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  • Articles  (13)
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  • finite element method  (13)
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  • 2000  (13)
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  • Articles  (13)
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  • Springer  (13)
  • American Geophysical Union
  • American Institute of Physics
  • American Institute of Physics (AIP)
  • American Physical Society
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  • 2000-2004  (13)
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  • 1
    Electronic Resource
    Electronic Resource
    Efficient β-formulation for the FEM analysis of leaky modes in general anisotropic channel waveguides (2000)
    Springer
    Optical and quantum electronics 32 (2000), S. 719-734 
    Details
    ISSN: 1572-817X
    Keywords: anisotropic waveguides ; finite element method ; integrated optics ; open boundary conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract An efficient method to model guided and leaky modes of anisotropic dielectric waveguides with arbitratry dielectric tensor ε¯¯ is presented. This method takes advantage of a particular β-formulation approach of the finite element method (FEM), leading to an optimized use of the computational resources.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007054109533
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  • 2
    Electronic Resource
    Electronic Resource
    Topographic Distribution of Photon Measurement Density Functions on the Brain Surface by Hybrid Radiosity-Diffusion Method (2000)
    Springer
    Optical review 7 (2000), S. 426-431 
    Details
    ISSN: 1349-9432
    Keywords: near infrared spectroscopy ; diffusion equation ; finite element method ; hybrid radiosity diffusion model ; topographic imaging ; photon measurement density function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An accurate modelling of light propagation in the head is required to develop an algorithm to reconstruct the image of brain activity. Most previous studies have calculated the light propagation in two dimensional models because of their advantage in computation time and memory requirement over three dimensional models. However, in topographic imaging, the sensitivity distribution in the cross sections parallel to the brain surface which cannot be obtained from a two dimensional model is most important to reconstruct the image. In this study, the light propagation in three dimensional adult head models is calculated by finite element method and hybrid radiosity-diffusion method. The light propagation in the adult head is strongly affected by the non-scattering cerebrospinal fluid (CSF) layer surrounding the brain. The sensitive area is shifted toward the deeper region, and is spread around the CSF layer. The intensely sensitive region on the brain surface is broadly distributed between the source and detector. However, the sensitive region does not penetrate into the deeper part of the brain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s10043-000-0426-x
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  • 3
    Electronic Resource
    Electronic Resource
    Conductance and Statistical Properties of Chaotic and Integrable Electron Waveguides (2000)
    Springer
    Journal of statistical physics 98 (2000), S. 813-834 
    Details
    ISSN: 1572-9613
    Keywords: conductance ; electron waveguide ; electron scattering ; random matrix theory ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the S-matrix for electrons propagating in a waveguide has different statistical properties depending on whether the waveguide cavity shape gives rise to chaotic or integrable behavior classically. We obtain distributions of energy level spacings for integrable and chaotic billiards shaped like the waveguide cavity. We also obtain distributions for Wigner delay times and resonance widths for the waveguide, for integrable and chaotic cavity geometries. Our results, obtained by direct numerical calculation of the electron wave function, are consistent with the predictions of random matrix theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018683710779
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  • 4
    Electronic Resource
    Electronic Resource
    Finite element analysis on evolution process for damage microcrack healing (2000)
    Springer
    Acta mechanica Sinica 16 (2000), S. 254-263 
    Details
    ISSN: 1614-3116
    Keywords: microcrack ; damage healing ; microcrack splitting and spheroidization ; surface diffusion ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Based on the thermal kinetic and mass conservation, a series of controlling equations for the finite element are derived and related programs are developed to simulate the damage microcrack healing process controlled by surface diffusion. Two kinds of typical models for microcrack splitting are proposed, i.e., the grain boundary energy existing on the crack surface and residual stresses applying on the crack surface. And the conditions of microcrack splitting in the two models are given as a function of the microcrack aspect ratio. The microcrack with traction-free surfaces will directly evolve into a spheroid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487666
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  • 5
    Electronic Resource
    Electronic Resource
    A contact searching algorithm for contact-impact problems (2000)
    Springer
    Acta mechanica Sinica 16 (2000), S. 374-382 
    Details
    ISSN: 1614-3116
    Keywords: contact impact ; contact search ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract A new contact searching algorithm for contact-impact systems is proposed in this paper. In terms of the cell structure and the linked-list, this algorithm solves the problem of sorting and searching contacts in three dimensions by transforming it to a retrieving process from two one-dimensional arrays, and binary searching is no longer required. Using this algorithm, the cost of contact searching is reduced to the order ofO(N) instead ofO(Nlog2 N) for traditional ones, whereN is the node number in the system. Moreover, this algorithm can handle contact systems with arbitrary mesh layouts. Due to the simplicity of this algorithm it can be easily implemented in a dynamic explicit finite element program. Our numerical experimental result shows that this algorithm is reliable and efficient for contact searching of three dimensional systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487690
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  • 6
    Electronic Resource
    Electronic Resource
    Finite Element Analysis of the Dominant Mode Variation in Groove Guide (2000)
    Springer
    International journal of infrared and millimeter waves 21 (2000), S. 63-76 
    Details
    ISSN: 1572-9559
    Keywords: groove guide ; dominant mode ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, the dominant mode in groove guide is analyzed by finite element method. For the guide with a shallow groove, the electric field lines (abbreviated as E lines) are perpendicular to the parallel plate, which is different from the literatures, and the dominant mode distribution is irrelevant to the groove width; for the guide with a narrow but deeper groove, the E lines are parallel to the plate region, which represents the characteristics of lower attenuation, for the guide with a deeper and wider groove, a complicated E lines are obtained. These results reveal that the dominant mode distribution in groove guide is varied, which replenish our understanding of groove guide, and the results have important values in design, manufacture, and application of groove guide.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006642904457
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  • 7
    Electronic Resource
    Electronic Resource
    On the Electric Field Lines of the Dominant Mode in Millimetric V-Groove Guide by Finite Element Method (2000)
