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Mixed Elastico-Plasticity Problems with Partially Unknown Boundaries

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Abstract

In this paper, we study mixed elastico-plasticity problems in which part of the boundary is known, while the other part of the boundary is unknown and is a free boundary. Under certain conditions, this problem can be transformed into a Riemann-Hilbert boundary value problem for analytic functions and a mixed boundary value problem for complex equations. Using the theory of generalized analytic functions, the solvability of the problem is discussed.

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Authors and Affiliations

  1. School of Information, Renmin University of China, Beijing, 100872, China

    Zuo-liang Xu

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  1. Zuo-liang Xu
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Correspondence to Zuo-liang Xu.

Additional information

Supported by the National Natural Science Foundation of China (No. 10471149, 10671207) and the Postdoctoral Science Foundation of China (No. 2005037447).

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Xu, Zl. Mixed Elastico-Plasticity Problems with Partially Unknown Boundaries. Acta Mathematicae Applicatae Sinica, English Series 23, 629–636 (2007). https://doi.org/10.1007/s10255-007-0401

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  • DOI: https://doi.org/10.1007/s10255-007-0401

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