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  • Biochemistry and Biotechnology  (13,095)
  • Engineering  (12,632)
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  • 1
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The finite element implementation of a lamina-based elastic constitutive relation appropriate for describing the three-dimensional (3-D) behaviour of fibre composite laminated media is presented. Unconstrained by the two-dimensional restrictions accompanying plate and shell theories, this approach resolves the macro 3-D deformation fields found in 'thick' laminated or filament wound composites without requiring each lamina to be individually discretized to assign material properties. In rectangular isoparametric solid elements where laminae locally parallel an element 'face', the implementation represents 'exactly' the elastic laminate behaviour by replacing the discrete lamina stiffnesses with continuous polynomial moduli functions. Attributable directly to the lamina constitutive relationship used, appropriate for fibre-dominated material systems, the implementation automatically preserves interlaminar continuity of tractions and displacements within each element for laminates assembled from a single lamina type. The order of the effective moduli functions is determined by the element kinematics and by requiring identical net mid-surface elemental forces and moments. In general, this representation substantially reduces the number of stored variables and through-thickness integrations required, and allows 'exact' integration by higher-order Gaussian quadrature. Additionally a single element may span any portion or number of laminae, thus allowing nearly arbitrary meshing and solution resolution. Several numerical examples using 3-D 8-node isoparametric solid elements demonstrate the approach's convergence and overall behaviour.
    Additional Material: 6 Ill.
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 23 (1986), S. 1101-1109 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An incomplete factorization iterative scheme with ORTHOMIN acceleration is evaluated for three-dimensional finite element applications. Both heat conduction and combined heat and fluid flow are investigated. Computational efficiency is investigated for both linear (8 node) and quadratic (27 node) elements as well as for various degrees of LU Decomposition. The factorization schemes worked well with both types of elements, and a variable factorization scheme, which distributes the level of factorization, performed well on difficult heat and fluid flow problems.
    Additional Material: 5 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 75-86 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Two finite element algorithms suitable for long term simulation of geothermal reservoirs are presented. Both methods use a diagonal mass matrix and a Newton iteration scheme. The first scheme solves the 2N unsymmetric algebraic equations resulting from the finite element discretization of the equations governing the flow of heat and mass in porous media by using a banded equation solver. The second method, suitable for problems in which the transmissibility terms are small compared to the accumulation terms, reduces the set of N equations for the Newton corrections to a symmetric system. Comparison with finite difference schemes indicates that the proposed algorithms are competitive with existing methods.
    Additional Material: 7 Ill.
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 355-366 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Two finite difference algorithms suitable for long-time simulation of the exploitation of a two-phase geothermal reservoir are presented. One is based on the hopscotch method proposed by Saul'yev1 and analysed further by Gordon2 and Gourlay.3 The other is based on the well-known ADI method. Both methods use a Newton-Raphson iterative technique in order to obtain accurate solutions of the non-linear difference equations involved. Rapid convergence of the iterative schemes occurs both for single-phase and two-phase reservoir problems. One- and two-dimensional model problems are presented.
    Additional Material: 2 Ill.
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 87-93 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Additional Material: 5 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 3065-3082 
    ISSN: 0029-5981
    Keywords: biomechanics ; damage ; finite element method ; plasticity ; standard generalized material ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Motivated by mechanical analysis of cancellous bone, a 3D constitutive law describing the simultaneous flow of rate-independent plasticity and damage is developed in the framework of thermodynamics of irreversible processes with internal variables. Following the hypothesis of standard generalized materials, a free energy and a dissipation potential are postulated and the associated flow rules derived with the tools of convex analysis. On the computational side, the classical implicit projection (or catching up) algorithm used in plasticity is extended to account for the additional flow of damage. Due to the existence of a dissipation potential, linearization of the incremental algorithm provides a symmetric tangent operator. Numerical resolutions of several boundary value problems and a biomechanical application are presented to illustrate the potential of the constitutive model and demonstrate the quadratic convergence of the algorithm.
