Optimal heating control of thermosensitive bodies under plastic deformation of material

被引：1

作者：

Kushnir, Roman M. ^{[1
]}

Yasinskyy, Anatoliy V. ^{[1
]}

机构：

[1] Ya S Pidstryhach Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2013年 / 78卷 / 01期

关键词：

Inverse problem; Optimal control; Thermal stresses; Thermoelastoplasticity; RECTANGULAR DOMAIN; STRESS;

D O I：

10.1007/s10665-011-9467-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A mathematical statement has been formulated and algorithms for solving one- and two-dimensional problems on fast operation optimal heating control of homogeneous thermosensitive canonical form bodies has been developed. We have determined the control (the surrounding temperature at one of the boundary surfaces or heat flux at one of the boundary surfaces) which in a minimal time carries the body from the initial thermal state to the final one, characterized by the given mean-integral temperature. In addition, restrictions on the control function and the maximal tangential stress intensity or accumulated plastic shear strain have been considered. The elastoplastic deformation of the material has been studied within the framework of general plasticity theory proposed by Il'yushin.

引用

页码：83 / 98

页数：16

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