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  • Articles  (13)
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  • finite element method  (13)
  • Springer  (13)
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  • Mathematics  (6)
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  • Articles  (13)
  • Other Sources
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  • Springer  (13)
  • American Geophysical Union
  • American Institute of Physics (AIP)
  • American Physical Society
  • Annual Reviews
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  • 2000-2004
  • 1995-1999  (13)
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  • 1
    Electronic Resource
    Electronic Resource
    On a certain two-sided symmetric condition in magnetic field analysis and computations (1997)
    Springer
    Applications of mathematics 42 (1997), S. 147-159 
    Details
    ISSN: 1572-9109
    Keywords: magnetic field ; variational formulation ; two-sided existence and uniqueness condition ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity models used in electrotechnical practice.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022295111737
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  • 2
    Electronic Resource
    Electronic Resource
    Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method (1997)
    Springer
    Applications of mathematics 42 (1997), S. 259-277 
    Details
    ISSN: 1572-9109
    Keywords: Parameter identification ; parabolic problem ; finite element method ; Crank-Nicolson scheme
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The identification problem of a functional coefficient in a parabolic equation is considered. For this purpose an output least squares method is introduced, and estimates of the rate of convergence for the Crank-Nicolson time discretization scheme are proved, the equation being approximated with the finite element Galerkin method with respect to space variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023012328209
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  • 3
    Electronic Resource
    Electronic Resource
    Dynamic analysis of arrest of buckle propagation on a beam on a nonlinear elastic foundation by FEM (1997)
    Springer
    Acta mechanica solida Sinica 10 (1997), S. 28-35 
    Details
    ISSN: 0894-9166
    Keywords: buckle propagation ; arrest of buckle ; beam on a nonlinear foundation ; 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 dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration technique. A new conclusion completely different from that by the quasistatic analysis about the buckle arrestor design is drawn. This shows that the inertia of the beam cannot be ignored in the analysis under consideration, especially when the buckle propagation is suddenly stopped by the arrestors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207607
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  • 4
    Electronic Resource
    Electronic Resource
    Effect of temperature on the fracture modes of BHW-35 steel under mode-II loading (1997)
    Springer
    Acta mechanica solida Sinica 10 (1997), S. 76-85 
    Details
    ISSN: 0894-9166
    Keywords: finite element method ; mode- II loading ; J integral
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Finite element method (FEM) has been used to analyze the stress and strain fields and the stress tri-axial levels around the tip of the crack under mode- II loading. The results show that: under mode- II loading, the direction of the maximum tensile stress and that of the maximum tri-axial levels (R o ) exist at an angle of −75. 3° from the original crack plane; the maximum shear stress andR o = 0 exist along the original crack plane. Mode- II loading experiment using BHW-35 steel at different temperatures show that there are two kinds of fracture mode, opening mode (or tensile mode) and sliding mode (or shear mode). A decrease in temperature causes the fracture mode to change from shear mode to tensile mode. For BHW-35 steel, this critical temperature is about −90 C. Actually, under any kind of loading mode (mode I . mode II , mode III or mixed mode), there always exist several kinds of potenital fracture modes (for example, opening mode, sliding mode, tearing mode or mixed mode). The effect of temperature under mode- II loading is actually related to the change of the elastic-plastic properties of the material.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207612
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  • 5
    Electronic Resource
    Electronic Resource
    Measurement of Stress Intensity Factors of a Mixed-Mode Interface Crack by a Speckle Photography (1997)
    Springer
    Optical review 4 (1997), S. 253-260 
    Details
    ISSN: 1349-9432
    Keywords: speckle photography ; Young’s fringe ; two-dimensional Fourier transform ; finite element method ; stress intensity factor ; interface crack ; mixed mode ; displacement extrapolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The image-processing system based on a two-dimensional Fourier transform is presented for the analysis of Young’s fringes pattern created from a double-exposure speckle photograph. The fringe spacing and orientation are determined using only one Young’s fringes pattern without any other diffraction halo patterns. The stress-intensity factors of a mixed-mode interface crack were measured by speckle photography. A compact normal and shear specimen with an interface crack was employed. This specimen enables us to carry out the experiment under various kinds of mixed-mode loading. A steel and an epoxy resin were used as dissimilar materials. The displacement along the crack lines at the free surface was measured by speckle photography. The K1 and K11 values were determined by a least squares method using displacement data along the crack lines. Three-dimensional finite element analysis was carried out on the same specimen. An accuracy of stress intensity factors obtained by the speckle photography was discussed by comparison of results obtained by the finite element analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s10043-997-0253-4
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  • 6
    Electronic Resource
    Electronic Resource
    Dynamic behavior of piles embedded in transversely isotropic layered media (1997)
    Springer
    Acta mechanica Sinica 13 (1997), S. 241-252 
    Details
    ISSN: 1614-3116
    Keywords: pile-soil system ; soil anisotropy ; transversely isotropic layered media ; dynamic behavior ; 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 Dynamic behavior of single pile embedded in transversely isotropic layered media is investigated using the finite element method combined with dynamic stiffness matrices of the soil derived from Green's function for ring loads. The influence of soil anisotropy on the dynamic behavior of piles is examined through a series of parametric studies
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487706
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  • 7
    Electronic Resource
    Electronic Resource
    Deformation localization and shear band fracture in strong anisotropy sheet tension (1997)
    Springer
    Acta mechanica Sinica 13 (1997), S. 143-152 
    Details
    ISSN: 1614-3116
