New framework for Bayesian statistical analysis and interpolation of residual stress measurements

被引：10

作者：

Faghidian, S. Ali ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Mech & Aerosp Engn, Tehran, Iran

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2013年 / 50卷

关键词：

Residual stress; Bayesian approach; Modified Shepard method; Cauchy PDF; Weighted least square technique; NEUTRON-DIFFRACTION; SCATTERED DATA; SETS;

D O I：

10.1016/j.mechrescom.2013.02.008

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present study, different residual stress and strain data measured from various techniques are analyzed using a Bayesian statistical approach and finally interpolated utilizing modified Shepard method. This research is carried out to compare the capability, simplicity and accuracy of Bayesian approach with different probability density functions. Three different probability density functions: Gaussian, Cauchy and Sivia's distribution are studied and compared here. Finally the modified Shepard method is utilized with new interpolant and weight functions, to interpolate the scattered measured data. The proposed framework is then applied to two sets of measured residual data obtained from various experimental techniques. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：17 / 21

页数：5

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