热弹性体非均匀预应力状态识别的若干方面

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.07.008

A.O. Vatul’yan , S.A. Nesterov

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引用次数: 10

摘要

提出了热弹性体非均匀预应力状态的识别问题。为了解决这一问题，在拉普拉斯变换中热弹性直接问题的一个弱表述的基础上，得到了未知函数和实测函数之间的算子方程。通过算例，研究了空心圆柱初始状态的迭代辨识过程。给出了不同类型函数重构的数值实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies

The problem of identifying the inhomogeneous prestressed state in thermoelastic bodies is formulated. To solve this problem on the basis of a weak statement of the direct problem of thermoelasticity in Laplace transforms, operator equations have been obtained, relating the unknown and measured functions. By way of an example, an iterative procedure of identification of the initial state of a hollow cylinder is considered. Results are presented of numerical experiments on reconstruction of different types of functions.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.