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  • Articles  (118)
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  • finite element method  (118)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (116)
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  • 1
    Electronic Resource
    Electronic Resource
    Finite Element Modelling and the Experimental Verification of Superplastic Forming (1999)
    Springer
    Advanced performance materials 6 (1999), S. 149-159 
    Details
    ISSN: 1572-8765
    Keywords: super plastic forming ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract FEM analysis has proved to be a powerful investigative tool capable of encompassing all the aspects that characterise an SPF process. However, despite the high potential of FEM programs they do not allow one to directly and suitably obtain the thickness of a sheet product for high deformation values, as commonly occurs in SPF processes. Many papers have been published on finite element analysis of S.P.F. process but the question of calculus accuracy in thicknesses of a sheet product has not been directly investigated. This problem has been already considered by the authors in a previous study which proposed an algorithm to determine thicknesses for a specific application. The software set up starts out with the results of the FEM modelling, keeps track of the “deformation” undergone by each element of the mesh and calculates to a good approximation the thicknesses at the end of the forming. Although the original version of the algorithm could only be used for the application studied an updated version is introduced in this study that can be used for any case. In other words, the software generates the thickness profile at the end of the analysis independently of technological set up, item shape and type of simulation (3D and 2D). The proposed algorithm was tested with reference to the superplastic forming of an item of simple geometry beginning with a thin circular plate blocked at the edges and put under constant hydrostatic pressure on one side. The test material, made superplastic by means of a series of repeated laminations, was characterised using an alternative method to the traditional tension test. The results of the experiments are in good accordance with the numerical predictions both in terms of thickness distribution and forming times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008731200789
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  • 2
    Electronic Resource
    Electronic Resource
    Crack propagation in a functionally graded plate under thermal shock (2000)
    Springer
    Archive of applied mechanics 70 (2000), S. 377-386 
    Details
    ISSN: 1432-0681
    Keywords: Key words Curved crack ; compositional profile ; thermal shock ; functionally graded material ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Thermal cracking in a ceramic/metal functionally graded plate is discussed. When a functionally graded plate is cooled from high temperature, curved or straight crack paths are experimentally observed on the ceramic surface. One of the reasons that make the crack paths to differ are the thermal or mechanical conditions. In order to clarify the influence of these conditions on the crack path, the crack propagation is simulated using finite element method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004199900069
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  • 3
    Electronic Resource
    Electronic Resource
    A theory of large-strain isotropic thermoplasticity based on metric transformation tensors (1995)
    Springer
    Archive of applied mechanics 66 (1995), S. 45-64 
    Details
    ISSN: 1432-0681
    Keywords: finite elastoplasticity ; thermoplasticity ; becking ; plastic localization ; coupled problems ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A formulation of isotropic thermoplasticity for arbitrary large elastic and plastic strains is presented. The underlying concept is the introduction of a metric transformation tensor which maps a locally defined six-dimensional plastic metric onto the metric of the current configuration. This mixed-variant tensor field provides a basis for the definition of a local isotropic hyperelastic stress response in the thermoplastic solid. Following this fundamental assumption, we derive a consistent internal variable formulation of thermoplasticity in a Lagrangian as well as a Eulerian geometric setting. On the numerical side, we discuss in detail an objective integration algorithm for the mixed-variant plastic flow rule. The special feature here is a new representation of the stress return and the algorithmic elastoplastic moduli in the eigenvalue space of the Eulerian plastic metric for plane problems. Furthermore, an algorithm for the solution of the coupled problem is formulated based on an operator split of the global field equations of thermoplasticity. The paper concludes with two representative numerical simulations of thermoplastic deformation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00786688
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  • 4
    Electronic Resource
    Electronic Resource
    A theory of large - strain isotropic thermoplasticity based on metric transformation tensors (1995)
    Springer
    Archive of applied mechanics 66 (1995), S. 45-64 
    Details
    ISSN: 1432-0681
    Keywords: Key words finite elastoplasticity ; thermoplasticity ; becking ; plastic localization ; coupled problems ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary  A formulation of isotropic thermoplasticity for arbitrary large elastic and plastic strains is presented. The underlying concept is the introduction of a metric transformation tensor which maps a locally defined six - dimensional plastic metric onto the metric of the current configuration. This mixed-variant tensor field provides a basis for the definition of a local isotropic hyperelastic stress response in the thermoplastic solid. Following this fundamental assumption, we derive a consistent internal variable formulation of thermoplasticity in a Lagrangian as well as a Eulerian geometric setting. On the numerical side, we discuss in detail an objective integration algorithm for the mixed-variant plastic flow rule. The special feature here is a new representation of the stress return and the algorithmic elastoplastic moduli in the eigenvalue space of the Eulerian plastic metric for plane problems. Furthermore, an algorithm for the solution of the coupled problem is formulated based on an operator split of the global field equations of thermoplasticity. The paper concludes with two representative numerical simulations of thermoplastic deformation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00786688
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  • 5
    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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  • 6
    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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  • 7
    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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  • 8
    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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  • 9
    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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  • 10
    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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