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  • Engineering  (2)
  • 1975-1979  (1)
  • 1970-1974  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1677-1696 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents a classification of mathematical commonly encountered in connection with solution of non-linear finite element problems. The principal methods for numerical solution of the non-linear equations are surveyed and discussed. Special emphasis is placed upon the description of an automatic load incrementation procedure with equilibrium iterations. It is shown how this algorithm can be adapted for solving problems involving instabilities, snap-through and snap-back. A simple scalar quantity denoted the current stiffness parameter is suggested; this parameter is used to characterize the overall behaviour of non-linear problems. It can also be used as a steering parameter in the solution process. The use of the present technique is illustrated by several examples.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 5 (1973), S. 543-556 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The finite element method is applied to stability and large deflection analysis of plates and shallow shells. Based on the von Karman strain expressions for plates and the Marguerre shallow shell theory, equilibrium and incremental equations for a non-linear analysis by finite elements is developed. Great emphasis is placed on the specific matrix formulation, thereby obtaining a highly efficient method that is well suited to modern electronic computer analysis. A doubly curved, non-linear quadrilateral element is developed. The versatility and efficiency of the present method is illustrated by several examples including large deflection and post shear-buckling behaviour of plates and snap-through of shallow shells.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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