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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic integration of elasto-plastic constitutive relation for isotropic hardening material and its computational precision (1988)
    Springer
    Acta mechanica solida Sinica 1 (1988), S. 419-430 
    Details
    ISSN: 0894-9166
    Keywords: asymptotic integration ; isotropic hardening material ; iteration ; constitutive relation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract In this paper, an asymptotic expansion solution of the constitutive equation of hardening materials is presented. Its 1st asymptotic integration can give an approximate one with good enough accuracy and the second asymptotic one improves the precision of solutions further. The steps of its algorithms are fairly simple and clear, and its computational workload is considerably reduced. It can be easily incorporated into a general purpose finite element program.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207621
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  • 2
    Electronic Resource
    Electronic Resource
    A modal analysis for the dynamic response of fluid-structure systems (1990)
    Springer
    Acta mechanica solida Sinica 3 (1990), S. 71-79 
    Details
    ISSN: 0894-9166
    Keywords: modal analysis ; fluid-structure interaction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract In this paper a theory of modal analysis for the dynamic response of fluid-structure systems is presented. A pair of generalized eigenvalue equations with three real symmetric matrices and their relationships are derived from the finite element equations in the form of structural displacements and fluid velocity potential. Generalized orthogonality relations of modal vectors are then developed. The response of the system to external excitation is derived in closed form by modal expansion. Two examples of the solution are given for illustration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02205625
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  • 3
    Electronic Resource
    Electronic Resource
    A constitutive model and elastoplastic analysis of structures under cyclic loading (1991)
    Springer
    Acta mechanica solida Sinica 4 (1991), S. 65-74 
    Details
    ISSN: 0894-9166
    Keywords: constitutive model ; elastoplastic analysis ; cyclic loading
    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 constitutive model for cyclic plasticity is briefly outlined. Then the model is implemented in a finite element code to predict the response of cyclic loaded structural components such as a double-edge-notched plate, a grove bar and a nozzle in spherical shell. Comparision with results from other theories and experiments shows that the results obtained by using the present model are very satisfactory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02208111
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  • 4
    Electronic Resource
    Electronic Resource
    A Poincaré type inequality for Hessian integrals (1998)
    Springer
    Calculus of variations and partial differential equations 6 (1998), S. 315-328 
    Details
    ISSN: 1432-0835
    Keywords: Mathematics Subject Classification (1991):52A40; 58G11
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. In this paper we show that Hessian integrals $I_k$ , $k=0, 1, \cdots, n$ , can be estimated by those of higher order. The result extends a variant of the Poincaré inequality corresponding to the cases $k=0, 1$ . The proof depends on solving a related non-linear parabolic initial boundary value problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s005260050093
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  • 5
    Electronic Resource
    Electronic Resource
    The Bernstein problem for affine maximal hypersurfaces (2000)
    Springer
    Inventiones mathematicae 140 (2000), S. 399-422 
    Details
    ISSN: 1432-1297
    Keywords: Mathematics Subject Classification (1991): 53A15, 53A10, 53C45, 35J60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. In this paper, we prove the validity of the Chern conjecture in affine geometry [18], namely that an affine maximal graph of a smooth, locally uniformly convex function on two dimensional Euclidean space, R 2, must be a paraboloid. More generally, we shall consider the n-dimensional case, R n , showing that the corresponding result holds in higher dimensions provided that a uniform, “strict convexity” condition holds. We also extend the notion of “affine maximal” to non-smooth convex graphs and produce a counterexample showing that the Bernstein result does not hold in this generality for dimension n≥10.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002220000059
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  • 6
    Electronic Resource
    Electronic Resource
    A Neural Network Approach for Analyzing Small Business Lending Decisions (2000)
    Springer
    Review of quantitative finance and accounting 15 (2000), S. 259-276 
    Details
    ISSN: 1573-7179
    Keywords: discriminant function ; sigmoid function ; neurons ; credit risk
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Abstract In this paper, we apply the neural network method to small business lending decisions. We use the neural network to classify the loan applications into the groups of acceptance or rejection, and compare the model results with the actual decisions made by loan officers. Data were collected from a leading bank in Central New York. The sample contains important financial statement and business information of borrowers and the loan officers' decisions. We conduct the network training on the data sample and find that the neural network has a stronger discriminating power for classifying the acceptance and rejection groups than traditional parametric and nonparametric classifiers. The results show that the neural network model has a high predictive ability. Our findings suggest that neural networks can be a very useful tool for enhancing small-business lending decisions and reducing loan processing time and costs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008324023422
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  • 7
    Electronic Resource
    Electronic Resource
    Interior gradient estimates for mean curvature equations (1998)
    Springer
    Mathematische Zeitschrift 228 (1998), S. 73-81 
    Details
    ISSN: 0025-5874
    Keywords: Mathematics Subject Classification (1991):35B45
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00004604
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  • 8
    Electronic Resource
    Electronic Resource
    Effective interaction of electrons in quantum wells (1994)
    Springer
    The European physical journal 93 (1994), S. 213-218 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Effects of electron-phonon interaction on the interaction between electrons in semiconductor quantum wells are considered. It is found that the direct Coulomb potential between electrons in a quantum well is smaller than that in bulk semicondutors. The antisymmetric modes of the confined bulk phonons and interface phonons have no contribution to the effective interaction of electrons. If a well is narrow enough, the effective interaction between electrons caused by interaction with interface phonons may exceed that by interaction with confined bulk phonons. In narrower wells the effective interaction potential of electrons produced by phonons is stronger, but decreases rapidly with increasing distance between electrons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01316965
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  • 9
    Electronic Resource
    Electronic Resource
    On the dirichlet problem for degenerate Monge-Ampère equations (1999)
    Springer
    Acta mathematica 182 (1999), S. 87-104 
    Details
    ISSN: 1871-2509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02392824
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  • 10
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    α decay in intense laser fields: Calculations using realistic nuclear potentials (2019)
    American Physical Society
    Details
    Publication Date: 2019-04-22
    Print ISSN: 2469-9985
    Electronic ISSN: 2469-9993
    Topics: Physics
    Published by American Physical Society
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