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Modeling and optimization of shape change in shell spatial cross-sections under superplastic moulding

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Abstract

The necessity to develop and optimize new technological processes of gas moulding of shells under the superplasticity conditions, which ensure large elongation and complexity of the shape of end items, makes the specialists in the field of mathematical simulation to pose and solve problems of constant improvement of the imitation models. Because of a large number of “embedded” nonlinearities (the physical properties of the material, friction, and unknown boundaries), the solution of such problems requires large computer resources, high qualification of designers, and large amount of labor.

In the present paper, we consider the problems of express analysis of pattern change of spatial shells on the basis of estimation of the behavior of their critical cross-sections. We solve problems of moulding of titan shells (made of VT6 alloy) in a matrix of complicated shape. We theoretically and experimentally justify the methods for predicting and constructing the optimal technological processes of shell deformation under conditions close to superplasticity by using the 2.5D designing procedures.

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References

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Authors and Affiliations

  1. Moscow State Institute of Electronics and Mathematics, B. Trekhsvyatitel’skii per. 3, Moscow, 109028, Russia

    E. N. Chumachenko

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  1. E. N. Chumachenko
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Correspondence to E. N. Chumachenko.

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Original Russian Text © E.N. Chumachenko, 2008, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2008, No. 4, pp. 143–153.

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Chumachenko, E.N. Modeling and optimization of shape change in shell spatial cross-sections under superplastic moulding. Mech. Solids 43, 642–651 (2008). https://doi.org/10.3103/S0025654408040122

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  • DOI: https://doi.org/10.3103/S0025654408040122

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