    Springer
    International journal of infrared and millimeter waves 21 (2000), S. 965-977 
    Details
    ISSN: 1572-9559
    Keywords: V-groove guide ; dominant mode ; electrical lines ; finite element method ; millimeter waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, the electric field lines of the dominant mode in a closed V-groove guide as well as an open one are analysed by finite element method. The results show that the electric field lines are not parallel to the parallel plate region, but perpendicular to them. Since the attenuation increase with increasing frequency when the electric field lines are perpendicular to the mental walls, the V-groove is not suitable to be used in millimeter and submillimeter wavebands, and it is can't be regarded as low-loss wave guiding structures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026405903589
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  • 8
    Electronic Resource
    Electronic Resource
    Finite Element Analysis of the Field Patterns in Elliptical Waveguide (2000)
    Springer
    International journal of infrared and millimeter waves 21 (2000), S. 1341-1354 
    Details
    ISSN: 1572-9559
    Keywords: elliptical waveguide ; the lowest TM mode ; field patterns ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, finite element method is first used to discuss the field patterns in a hollow perfectly conducting pipe with elliptical cross section. The electrical field lines of the dominant TE mode as well as the magnetic field lines of the lowest TM mode are presented. The results are the same with literatures, and also give a correction to the field pattern of the lowest TM mode in elliptical waveguide.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026412519714
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  • 9
    Electronic Resource
    Electronic Resource
    Comprehensive mathematical model of microcirculatory dynamics (II)—Calculation and the results (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 579-584 
    Details
    ISSN: 1573-2754
    Keywords: influence line method ; analytical method ; finite element method ; microcirculatory dynamics ; O368 ; O242.1
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The mathematical model described in Part I was solved using “influence line method” combining analytical method and finite element method. Many important aspects of microcirculatory dynamics were analyzed and discussed. It show that interstitial fluid pressure changes its sign twice within one arteriolar vasomotion period and it is therefore not important that interstitial fluid pressure is a little higher or lower than atmospheric pressure; arteriolar vasomotion can periodically result in lymph formation and interstitial total pressure plays an important role in this procedure; local regulation of microcirculation can meet metabolic need some extent in the form of dynamic equilibrium. The property of arteriole as a “resistant vessel” and the efficiency of microvascular network as heat exchanger are also shown. These results show that the comprehensive mathematical model developed in Part I is physiologically resonable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459040
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  • 10
    Electronic Resource
    Electronic Resource
    A new method for stress analysis of a cyclically symmetric structure (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 87-94 
    Details
    ISSN: 1573-2754
    Keywords: cyclically symmetric structure ; finite element method ; stress analysis ; O175.14
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, a computational method for finite element stress analysis of a cyclically symmetric structure subjected to arbitrary loads is provided. At first, using discrete Fourier transformation technique, the complete structure is analyzed by considering only one sector with appropriate complex constraints on its boundary with the adjacent sectors. Next, an imaginary structure which is composed of two identically overlapping sectors is constructed, and that the complex constraints mentioned above can be equivalently replaced by a set of real constraints on this imaginary struture is proved. Therefore, the stress analysis of a cyclically symmetric structure can be solved conveniently by most of finite element programs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458544
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  • 11
    Electronic Resource
    Electronic Resource
    Penalty finite element method for nonlinear dynamic response of viscous fluid-saturated biphase porous media (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1381-1389 
    Details
    ISSN: 1573-2754
    Keywords: porous media ; viscous fluid ; dynamic response ; finite element method ; O347
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The governing equations as well as boundary and initial conditions for nonlinear dynamic response problems of viscous fluid-saturated biphase porous medium model, based on mixture theory, are presented. With Galerkin weighted residual method the corresponding nonlinear dynamic penalty finite element equation, in which the dependencies of volume fraction and permeation coefficients on deformation are included, is obtained. The iteration solution method of the nonlinear system equation is also discussed. As a numerical example, the dynamic response of a porous medium column under impulsive loading action is analyzed with the developed finite element program. The numerical results demonstrate the efficiency and correctness of the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459216
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  • 12
    Electronic Resource
    Electronic Resource
    F E M analysis of delamination buckling in composite plates and shells (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 341-346 
    Details
    ISSN: 1573-2754
    Keywords: buckling ; composites ; delamination ; finite element method ; shells ; TB332 ; O242.21 ; O346.5 ; TG335.81
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The purpose of the present study is to develop a new finite element method for analyzing buckling of delaminated composite plates and shells. This is achieved by establishing a new finite element called the reference-surface element. By use of the compatibility condition under Mindlin assumptions, the formulation of the reference-surface element was derived from whichever plate-element or shell-element being capable of analyzing composite plates and shells. This method assures a reasonable description of displacement field and the satisfaction of compatibility conditions for delamination problem. Numerical results for linear delamination buckling of axially compressed shells are presented to validate the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459013
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  • 13
    Electronic Resource
    Electronic Resource
    The finite element method based on interpolating with wavelet basis function (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 13-18 
    Details
    ISSN: 1573-2754
    Keywords: wavelet analysis ; finite element method ; nonconforming analysis ; CLC number ; O242.21
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The compactly supported wavelet basis functions are introduced into the construction of interpolating function of traditional finite element method when analyzing the problems with high gradient, and the traditional, interpolating method is modified. The numerical stability of the new interpolating pattern is discussed and the convergence of the new method is also discussed by patch test analysis. The additional freedom of the new interpolating pattern is eliminated by static condensation method. Finally, the wavelet finite element formulations based on variational principles are put forward.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458534
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