A complex-variable cohesive finite element subroutine to enable efficient determination of interfacial cohesive material parameters

A new complex-variable version of a cohesive element is presented that provides highly accurate first order derivatives of the nodal displacements with respect to the cohesive fracture parameters. These sensitivities are provided as a byproduct of the analysis using the complex Taylor series expansi...

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Bibliographic Details
Published in:Engineering fracture mechanics Vol. 247; no. C; p. 107638
Main Authors: Ramirez-Tamayo, Daniel, Soulami, Ayoub, Gupta, Varun, Restrepo, David, Montoya, Arturo, Millwater, Harry
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 15.04.2021
Elsevier BV
Elsevier
Subjects:
Automatic differentiation
Cohesion
Complex Taylor series expansion
Complex variables
Complex-variable finite element method
Finite element method
Inverse determination of material parameters
Parameter sensitivity
Series expansion
Source code
Taylor series
UEL
User elements
Complex Taylor series expansion
Complex-variable finite element method
Inverse determination of material parameters
UEL
Automatic differentiation
ISSN:0013-7944, 1873-7315
Online Access:Get full text
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Summary:A new complex-variable version of a cohesive element is presented that provides highly accurate first order derivatives of the nodal displacements with respect to the cohesive fracture parameters. These sensitivities are provided as a byproduct of the analysis using the complex Taylor series expansion method. This information is useful for inversely determining the cohesive fracture parameters from experimental or synthetic data using a finite element-based approach. In particular, the PPR cohesive element (Park et al., 2009), was extended using complex variables as a user element for the well-known commercial finite element program, Abaqus. The source code for the element is provided as an educational resource. The advantage of having accurate first order derivatives on both accuracy and efficiency is demonstrated through numerical examples. •A complex-variable cohesive element for the computation of sensitivities is presented.•The sensitivities are obtained along with the traditional finite element results.•Highly accurate-step size independent derivatives are obtained using the CTSE method.•Source code for the Abaqus complex-valued UEL is provided for educational purposes.•The sensitivities are used to determine the interfacial properties of a joint.
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content type line 14
USDOE
AC05-76RL01830
PNNL-SA-156440
ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2021.107638