Double Interpolation to Achieve Linear Strain Path for AISI 1008 Steel Cruciform Specimen
Jordan Hoffman, Jinjin Ha, Brad Kinsey, Mark Iadicola, Dilip K. Banerjee
The automotive industry relies heavily on sheet metal forming processes for many components. Material data solely from uniaxial testing is insufficient to fully define the material behavior of the complex plastic deformation during numerical simulations of the forming processes. In-plane biaxial testing using a cruciform type specimen is a more comprehensive representation than the traditional uniaxial testing alone. Wide ranging biaxial stress states can be imposed by applying different loading conditions on each cruciform axis. However, this can create a challenge to achieve desired deformation paths due to the non-linear relationship between the control parameter, e.g., displacement, and the output of interest, e.g., strain path. In this paper, an interpolation method to develop the displacement control that produces a linear strain path with a desired strain ratio is revisited and expanded upon from the authors' previous work [1,2]. In the first iteration, linear biaxial displacements were applied to the specimen and the corresponding strain paths were obtained from the numerical simulations. The non-linear strain paths, due to geometry effects of the specimen, were used to reverse engineer a new displacement path that results in a linear strain path. Interpolation is revisited to show increased success with a second iteration. Analysis of the simulation results shows that linear strain paths of a given model can be determined and improved by successive iterations of interpolating the strain data from adjacent deformation paths.  Hoffman, J., Banerjee, D., Iadicola, M., "Determination of Strain Path Envelope in an Optimized Biaxial Cruciform Specimen of AISI 1008 Steel under Linear, Bilinear, and Nonlinear Strain Paths", The Materials Society Conference 2022  Banerjee, Dilip, Mark Iadicola, Adam Creuziger, and Timothy Foecke. "An experimental and numerical study of deformation behavior of steels in biaxial tensile tests." In TMS 2015 144th Annual Meeting & Exhibition, pp. 279-288. Springer, Cham, 2015
Proceedings of the ASME 2022 17th International Manufacturing Science and Engineering Conference, MSEC2022
June 27-July 1, 2022
West Lafayette, IN, US
17th International Manufacturing Science and Engineering Conference
, Ha, J.
, Kinsey, B.
, Iadicola, M.
and Banerjee, D.
Double Interpolation to Achieve Linear Strain Path for AISI 1008 Steel Cruciform Specimen, Proceedings of the ASME 2022 17th International Manufacturing Science and Engineering Conference, MSEC2022
, West Lafayette, IN, US, [online], https://doi.org/10.1115/MSEC2022-85595, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=934404
(Accessed June 7, 2023)