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  • Articles  (30)
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  • finite element method  (30)
  • 1990-1994  (30)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (29)
  • Geography  (1)
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  • Articles  (30)
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  • 1
    Electronic Resource
    Electronic Resource
    A numerical method for solving equilibrium problems of masonry-like solids (1994)
    Springer
    Meccanica 29 (1994), S. 175-193 
    Details
    ISSN: 1572-9648
    Keywords: Masonry-like materials ; 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
    Description / Table of Contents: Sommario In questo lavoro viene proposto un metodo numerico per la soluzione di problemi di equilibrio di solidi non resistenti a trazione. Vengono successivamente risolti numericamente alcuni problemi di equilibrio e la soluzione ottenuta è confrontata con quella esatta.
    Notes: Abstract This paper proposes a numerical method for the solution of equilibrium problems of solids which do not support tension. Some boundary-value problems are solved numerically and the solution obtained is compared to the exact one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007500
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  • 2
    Electronic Resource
    Electronic Resource
    Stress function method in shakedown analysis of axisymmetric shells (1992)
    Springer
    Acta mechanica solida Sinica 5 (1992), S. 99-110 
    Details
    ISSN: 0894-9166
    Keywords: shakedown analysis ; stress function method ; axisymmetric shells ; finite element method ; linear programming
    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 self-equilibrated stress obtained from the stress functions of thin shells is used for the static shakedown theorem as a residual stress. In combination with the finite element method, a linear programming formulation of the shakedown analysis of axisymmetric shells is derived. The physical meaning of the stress function method is clear and its computing amount is small. Some examples of the plates and shells show that the method is reasonable and efficient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02215631
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  • 3
    Electronic Resource
    Electronic Resource
    On the local average of random field in stochastic finite element analysis (1990)
    Springer
    Acta mechanica solida Sinica 3 (1990), S. 27-42 
    Details
    ISSN: 0894-9166
    Keywords: finite element method ; random field ; stochastic system ; discretization
    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 distinguishing feature of stochastic finite element analysis is that it involves the discretization of the parameter space of random fields of material properties, the geometry of structure and / or the loads. It is shown in earlier investigations that a reasonable procedure of discretization is to take the local averages of the random fields on each element. In the present paper the formulae for the covariance of the local averages of a homogeneous random vector field on rectangular elements are generalized by relaxing the condition. For an inhomogeneous random field and /or non-rectangular elements, a procedure of using Gaussian quadrature to evaluate the means and covariances of the local averages is proposed. Thus, the stochastic finite element method (SFEM) based on the local averages of random fields is adapted to a structure with irregular shape and / or inhomogeneous random fields. The effects of the mesh geometry, the ratio of element size to the correlation scale as well as the number of Gaussian quadrature points on the convergence of SFEM are discussed. It is found that even better results could be obtained by utilizing appropriate Gaussian quadrature instead of exact local average.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02205622
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  • 4
    Electronic Resource
    Electronic Resource
    A mathematical model for solid-gas coupled problems on the methane flowing in coal seam (1993)
    Springer
    Acta mechanica solida Sinica 6 (1993), S. 459-472 
    Details
    ISSN: 0894-9166
    Keywords: solid-gas coupled model ; methane flowing ; 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 fundamental theories of the solid deformation and methane flowing, a mathematical model for solid-gas coupled problem on methane flowing is developed. The smoothness and existence of the solution of this model are proved, and the numerical method for solving the present problem is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207736
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  • 5
    Electronic Resource
    Electronic Resource
    Computational limit analysis of rigid-plastic bodies in plane strain (1993)
    Springer
    Acta mechanica solida Sinica 6 (1993), S. 341-348 
    Details
    ISSN: 0894-9166
    Keywords: limit analysis ; mathematical programming ; 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 This paper deals with the computational methods for limit analysis of plane strain problems. The finite element mathematical programming formula (FE-MPF) for determining the upper bound load multiplier established by the authors earlier is adopted and modified for plane strain problems. The penalty method is used to impose the incompressibility constraint. The FE-MPF is solved by a direct iteration procedure without the need of a searching process. This algorithm is not sensitive to the volumetric locking effect. And it can be easily extended to the limit analysis of three dimensional problems. The results of numerical examples are satisfactory and show the stable convergency of the present algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02208020
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  • 6
    Electronic Resource
    Electronic Resource
    New mixed plate-bending elements with shear strain interpolations (1990)
    Springer
