On the identifiability of Hill‐1948 plasticity model with a single biaxial test on very thin sheet

Abstract

One biaxial experiment is performed on an ultra-thin specimen made of 17-7 precipitation hardened stainless steel.An anti-wrinkling setup allows for the characterization of the mechanical behavior with Integrated Digital Image Correlation (IDIC). A sensitivity analysis assesses the amount of data available but reveals a discrepancy between observation and model that is interpreted as the occurrence of wrinkling in a confined boundary layer. From this observation, the identification is performed on a refined region of interest where reliable data are accessible. The calibration of parameters of various constitutive equations is performed. In particular, the identifiability of the so-called Hill-1948 model is analyzed.

Experimental Validation of the Sensitivity-Based Virtual Fields for Identification of Anisotropic Plasticity Models

“…When these parameters were used to predict the responses of DN-30-1 and DN-60-1 a large discrepancy was found with UDVFs, indicating poor identification of anisotropy by UDVFs. On the contrary, the parameters derived from the same test, but using SBVFs, lead to a much better prediction of the experimentally measured force-displacement curves indicating that a single test performed along 45 • is sufficient to identify the material plastic anisotropy with the Hill48 model, which confirms the results obtained in [27].…”

“…Recently a new technique emerged, called integrated digital image correlation (IDIC) which in essence combines the steps of DIC and FEMU into a single procedure to improve their metrological performance. It was applied to identification of plastic parameters by Ruybalid et al [25], Mathieu et al [26] and Bertin et al [27,28].…”

“…They measured displacements using a discrete number of trackers, and compared them with a numerical model to fit the parameters. Since then, many approaches have been adopted to characterise Hill48 [14,15,[27][28][29][38][39][40][41][42][43], the Ferron model [44], Yld96 [38], Bron and Besson model [42,43] and Yld2000-2D [11,15]. They included a mixture of tensile tests performed on specimens including geometric features such as holes or notches and non-standard biaxial tests leading to a heterogeneous state of stress.…”

Calibration of Advanced Yield Criteria Using Uniaxial and Heterogeneous Tensile Test Data

“…In this study, a method used by Lecompte et al [45,46] or Bertin et al [47,48] is upgraded to evaluate how much the response of the heterogeneous strain specimen is sensitive to the sought parameters. In particular, the objective is to determine the sensitivity of principal strains ε 1 and ε 2 to variations in parameters Y B and R B .…”

Numerical simulation of non-standard tensile tests of thin metal foils

“…On the other side, wrinkling phenomena are frequently observed in wide samples and affect the interpretation of the experimental output [10][11][12][13]. These disturbances can be detected by three-dimensional digital correlation techniques [14,15] and potentially reproduced by finite element analysis.…”