A complex-variable finite element method-based inverse methodology to extract constitutive parameters using experimental data

This paper presents the use of full-field kinematic measurements obtained using the digital image correlation (DIC) procedure and load–displacement data to determine constitutive material properties by solving an inverse finite element optimization problem. A key ingredient in the proposed approach...

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Bibliographic Details
Published in:International journal of solids and structures Vol. 243; no. C; p. 111545
Main Authors: Ramirez-Tamayo, Daniel, Soulami, Ayoub, Gupta, Varun, Restrepo, David, Montoya, Arturo, Nickerson, Ethan, Roosendaal, Timothy, Simmons, Kevin, Petrossian, Gayaneh, Millwater, Harry
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 15.05.2022
Elsevier BV
Elsevier
Subjects:
Abaqus
Automatic differentiation
Cantilever beams
Complex-variable finite element method
Digital imaging
Displacement
Elastic properties
Finite element analysis
Finite element method
Interfacial properties
Inverse methods
Material properties
Optimization
Parameter sensitivity
Strain
Surface tension
Tensile tests
UEL
Complex-variable finite element method
Abaqus
Inverse methods
UEL
Automatic differentiation
ISSN:0020-7683, 1879-2146
Online Access:Get full text
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Summary:This paper presents the use of full-field kinematic measurements obtained using the digital image correlation (DIC) procedure and load–displacement data to determine constitutive material properties by solving an inverse finite element optimization problem. A key ingredient in the proposed approach is computing accurate sensitivities with respect to the unknown parameters. These sensitivities were used to solve the optimization problem using an accurate, efficient, gradient-based method, and were computed using the complex-variable finite element method, ZFEM. The use of ZFEM’s gradients to inversely determine material properties is demonstrated with two examples. First, the elastic–plastic material properties of DP-590 steel are obtained using a tensile test specimen. Second, the cohesive material parameters of an adhesive are determined using a double cantilever beam test. A significant outcome of this paper is that the use of a weighted residual formulation of the interfacial strain fields and the load–displacement data within the optimization procedure provides better estimates of the constitutive properties than using only the load–displacement data. This technique minimizes the relative error in both the strain fields and the load–displacement curve, which is important to obtain accurate interfacial properties.
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content type line 14
AC05-76RL01830
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2022.111545