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2D problems of surface growth theory with applications to additive manufacturing

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, , Citation A V Manzhirov and M N Mikhin 2018 J. Phys.: Conf. Ser. 991 012057 DOI 10.1088/1742-6596/991/1/012057

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manzh@inbox.ru

mmikhin@inbox.ru

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1 Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

2 Branch of the Russian State University for the Humanities, Moscow Region, Domodedovo, Russia

3 Moscow Aviation Institute (National Research University), Moscow, Russia

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1742-6596/991/1/012057

Abstract

We study 2D problems of surface growth theory of deformable solids and their applications to the analysis of the stress-strain state of AM fabricated products and structures. Statements of the problems are given, and a solution method based on the approaches of the theory of functions of a complex variable is suggested. Computations are carried out for model problems. Qualitative and quantitative results are discussed.

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10.1088/1742-6596/991/1/012057