Experimental Validation of the 2D Meshless Random Grid Method

Author(s):  
Athanasios Iliopoulos ◽  
John G. Michopoulos ◽  
Adrian C. Orifici ◽  
Rodney S. Thomson

This paper presents the first systematic effort for the experimental validation of the 2D Meshless Random Grid Method (MRGM) for the full field measurement of displacement and strain fields. Although the MRGM has been demonstrating very promising characteristics of accuracy, performance and ease of application based on previously conducted sensitivity analysis supported by virtual data, extensive experimental validation was not available until now. This work comes to fill this gap and presents preliminary validation results against strain gauge data collected from open hole tension experiments of composite specimens. In addition, strain and displacement field verification is performed by comparison studies with finite element analysis results.

Author(s):  
Athanasios Iliopoulos ◽  
John G. Michopoulos ◽  
John C. Hermanson

Direct Strain Imaging accomplishes full field measurement of the strain tensor on the surface of a deforming body, by utilizing arbitrarily oriented engineering strain measurements originating from digital imaging. In this paper an evaluation of the method’s performance with respect to its operating parameter space is presented along with a preliminary validation based on actual experiments on composite material specimens under tension. It has been shown that the method exhibits excellent accuracy characteristics and outperforms methods based on displacement differentiation.


Author(s):  
A. P. Iliopoulos ◽  
J. G. Michopoulos

The recently developed mesh-free random grid method (MFRGM) has been exhibiting very promising characteristics of accuracy, adaptability, implementation flexibility and efficiency. These are essential features enabling material characterization methodologies that depend on the experimental measurement of displacement and strain fields. The aim of the present paper is to present a sensitivity analysis that aids into determining the effects of the material or loading orientation of an anisotropic medium with an open hole and critical computational parameters characterizing the MFRGM in terms of its accuracy performance. First a brief outline of the MFRGM is provided. A sensitivity analysis based on the effect of the orientation angle of an anisotropic medium with an open hole is presented for a realistic choice of experimental (optical) characteristics. Finally, the effects of the mean dot size and dot distance (that are essential experimental parameters of the method) on the strain fields, are presented.


2010 ◽  
Vol 112 ◽  
pp. 49-62 ◽  
Author(s):  
Sébastien Mistou ◽  
Marina Fazzini ◽  
Moussa Karama

The purpose of this work is to study the Iosipescu shear test and more precisely its ability to characterize the shear modulus of a carbone/epoxy composite material. The parameters influencing this identification are the fibre orientation, the geometry of the notch and the boundary conditions. Initially these parameters were studied through the finite element analysis of the shear test. Then, the measurement of the shear strains was carried out by traditional methods of measurement (strain gauges) but also by optical methods. These optical methods: the digital image correlation and the electronic speckle pattern interferometry (ESPI); allow for various levels of loading, to reach a full-field measurement of the shear strain. This enabled us to study the strain distribution on the section between the two notches. The finite element model enabled us to study the parameters influencing the calculation of the shear modulus in comparison with strain gauges, image correlation and ESPI. This work makes it possible to conclude on optimal parameters for the Iosipescu test.


Author(s):  
J. G. Michopoulos ◽  
A. P. Iliopoulos ◽  
T. Furukawa

The present paper reports on the progress towards the evaluation of the Mesh Free Random Grid Method (MFRGM) for the inverse constitutive characterization of composite materials. The method provides the capability for the remote (non contact) measurement of displacement and strain fields of structures bounded by flat surfaces that deform under various mechanical and generalized loading conditions. The known forward solution of an anisotropic plate with an open hole, loaded at infinity, is used to generate synthetic images MFRG. The inverse problem for determining the constitutive parameters formulated directly on the generalized constitutive law. Performance of the technique is evaluated by the usage of just one frame corresponding to one set of strain state for various amounts of noise. The evaluation is repeated by utilizing frames corresponding to different rotations of the laminate relative to the loading direction. Finally the exceedingly accurate behavior of the methodology is discussed.


2006 ◽  
Author(s):  
Raphaël Moulart ◽  
René Rotinat ◽  
Fabrice Pierron ◽  
Gilles Lerondel ◽  
Pascal Royer

Strain ◽  
2010 ◽  
Vol 48 (1) ◽  
pp. 1-15 ◽  
Author(s):  
A. P. Iliopoulos ◽  
J. G. Michopoulos ◽  
N. P. Andrianopoulos

Author(s):  
Christopher P. Dick ◽  
Yannis P. Korkolis

The ring hoop tension test (RHTT) is investigated experimentally and numerically to determine its validity and limitations in predicting the hoop response of materials in tubular form. Our experiments involved RHT-Testing of Al-6061-T4 tubes. Digital image correlation (DIC) was used to capture the strain evolution in the gage section of the specimens, giving a full-field measurement of the strains. The local hoop stress-strain response of the material was assessed in this way. Finite element analysis was used to further investigate the effects of friction, eccentricity and contact pressure on the recorded response. Friction was found to have a negligible effect on the recorded response for friction coefficient values of 0.01 and lower. However, it was found that larger values of friction may render the test meaningless. Tube eccentricity of the magnitude present in the tubes tested here (±4% of the nominal thickness) was determined to have no effect on the material response. It was also determined that tubes should not be turned to a uniform thickness as this may induce machining damage and release the existing residual stresses, thus causing error in determining the tube response in the hoop direction. The contact pressure was found to not significantly affect the state of uniaxial tension in the specimen and thus to have a negligible effect on the material response. By comparing the hoop with the axial response, the material anisotropy of the Al-6061-T4 tubes was established.


Author(s):  
J. G. Michopoulos ◽  
A. P. Iliopoulos

The present paper reports on the progress towards the development of a computational workbench infrastructure that implements the Mesh Free Random Grid Method (MFRGM) for the remote (non contact) measurement of displacement and strain fields. The method is applicable to structures bounded by flat surfaces that deform under various mechanical and generalized loading conditions. A brief description of MFRGM is followed by the description of the current prototype of a software workbench developed for the computational implementation of the algorithms involved with the analysis display and export of the experimental results associated with any specific applications of the method. Displacement validation as well as two examples of its usage are also presented.


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