Identification of the four orthotropic plate stiffnesses using a single open-hole tensile test

Molimard, Jérôme; Riche, Rodolphe Le; Vautrin, Alain; Lee, Jung-Ryul

doi:10.1007/bf02427987

Cited by 83 publications

(59 citation statements)

References 13 publications

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“…On the contrary, the inverse problem for equation (13) is to identify or estimate l, with u known from experimental measurements (DIC in current study). For the inverse parameter identification problems, various methods have been developed, namely, finite element model updating (FEMU) method [54,55], virtual fields method (VFM) [56], constitutive equation gap method [57], and equilibrium gap method [58]. These methods have been reviewed recently [38,59].…”

Section: Hybrid Dic-fem Optimization Methodsmentioning

confidence: 99%

Direct Extraction of Cohesive Fracture Properties from Digital Image Correlation: A Hybrid Inverse Technique

2010

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The accuracy of an adopted cohesive zone model (CZM) can affect the simulated fracture response significantly. The CZM has been usually obtained using global experimental response, e.g., load versus either crack opening displacement or load-line displacement. Apparently, deduction of a local material property from a global response does not provide full confidence of the adopted model. The difficulties are: (1) fundamentally, stress cannot be measured directly and the cohesive stress distribution is non-uniform; (2) accurate measurement of the full crack profile (crack opening displacement at every point) is experimentally difficult to obtain. An attractive feature of digital image correlation (DIC) is that it allows relatively accurate measurement of the whole displacement field on a flat surface. It has been utilized to measure the mode I traction-separation relation. A hybrid inverse method based on combined use of DIC and finite element method is used in this study to compute the cohesive properties of a ductile adhesive, Devcon Plastic Welder II, and a quasi-brittle plastic, G-10/FR4 Garolite. Fracture tests were conducted on single edge-notched beam specimens (SENB) under four-point bending. A full-field DIC algorithm was employed to compute the smooth and continuous displacement field, which is then used as input to a finite element model for inverse analysis through an optimization procedure. The unknown CZM is constructed using a flexible Bspline without any "a priori" assumption on the shape. The inversely computed CZMs for both materials yield consistent results. Finally, the computed CZMs are verified through fracture simulation, which shows good experimental agreement.

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Section: Hybrid Dic-fem Optimization Methodsmentioning

confidence: 99%

Direct Extraction of Cohesive Fracture Properties from Digital Image Correlation: A Hybrid Inverse Technique

2010

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“…An open-hole tension specimen was employed by Molimard et al [77] to measure four orthotropic plate constants from a single geometry. They used phase-shifted moiré interferometry to measure full-field surface displacement and strain.…”

Section: Materials Characterizationmentioning

confidence: 99%

Recent Applications of Moiré Interferometry

Ifju

Han

2010

Exp Mech

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Moiré interferometry has been a valuable experimental technique for the understanding of the mechanical behavior of materials and structures. Over the last decade less emphasis has been placed on the development of the technique and more towards applications. This paper is a review article on recent applications using moiré interferometry in the fields of microelectronics devices, material characterization, micromechanics, residual stress, composite materials, fracture mechanics, and biomechanics. The general principles of moiré interferometry and advancement of techniques will not be discussed in this text, but references will be provided.

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“…The formulation of Eq. (1) or its normalized version, which we call the basic least-squares in the rest of the paper, have been recently used, for example, in the domain of elastic constants identification from full field strain measurements [5][6][7][8] or from vibration data [9][10][11][12].…”

Section: A Least-squares Formulationsmentioning

confidence: 99%

“…In spite of the existence of advanced least-squares formulations, which take into account statistical information [2][3][4], the simplest formulations of the leastsquares method, based on minimizing the L 2 norm of the residual [2], are still extensively used today [5][6][7][8][9][10][11][12]. This basic nonstatistical leastsquares formulation is very simple and most often leads to reasonably accurate results.…”

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confidence: 99%

Introduction to the Bayesian Approach Applied to Elastic Constants Identification

et al. 2010

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The basic formulation of the least-squares method, based on the L 2 norm of the residuals, is still widely used today for identifying elastic constants of aerospace materials from experimental data. While this method often works well, methods that can benefit from statistical information, such as the Bayesian method, may sometimes be more accurate. We seek situations with significant difference between the material properties identified by the two methods. For a simple three-bar truss example we illustrate three situations in which the Bayesian approach systematically leads to more accurate results: different sensitivity of the measured response to the parameters to be identified, different uncertainty in the measurements, and correlation among response components. When all three effects add up, the Bayesian approach can be much more accurate. Furthermore, the Bayesian approach has the additional advantage of providing the uncertainty in the identified parameters. We also compare the two methods for a more realistic problem of identification of elastic constants from natural frequencies of a composite plate.

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Identification of the four orthotropic plate stiffnesses using a single open-hole tensile test

Cited by 83 publications

References 13 publications

Direct Extraction of Cohesive Fracture Properties from Digital Image Correlation: A Hybrid Inverse Technique

Direct Extraction of Cohesive Fracture Properties from Digital Image Correlation: A Hybrid Inverse Technique

Recent Applications of Moiré Interferometry

Introduction to the Bayesian Approach Applied to Elastic Constants Identification

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