Detection of nonuniform residual strain in a pipe

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:139

Article

Nedin, R. D.^1,2  Vatulyan, A. O.^1,2  Dudarev, V. V.^1,2  Bogachev, I. V.^1,2 

[1] Southern Fed Univ, Inst Math Mech & Comp Sci, 8a Milchakova Str, Rostov Na Donu 344090, Russia

[2] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, 22 Markusa Str, Vladikavkaz 362027, Russia

关键词: Residual stress;    Residual strain;    Pipe;    Plane deformation;    Identification;    Regularization;    Inverse problem;    Acoustic method;   

DOI  :  10.1016/j.ijsolstr.2018.01.026

来源: Elsevier

【 摘 要 】

On the basis of the general linearized statement of the problem on motion of prestressed elastic anisotropic body, we formulate the boundary value problem on steady-state radial vibration of elastic isotropic pipe. We present a comparative analysis of the influence of residual stress and strain levels on frequency response functions of the pipe. We formulate the inverse problem on identification of the inhomogeneous residual stress-strain state on the basis of the additional data on the displacement function at the external radius measured in some frequency range. To solve the inverse problem, we propose a special iterative approach based on the regularization technique. A representative series of computational experiments on a reconstruction of different residual strain functions is conducted. (C) 2018 Elsevier Ltd. All rights reserved.

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