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  • 1
    Electronic Resource
    Electronic Resource
    A SUPERCONVERGENT STRESS RECOVERY TECHNIQUE WITH EQUILIBRIUM CONSTRAINT (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 1139-1160 
    Details
    ISSN: 0029-5981
    Keywords: superconvergent stress recovery ; patch stress field ; stress error at discrete points ; equilibrium constraint ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A stress recovery technique is developed to extract more accurate nodal stress values from the raw stress values obtained directly from the finite element analysis. In the present method a stress field is assumed over a patch of elements, and a least-squares functional is formed using the discrete stress errors at the superconvergent stress points and the residual of the equilibrium equation expressed in the virtual work form. The results of numerical tests conducted on one-dimensional and two-dimensional example problems demonstrate the validity and effectiveness of the present method. The introduction of an equilibrium constraint allows a patch stress field of higher order than is possible without the equilibrium constraint and this leads to a recovered stress field of higher accuracy. Because the residual of equilibrium is expressed in the virtual work form, the proposed method can easily be applied to arbitrarily curved shell structures. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 23 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 2
    Electronic Resource
    Electronic Resource
    A vectorial approach to computational modelling of beams undergoing finite rotations (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 41 (1998), S. 527-540 
    Details
    ISSN: 0029-5981
    Keywords: vectorial kinematics ; finite rotation ; beam finite element ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The description of finite rotations of beam-like structures using rotational parameters is not the most efficient, from a computational standpoint, because of the non-vectorial nature of finite rotations in three-dimensional space. In the present study, the classical rigid cross-section assumption is abandoned and the motions of beam directors in three-dimensional space is represented using vector quantities so that the resulting configuration space of a beam becomes a linear vector space. Issues concerning the proper constitutive relations are also discussed. Numerical results illustrate that the present approach produces attractive properties for various non-linear problems involving very large rotations compared to the conventional rotational parameter approach. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    A four-node solid shell element formulation with assumed strain (1998)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 43 (1998), S. 909-924 
    Details
    ISSN: 0029-5981
    Keywords: solid shell formulation ; four-node element ; assumed strain fields ; bubble function displacement ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A set of four-node shell element models based on the assumed strain formulation is considered here. The formulation allows for changes in the shell thickness. As a result, the kinematics of deformation are described by purely vectorial variables, without using rotational angles. The present study investigates the use of bubble function displacements and the assumed strain field. Careful selection of the assumed strain terms generates an element whose order of numerical integration does not increase even when the bubble function displacements are added. Results for the four-node element without any bubble function terms show sensitivity to element distortion. Use of the bubble functions with a carefully chosen assumed strain field greatly improves element performance. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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