFELT has been tested on a Cray T3D parallel computer for three sample problems of size N=1071, 3721, and 15 275, respectively, where N is the number of nodal mesh points. The speed-ups obtained vary from 1·98, with two processors, to 39·93 with 64 processors, for the most favorable case. This corresponds to a percentage of parallel work greater than 98 per cent, and a parallel efficiency of more than 60 per cent in the best case, showing the good performance achievable with this algorithm. © 1997 John Wiley & Sons, Ltd.
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  • 6
    Electronic Resource
    Electronic Resource
    QUADRATIC TRIANGULAR C0 PLATE BENDING ELEMENT (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 937-951 
    Details
    ISSN: 0029-5981
    Keywords: finite element ; assumed strain formulation ; Mindlin/Reissner ; plate bending ; triangular ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, a six-node triangular C0 plate bending element is developed by the assumed strain formulation. The sampled transverse shear strains in the element are chosen such that the latter has a favourable constraint index of shear locking and the strains are optimized with respect to a linear pure bending displacement/rotation field. It happens that the optimal strains are the mean strains along the element edges and medians. Numerical examples reveal that the element is free from shear locking and passes all the patch tests for plate bending elements. Moreover, the element accuracy is close to that of a state-of-the-art seven-node assumed strain element. © 1997 by John Wiley & Sons, Ltd.
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  • 7
    Electronic Resource
    Electronic Resource
    A control volume finite element numerical solution of creep problems (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 3463-3475 
    Details
    ISSN: 0029-5981
    Keywords: control volume ; finite element ; creep ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents the novel application of a vertex-centred control volume numerical scheme commonly known as the control volume finite element method to creep problems. The discretization procedure is described in detail and is valid for both structured and unstructured grids without alteration to the formulation. This enables complex geometries to be modelled which overcomes one of the perceived drawbacks of the control volume solution techniques. The example chosen to illustrate the control volume finite element method concerns modelling the mechano-sorptive creep which occurs during the drying of timber. The numerical results are benchmarked against previously published numerical results and a finite element solution. © 1997 by John Wiley & Sons, Ltd.
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  • 8
    Electronic Resource
    Electronic Resource
    Application of the patch test to incompatible laminated finite elements (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 4239-4257 
    Details
    ISSN: 0029-5981
    Keywords: patch test ; laminate ; composite ; finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new patch test is proposed for laminated finite elements. Two single-element tests are presented which establish the necessary conditions for convergence of incompatible laminated elements. These conditions are applied to a family of incompatible laminated elements recently developed by the authors. A method for applying these conditions to establish a general isoparametric formulation is given. Numerical results from several multielement patch tests performed on these elements are discussed. Additional numerical examples that support the findings of these patch tests are also presented. © 1997 John Wiley & Sons, Ltd.
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  • 9
    Electronic Resource
    Electronic Resource
    Classification of stress modes in assumed stress fields of hybrid finite elements (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 4313-4339 
    Details
    ISSN: 0029-5981
    Keywords: finite element ; stress modes ; classification ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A classification method is presented to classify stress modes in assumed stress fields of hybrid finite element based on the eigenvalue examination and the concept of natural deformation modes. It is assumed that there only exist m (=n-r) natural deformation modes in a hybrid finite element which has n degrees of freedom and r rigid-body modes. For a hybrid element, stress modes in various assumed stress fields proposed by different researchers can be classified into m stress mode groups corresponding to m natural deformation modes and a zero-energy stress mode group corresponding to rigid-body modes by the m natural deformation modes. It is proved that if the flexibility matrix [H] is a diagonal matrix, the classification of stress modes is unique. Each stress mode group, except the zero-energy stress mode group, contains many stress modes that are interchangeable in an assumed stress field and do not cause any kinematic deformation modes in the element. A necessary and sufficient condition for avoiding kinematic deformation modes in a hybrid element is also presented. By means of the m classified stress mode groups and the necessary and sufficient condition, assumed stress fields with the minimum number of stress modes can be constructed and the resulting elements are free from kinematic deformation modes. Moreover, an assumed stress field can be constructed according to the problem to be solved. As examples, 2-D, 4-node plane element and 3-D, 8-node solid element are discussed. © 1997 John Wiley & Sons, Ltd.
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  • 10
    Electronic Resource
    Electronic Resource
    Three-dimensional absolute nodal co-ordinate formulation: plate problem (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 2775-2790 
    Details
    ISSN: 0029-5981
    Keywords: large rotation ; large deformation ; finite element ; plate element ; multibody dynamics ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this investigation, an absolute nodal co-ordinate dynamic formulation is developed for the large deformations and rotations of three-dimensional plate elements. In this formulation, no infinitesimal or finite rotations are used as nodal co-ordinates, instead global displacements and slopes are used as the plate coordinates. Using this interpretation of the plate coordinates the new method does not require the use of co-ordinate transformation to define the global inertia properties of the plates. The resulting mass matrix is the same constant matrix that appears in linear structural dynamics. The stiffness matrix, on the other hand, is a non-linear function of the nodal co-ordinates of the plate even in the case of a linear elastic problem. It is demonstrated in this paper that, unlike the incremental finite element formulations, the proposed method leads to an exact modelling of the rigid body inertia when the plate element moves as a rigid body. It is also demonstrated that by using the proposed method the conventional plate element shape function has a complete set of rigid body modes that can describe an exact arbitrary rigid body displacement. Using this fact, plate elements in the proposed new formulation can be considered as isoparametric elements. As a consequence, an arbitrary rigid body motion of the element results in zero strain. © 1997 John Wiley & Sons, Ltd.
