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  • 1
    Electronic Resource
    Electronic Resource
    A time integration algorithm for elasto-viscoplastic cubic crystals applied to modelling polycrystalline deformation (1992)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 35 (1992), S. 1565-1588 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An algorithm for integrating the constitutive equations for an elasto-viscoplastic cubic crystal is presented which is shown to be easily employed in a polycrystalliné analysis. Anisotropic elastic behaviour is incorporated into the standard constitutive equations for ductile single crystals. The algorithm is shown to be efficient, robust and general. The primary advantage of this algorithm is that is provides an implicit integration of the plastic deformation gradient while including the elastic response. This permits taking large time steps while maintaining accuracy and stability. Several polycrystalline examples are presented to demonstrate the effect of the time step on the solution. Examples also are presented which compare the algorithm described herein to an algorithm which neglects the elastic part of the deformation. In addition, the effect of the anisotropic component of the elasticity is investigated by comparing the results with those obtained assuming isotropic elasticity.
    Additional Material: 20 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620350803
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    SHAPE SENSITIVITY ANALYSIS FOR STEADY METAL-FORMING PROCESSES (1996)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 39 (1996), S. 1199-1217 
    Details
    ISSN: 0029-5981
    Keywords: sensitivity analysis ; shape optimization ; extrusion ; drawing ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper develops a numerical technique for determining the shape sensitivity parameters in steady metal- forming processes such as drawing and rolling. The adjoint method is applied to the discrete non-linear system of equations in the finite element model in order to determine the discrete matrix of sensitivity parameters. In this work, two specific cases are considered. The first case involves determining the sensitivity of the process power requirement to the process geometry and the second case involves determining the sensitivity of the internal state variable distribution in the final product to the process geometry. The process geometry is assumed to be characterized by a finite number of shape parameters. The internal state variable distribution in this case represents the resistance to plastic flow and is considered to be related to the quality of the final product. Numerical examples for a simple drawing process are presented to demonstrate the efficiency of the algorithm.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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