    Additional Material: 10 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Biotechnology and Bioengineering 38 (1991), S. 459-470 
    ISSN: 0006-3592
    Keywords: cell culture ; contact inhibition phenomena ; discrete mathematical model ; cell proliferation ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: We report the development of new class of discrete models that can accurately describe the contact-inhibited proliferation of anchorage-dependent cells. The models are based on cellular automata, and they quantitatively account for contact inhibition phenomena occurring during all stages of the proliferation process: (a) the initial stage of “exponential” growth of cells without contact inhibition; (b) the second stage where cell colonies form and grow with few colony mergings; and (c) the final stage where proliferation rates are dominated by colony merging events. Model prediction are presented and analyzed to study the complicated dynamics of large cell populations and determine how the initial spatial cell distribution, the seeding density, and the geometry of the growth surface affect the observed proliferation rates. Finally, we present a model variant that can simulate contact-inhibited proliferation of asynchronous cell populations with arbitrary cell cycle-time distribution. The latter model can also compute the percentage of cells that are in a specific phase of their division cycle at a given time.
    Additional Material: 17 Ill.
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  • 8
    ISSN: 0006-3592
    Keywords: endothelial cells ; cell culture contact inhibition ; mathematical model ; experimental data ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This study establishes that the cellular automata models developed in an earlier article capture the essential features of the proliferation process for anchorage-dependent contact-inhibited cells. Model predictions are in excellent agreement with experimental data obtained with bovine pulmonary artery endothelial cells. The models are particularly suitable for predictive purposes since they have no adjustable parameters. All model parameters can be easily obtained from a priori measurements. Our studies also show that proliferation rates are very sensitive to the spatial distributions of seed cells. The adverse effects of seeding heterogeneities become more pronounced as a cell population approaches confluency and they should be accounted for in experimental studies attempting to assess the response of cells to external stimuli.
    Additional Material: 10 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 43 (1998), S. 733-753 
    ISSN: 0029-5981
    Keywords: extrapolation ; series ; sequences ; binomial power series ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The problem of extrapolation based just on a few initial terms of a sequence or series is discussed. Possible regularity of the extrapolation formula is postulated. Binomial power series is regarded as sufficiently regular and several extrapolation formulae using 3, 4, or 5 initial terms and based on binomial power series are derived. They are called the ‘bs-extrapolation formulae’ and compared to other extrapolation algorithms. Good accuracy in many particular cases is stated. Three examples of applications in mechanics are quoted: they consider consecutive FEM-solutions, postbuckling behaviour of an Euler column and optimal plastic design of a plane T-head. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 2 Ill.
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  • 10
    ISSN: 0006-3592
    Keywords: Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: As a prelude to our studies on TL and Thy-1 differentiation alloantigens, three murine lymphobhastoid cell lines were examined for expression of these components. Optimal conditions for their mass culture were also determined. Several suspension culture systems were evaluated: (a) 50 ml through 500 ml Wheaton and Bellco spinner flasks as well as 1, 4, and 8 liter Wheaton flasks modified for semicontinuous culture conditions, (b) 3 liter Chemapec Vibrofermentor, and (c) 14 liter New Brunswick fermentor. Utilizing these types of vessels the optimal culture conditions were evaluated as to the effect of: (1) pH, (2) initial concentration of cell inoculum, (3) types of media, and (4) methods of gassing and gas mixtures on the rate of growth and alloantigen expression. This study demonstrated that cells could be cultured on a semicontinuous basis up to densities of 2-4 × 106 cells/ml if a vessel of appropriate dimensions was utilized, the appropriate medium selected, and the pH controlled by CO2 and air overlay. Once these parameters were established the growth of a given cell line was highly reproducible: Under optimal culture conditions the expression of Thy-1 was maximum while the cells were in the exponential stage of growth and reduced during the lag and stationary phases of growth. The expression of TL did not vary as significantly during the various stages of growth. One cell line grown in medium supplemented with 10% horse serum expressed lass Thy-1 than those grown in medium containing 10% fetal calf serum. The factors affecting cell growth and alloantigen expression have been considered in the design of a large-scale suspension culture facility for culturing 1000 liters of cells per week.
    Additional Material: 14 Ill.
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