    Keywords: deformation localization and shear band fracture ; planar anisotropy ; sheet metal tension ; 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 The tensile deformation localization and the shear band fracture behaviors of sheet metals with strong anisotropy are numerically simulated by using Updating Lagrange finite element method, Quasi-flow plastic constitutive theory[1] and B-L planar anisotropy yield criterion[2]. Simulated results are compared with experimental ones. Very good consistence is obtained between numerical and experimental results. The relationship between the anisotropy coefficientR and the shear band angle θ is found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487920
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  • 8
    Electronic Resource
    Electronic Resource
    Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations (1997)
    Springer
    Numerical algorithms 14 (1997), S. 211-225 
    Details
    ISSN: 1572-9265
    Keywords: bifurcation function ; elliptic boundary value problem ; finite element method ; reduction to an alternative problem ; stability of steady-states ; 35J25 ; 65N35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Solutions $$u \in H_0^1 (\Omega ) \cap H^2 (\Omega )$$ of a semilinear elliptic boundary value problem, $$Au + f(x,u,\lambda ) = 0$$ (with $$f_u (x,u,\lambda )$$ bounded below) can be put into a one-to-one correspondence with zeros $$c \in \mathbb{R}^d $$ of a function $$c \to B(c,\lambda ) \in \mathbb{R}^d $$ . Often d is small. The function $$B(c,\lambda )$$ is called the bifurcation function. It can also be shown that the eigenvalues of the matrix $$B_c (c,\lambda )$$ characterize the stability properties of the solutions of the elliptic problem as rest points of $$u_t + Au + f(x,u,\lambda ) = 0$$ . A finite element method that can be used for computing B and B c has recently been proposed. An overview of these results and the finite element method is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019117130906
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  • 9
    Electronic Resource
    Electronic Resource
    The optimal control variational principle and finite elements analysis for viscoplastic dynamics (1997)
    Springer
    Applied mathematics and mechanics 18 (1997), S. 61-68 
    Details
    ISSN: 1573-2754
    Keywords: viscoplastic dynamics ; optimal control ; variational principle ; finite element method
    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 This paper presents the optimal control variational principle for Perzyna model which is one of the main constitutive relation of viscoplasticity in dynamics. And it could also be transformed to solve the parametric quadratic programming problem. The FEM form of this problem and its implementation have also been discussed in the paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02457502
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  • 10
    Electronic Resource
    Electronic Resource
    A modified Hellinger-Reissner variational functional including only two independent variables for large displacement of thin shallow shell (1997)
    Springer
    Applied mathematics and mechanics 18 (1997), S. 663-670 
    Details
    ISSN: 1573-2754
    Keywords: variational principle ; shallow shell ; large displacement ; finite element method
    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 variational functional of the Hellinger-Reissner variational principle for the large displacement problem of a thin shallow shell with an arbitrary shape is first established. Then the functional of the modified principle suitable for the finite element method is derived. In the functional only two independent variables, the deflection ω and the stress function F are included. The displacement expressions in the middle surface on the boundary of the shell is also derived by means of the previous two variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00127014
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  • 11
    Electronic Resource
    Electronic Resource
    Interweaving Kohonen Maps of Different Dimensions to Handle Measure Zero Constraints on Topological Mappings (1997)
    Springer
    Neural processing letters 5 (1997), S. 83-89 
    Details
    ISSN: 1573-773X
    Keywords: finite element method ; Kohonen ; neural networks ; self-organizing ; topological mapping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The usual “Kohonen” algorithm uses samples of points in a domain to develop a topological correspondence between a grid of “neurons” and a continuous domain. “Topological” means that near points are mapped to near points. However, for many applications there are additional constraints, which are given by sets of measure zero, which are not preserved by this method, because of insufficient sampling. In particular, boundary points do not typically map to boundary points because in general the likelihood of a sample point from a two-dimensional domain falling on the boundary is typically zero for continuous data, and extremely small for numerical data. A specific application, (assigning meshes for the finite element method), was recently solved by interweaving a two-dimensional Kohonen mapping on the entire grid with a one-dimensional Kohonen mapping on the boundary. While the precise method of interweaving was heuristic, the underlying rationale seems widely applicable. This general method is problem independent and suggests a direct generalization to higher dimensions as well.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009670110038
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  • 12
    Electronic Resource
    Electronic Resource
    The Influence of Laterally Inhomogeneous Contacts on the Impedance of Solid Materials: A Three-Dimensional Finite-Element Study (1997)
    Springer
    Journal of electroceramics 1 (1997), S. 73-89 
    Details
    ISSN: 1573-8663
    Keywords: impedance ; porous electrode ; inhomogeneous contact ; finite element method ; potential distribution ; current constriction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The total impedance of samples with electrodes exhibiting only partial contact (porous electrodes) is investigated using the finite element method in three dimensions. Emphasis is put on porous electrodes built up of arrays of small perfect contacts. An equivalent circuit to analyze the impedance spectra is put on a firm basis enabling the reliable determination of bulk properties of “imperfectly” contacted samples. Approximations are given to estimate the contact geometry impedance. The results are also applicable to other imperfect contact problems as occurring at grain boundaries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009902532596
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  • 13
    Electronic Resource
    Electronic Resource
    Finite Element Approximation of Vector-Valued Hemivariational Problems (1997)
    Springer
    Journal of global optimization 10 (1997), S. 17-35 
    Details
    ISSN: 1573-2916
    Keywords: vector-valued hemivariational inequality ; finite element method ; nonconvex energy function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we develop a finite element approximationfor vector-valuedhemivariational inequalities.This class of hemivariational problems wasintroducedin [12],[13]. We study two differentproblems: unconstrained oneand constrained one witha nonempty, closed, convex constraint set K. We shall show firstly that the discrete problemsare solvable by usingconsequences of Kakutanifixed point theorem and secondly that the solutionsof the discrete problemsare close on subsequences to the continuous ones.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008234502169
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