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  • 11
    Electronic Resource
    Electronic Resource
    AN EXPLICIT HYBRID STABILIZED EIGHTEEN-NODE SOLID ELEMENT FOR THIN SHELL ANALYSIS (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 1839-1856 
    Details
    ISSN: 0029-5981
    Keywords: explicit ; hybrid ; stabilization ; plate/shell ; finite element ; eighteen node ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, the explicit hybrid stabilization method is employed to formulate stabilization vectors for the uniformly reduced integrated eighteen-node solid element. An assumed contravariant stress is devised based on the strain associated with the commutable mechanisms of a geometrically regular element. It will be seen that the stabilization vectors can be derived and programmed explicitly without resorting to numerical integration loops. Admissible matrix formulation is employed in evaluating the flexibility matrix which becomes diagonal and thus induces no inversion cost. The element accuracy is comparable with other state-of-the-art nine-node shell and eighteen-node solid elements. FORTRAN subroutines for constructing the stabilization vectors are presented. © 1997 by John Wiley & Sons, Ltd.
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  • 12
    Electronic Resource
    Electronic Resource
    Improved vector FEM solutions of Maxwell's equations using grid pre-conditioning (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 3815-3837 
    Details
    ISSN: 0029-5981
    Keywords: Maxwell's equations ; wave equation ; finite element ; vector finite element ; Whitney element ; grid relaxation ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The Time Domain Vector Finite Element Method is a promising new approach for solving Maxwell's equations on unstructured triangular grids. This method is sensitive to the quality, or condition, of the grid. In this study grid pre-conditioning techniques, such as edge swapping, Laplacian smoothing, and energy minimization, are shown to improve the accuracy of the solution and also reduce the overall computational effort. © 1997 John Wiley & Sons, Ltd.
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  • 13
    Electronic Resource
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    A HYBRID STRESS QUADRILATERAL SHELL ELEMENT WITH FULL ROTATIONAL D.O.F.S (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 1785-1800 
    Details
    ISSN: 0029-5981
    Keywords: finite element ; shell ; drilling rotation ; hybrid stress ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A 4-node hybrid stress quadrilateral shell element with 3 rotational d.o.f.s per node is presented. The mid-surface displacement of the element is founded on Allman's rotation. The equal-rotation mode intrinsic to the rotation is suppressed by a stabilization vector. The assumed stress field and the stabilization scalar is chosen such that membrane locking can be avoided. Computational efficiency of the element is improved by employing orthogonal stress modes and admissible matrix formulation. Popular benchmark tests are attempted and the results are found to be satisfactory. © 1997 by John Wiley & Sons, Ltd.
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  • 14
    Electronic Resource
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    AN UPPER BOUND FINITE ELEMENT PROCEDURE FOR SOLVING LARGE PLANE STRAIN DEFORMATION (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 1909-1922 
    Details
    ISSN: 0029-5981
    Keywords: upper bound ; finite element ; plane strain ; large deformation ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A unique and robust upper bound finite element procedure is developed for the analysis of large plastic deformation problems under plane strain condition. It can consistently treat problems with isotropic strain varying materials. It can also effectively solve problems with any initial ‘guessed’ velocity field, even from an random number generator. To explore and demonstrate the capability of this new approach, strip tension and plane strain compression problems are solved. For validation, the computed results are compared with existing analytical or experimental solutions in good agreement. The phenomenon of shear band formation can be simulated and, as expected, is found to develop more distinctly in strain softening materials than in perfectly plastic and strain hardening materials. © 1997 by John Wiley & Sons, Ltd.
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  • 15
    Electronic Resource
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    The inside-outside contact search algorithm for finite element analysis (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 3665-3685 
    Details
    ISSN: 0029-5981
    Keywords: contact ; finite element ; sheet metal forming ; penalty ; dynamic explicit ; inside-outside algorithm ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new contact search algorithm (Inside-Outside Algorithm) for the sheet forming simulation has been developed and implemented in the dynamic explicit FE code: ‘DYNAMIC’. The inside-outside algorithm is derived based on the feature of the inside-outside status of a nodal ‘mesh normal vector’ in respect to a surface segment for the judgment of the contact of FE nodes with the tool surface. This new algorithm includes local search, local track and penetration calculation processes. Almost no additional CPU time is required for the local search process, because the calculations for both global and local search are combined. Moreover, the problems of conventional contact searching algorithms, such as iterations for local search and the deadzone problem, are resolved. Therefore, the quick, robust contact searching and accurate evaluation of penetration have been achieved. The numerical results show that the new contact searching algorithm is more cost effective and robust than conventional ones. © 1997 John Wiley & Sons, Ltd.
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  • 16
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    CLASSICAL SOLUTION SHAPE FUNCTIONS IN THE FINITE ELEMENT ANALYSIS OF CIRCULAR AND ANNULAR PLATES (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 969-990 
    Details
    ISSN: 0029-5981
    Keywords: circular ; annular ; plate ; finite element ; vibration ; classical solution ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The objective of this work is to present a new method for the dynamic and static analysis of thin, elastic, isotropic, non-uniform circular and annular plates. The method is a combination of plate theory and finite element analysis. The plate is divided into one circular and many annular finite elements. The displacement functions are derived from Sanders' classical plate theory. These displacement functions satisfy the convergence criteria of the finite element method. The matrices for mass and stiffness are determined by precise analytical integration. A computer programme has been developed, the convergence criteria have been established, and the natural frequencies and vibration modes have been computed for different cases. The results obtained reveal that the frequencies calculated by this method are in good agreement with those obtained by other authors. © 1997 by John Wiley & Sons, Ltd.
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