Reconstruction of inhomogeneous properties of orthotropic viscoelastic layer

被引：8
|
作者：
Vatulyan, Alexander O. [1 ]
Yavruyan, Oksana V. [2 ]
Bogachev, Ivan V. [1 ]
机构：
[1] Southern Fed Univ, Fac Math Mech & Comp Sci, Dept Theory Elast, Rostov Na Donu 344090, Russia
[2] Russian Acad Sci & Republ Northern Ossetia Alaniy, Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz 362027, Russia
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 51卷 / 11-12期
基金：
俄罗斯基础研究基金会;
关键词：
Ocsillations; Reconstruction of mechanical properties; Inhomogeneity; Orthotropy; Viscoelasticity; Layer; Regularizing iteration schemes; PARAMETER-IDENTIFICATION; INVERSE PROBLEM; BEHAVIOR;
D O I：
10.1016/j.ijsolstr.2014.02.032
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The consecutive scheme of reconstructing the functions characterizing the instantaneous and long-termed modules, for inhomogeneous orthotropic viscoelastic layer whose properties continuously vary through a thickness is proposed. The identification problem is solved on the basis of the additional information on the integral characteristics of displacement fields measured on top border of a layer. Iterative process of reconstruction of six unknown functions is formulated. To reconstruct the rest six functions, systems of Fredholm's integral equations of the first kind with smooth kernels are received. Computational experiment on a reconstruction of various laws of inhomogeneity is conducted; a comparative analysis of the results obtained is carried out. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：2238 / 2243
页数：6
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