Elastoplastic Behavior Identification for Heterogeneous Loadings and Materials

Latourte, Félix; Chrysochoos, André; Pagano, Stéphane; Wattrisse, Bertrand

doi:10.1007/s11340-007-9088-y

Cited by 70 publications

(59 citation statements)

References 10 publications

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“…A first reason is related to the measurement uncertainties and biases that are usually higher than those typically encountered in 2D analyses [23,24]. Second, the computational environment needed to solve these inverse problems is generally very intrusive (e.g., constitutive equation gap method [25][26][27], virtual fields method for nonlinear constitutive laws [28], equilibrium gap method [29]). Third, nonlinear constitutive equations require spatiotemporal (i.e., 4D) analyses to be considered, which are both experimentally and computationally very demanding.…”

Section: Introductionmentioning

confidence: 99%

Toward 4D mechanical correlation

Hild

Bouterf

Chamoin

et al. 2016

Adv. Model. and Simul. in Eng. Sci.

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Background: The goal of the present study is to illustrate the full integration of sensor and imaging data into numerical procedures for the purpose of identification of constitutive laws and their validation. The feasibility of such approaches is proven in the context of in situ tests monitored by tomography. The bridging tool consists of spatiotemporal (i.e., 4D) analyses with dedicated (integrated) correlation algorithms. Methods: A tensile test on nodular graphite cast iron sample is performed within a lab tomograph. The reconstructed volumes are registered via integrated digital volume correlation (DVC) that incorporates a finite element modeling of the test, thereby performing a mechanical integration in 4D registration of a series of 3D images. In the present case a non-intrusive procedure is developed in which the 4D sensitivity fields are obtained with a commercial finite element code, allowing for a large versatility in meshing and incorporation of complex constitutive laws. Convergence studies can thus be performed in which the quality of the discretization is controlled both for the simulation and the registration. Results: Incremental DVC analyses are carried out with the scans acquired during the in situ mechanical test. For DVC, the mesh size results from a compromise between measurement uncertainties and its spatial resolution. Conversely, a numerically good mesh may reveal too fine for the considered material microstructure. With the integrated framework proposed herein, 4D registrations can be performed and missing boundary conditions of the reference state as well as mechanical parameters of an elastoplastic constitutive law are determined in fair condition both for DVC and simulation.

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Section: Introductionmentioning

confidence: 99%

Toward 4D mechanical correlation

Hild

Bouterf

Chamoin

et al. 2016

Adv. Model. and Simul. in Eng. Sci.

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“…Method of digital image correlation (DIC) is a modern optical method used frequently for analysis strains on the surface of objects [5], [9]. In the case of classical image correlation the deformations of object are determined by CCD camera.…”

Section: C) Methods Of Digital Image Correlationmentioning

confidence: 99%

“…Relative direction was direction of rolling. With respect to observed range of plastic deformations was considered coefficient of normal anisotropy r (5) evaluated for 5% plastic deformation. From the measured stress-strain dependences were for given material determined points of yield curves for chosen magnitudes of plastic strains.…”

Section: Fig 6 Principle Of 3d Pattern Correlation With Two Camerasmentioning

confidence: 99%

Some Possibilities of Determination of Yield Conditions for Cold Rolled Steel Sheets

Šimčák¹,

Berinštet²,

Štamborská³

2010

Acta Mechanica Slov.

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4 monographs, 8 university textbooks, 6 university notebooks and more than 200 publications in journals and conference proceedings at Slovakia and abroad. He has been worked on many grant projects, research tasks and projects for industry. KEY WORDS ABSTRACTRolling of metallic materials results to anisotropy of their mechanical properties during plastic deformation. In the paper are described some possibilities of analytical and experimental determination of conditions for plastic deformation of cold rolled steel sheets. The experimental analysis is realized by biaxial tensile test with application of strain gage and optical methods. The results gained by experimental procedures are compared with yield conditions according to individual theories. INTRODUCTIONClassical semifinished products that are used for production of thin-walled supporting systems are steel sheets. In order to increase competitiveness of steel there were recently provided massive innovations in the area of new qualities of steel sheets. Increasing of loading capacity and decreasing of structural weight is possible by using of steel sheets with smaller thickness made of materials with higher strength properties. Because the thin-walled elements are often produced by cold forming, there is an effort here, beside of reaching higher strength properties, to preserve (or increase) their plastic properties [7]. Identification of beginning of plastic deformation for plane stress state of sheets is important for modeling of cold forming processes as well as for assessment of loading capacity of thin-walled supporting structural elements. The conditions under which the material yields (beginning of plastic deformation) are called initial yield conditions. In case of material hardening during its plastic deformation we call these current yield conditions. Because the cold rolling of steel sheets changes random arrangement of crystals Fratišek Šimčák (SK)

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“…In this work, we extend and adapt the approach developed in [24] to identify the constitutive laws and their mechanical parameters for heterogeneous materials. Since the method proposed in [24] is based on Airy functions, the approach is limited to simple geometries and regular meshes.…”

Section: Introductionmentioning

confidence: 99%

Enhanced features of a constitutive equation gap identification method for heterogeneous elastoplastic behaviours

Madani

Monerie

Pagano

et al. 2017

Adv. Model. and Simul. in Eng. Sci.

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To identify mechanical properties in heterogeneous materials, the local stress fields have to be estimated. The recent developments in imaging techniques allow reaching precise and spatially dense kinematic fields (e.g. displacement, strain ...). In this paper, an iterative procedure is used to identify the distribution of elastoplastic material parameters and the local stress fields. The formulation and the principle of the method are briefly presented while attention is paid to check its reliability and efficiency on finite element simulation data as reference full-field measurements. The method is also applied to noisy measured displacement fields to assess its robustness.

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Elastoplastic Behavior Identification for Heterogeneous Loadings and Materials

Cited by 70 publications

References 10 publications

Toward 4D mechanical correlation

Toward 4D mechanical correlation

Some Possibilities of Determination of Yield Conditions for Cold Rolled Steel Sheets

Enhanced features of a constitutive equation gap identification method for heterogeneous elastoplastic behaviours

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