    Acta mechanica solida Sinica 3 (1990), S. 217-227 
    Details
    ISSN: 0894-9166
    Keywords: bending of plate ; 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 This paper is concerned with two mixed plate-bending elements with shear strain interpolations, a quadrilateral element and an 8-node serendipity-type element based on discussions on the element proposed in Ref.[1]. The shear strains and inner-forces in the natural coordinates are interpolated in an element and then transformed into Cartesian coordinates in accordance with covariant and contravariant tensor transformations, respectively. The quadrilateral element coincides with the element in Ref.[1] when it is rectangular. Numerical examples show that the two new elements are free from shear locking and spurious kinematic modes under regular and irregular meshes and have the advantages of being insensitive to element distortion and able to give fairly accurate results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207580
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  • 7
    Electronic Resource
    Electronic Resource
    Fluid-structure impact analysis with a mixed method of arbitrary Lagrangian-Eulerian BE and FE (1993)
    Springer
    Acta mechanica solida Sinica 6 (1993), S. 365-376 
    Details
    ISSN: 0894-9166
    Keywords: fluid-structure impact ; finite element method ; boundary element method ; coupled vibration
    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 mixed method of arbitrary Lagrangian-Eulerian boundary element and finite element method (ALE-BE-FE method) is proposed for solving fluid-structure impact problems, in which the effect of structural deformation due to hydrodynamic pressure is taken into account. In addition, this method also enables us to analyze the influence of nonlinear free surface conditions on the impact response. Two numerical examples of an impacting cylinder and an impacting wedge into an initially calm water treated as 2-D problems are presented. It shows that the proposed method is effective to obtain a fluid-structure impact solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207728
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  • 8
    Electronic Resource
    Electronic Resource
    P-version hybrid analytical finite element method for plate bending problems (1993)
    Springer
    Acta mechanica solida Sinica 6 (1993), S. 401-413 
    Details
    ISSN: 0894-9166
    Keywords: plate bending problems ; generalized variational principle ; p-version refinement ; biharmonic polynomial space ; 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 Two sets of trial functions with different variables are constructed for the admissible space of the finite element analysis. The trial functions satisfy the equilibrium differential equation inside elements, while the deflections and rotations on the edges of the elements are approximated by the Peano hierarchical interpolation functions. Then, a generalized variational principle is applied to set up the p-version hybrid analytical finite element method for plate bending problems. The accuracy of finite element computation can be improved by increasing the order of the interpolation polynomials with fixed mesh. In the finite element formulation, to obtain the stiffness matrices and the load vectors, it is only necessary to perform quadrature over the edges of the elements. These matrices and vectors possess an embedding structure. The conformability between the elements can be controlled automatically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207731
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  • 9
    Electronic Resource
    Electronic Resource
    The effect of the sheet rigidity on strength of the spot weld tension shear joint (1990)
    Springer
    Acta mechanica solida Sinica 3 (1990), S. 403-416 
    Details
    ISSN: 0894-9166
    Keywords: spot welded joint ; stress intensity factor ; fatigue life ; tension test ; fatigue test ; 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 This paper presents some test and analysis results for a spot welded joint subjected to tensile and alternate load. The effect of sheet rigidity on the tensile strength and fatigue life of the spot welded joint is studied by using the stress intensity factorsK I,K II,K III and an “effective stress intensity factor” Kϕθmax calculated by the finite element method for crack around the nugget. The results show that the “effective stress intensity factor” Kϕθmax is an essential parameter for estimating the fatigue life of the spot welded joint.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02284772
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  • 10
    Electronic Resource
    Electronic Resource
    Effective numerical methods for elasto-plastic contact problems with friction (1990)
    Springer
    Acta mechanica Sinica 6 (1990), S. 349-356 
    Details
    ISSN: 1614-3116
    Keywords: elasto-plasticity ; contact problem ; 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 Several effective numerical methods for solving the elasto-plastic contact problems with friction are presented. First, a direct substitution method is employed to impose the contact constraint conditions on condensed finite element equations, thus resulting in a reduction by half in the dimension of final governing equations. Second, an algorithm composed of contact condition probes and elasto-plastic iterations is utilized to solve the governing equation, which distinguishes two kinds of nonlinearities, and makes the solution unique. In addition, Positive-Negative Sequence Modification Method is used to condense the finite element equations of each substructure and an analytical integration is introduced to determine the elasto-plastic status after each time step or each iteration, hence the computational efficiency is enhanced to a great extent. Finally, several test and practical examples are presented showing the validity and versatility of these methods and algorithms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02486894
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