Curing Induced Residual Stresses in Adhesive Joints

Automotive-grade structural adhesives are heat-cured epoxy-based thermosets. The heat curing process poses a critical problem pertaining to the differences in the coefficient of thermal expansion (CTE) of the joined materials; the mismatch of which has significant implications on the integrity and response of the BIW to external loading (mainly thermal).

One of the main challenges in the joining of multi-material components is the assessment of the nature and magnitude of the residual stresses developing in the adhesive bond during the heat curing manufacturing process. Numerical modeling of these residual stresses can provide insights for making informed decisions related to (i) material substrate properties; (ii) adhesive properties i.e. low, medium, or high stiffness; (iii) bondline geometry i.e. bondline width and bead thickness; (iv) curing cycle characteristics; and (v) fixation design i.e. type, spacing, the number of joints and much more.

There is a need for reliable experimental techqniques and robust mathematical models to comprehensively capture the effects of CTE mismatch in adhesive bonded joints.

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Research Outline

This work presents a suite of characterization methods and a cure history-dependent viscoelastic-plastic material description for the modeling of adhesive bonded joints. The main highlight of the work is the multi-physics modeling package consisting of a curing kinetics model, a cure-dependent viscoelastic model, and a temperature, strain-rate dependent plastic model formulation which can be coded in any finite element solver. The modeling approach can predict the residual stresses in the adhesive bond due to the accumulated viscoelastic as well as plastic strains occurring during the heat curing process. This study was performed at Clemson University (CU-ICAR) and was sponsored by Henkel Corporation North America.

The research task was divided into three groups of activities, published in the International Journal of Adhesion and Adhesives in a series of research articles and my Doctoral Dissertation at Clemson University.

  • 1
    Advanced Characterization Techniques

    Experimental Methods to capture the effect of CTE mismatch in the material substrates on the adhesive bonded joints

  • 2
    Mathematical Modeling Package

    Development and calibration of cure-history dependent viscoelastic-plastic material description for adhesives

  • 3
    User-defined material subroutine (UMAT) for adhesives

    Development of a UMAT in LS-DYNA for the adhesive and its experimental validation at coupon level and component level.

Publication 1: Experimental methods to capture curing induced effects in adhesive bonded joints

Agha, Akshat, and Fadi Abu-Farha. "Experimental methods to capture curing induced effects in adhesive bonded joints." International Journal of Adhesion and Adhesives 104 (2021): 102735. https://doi.org/10.1016/j.ijadhadh.2020.102735 | Download PDF

Article Highlights

  • Innovative experiment to characterize the thermal effects of the heat curing process on a multi-material single lap shear joint using digital image correlation and advanced sensors. This test can be used for adhesive screening and experimental validation of FE models.
  • Compares the performance of residual stress-induced joints against stress-free joints under tension loading at different strain rates (0.005/s, 0.5/s and 50/s)
  • DIC generated videos of the adhesive heat curing process providing insights into the phenomenon occurring during the thermal movement of substrates.

Publication 2: Viscoelastic model to capture residual stresses in heat cured dissimilar adhesive bonded joints

Agha, Akshat, and Fadi Abu-Farha. "Viscoelastic model to capture residual stresses in heat cured dissimilar adhesive bonded joints." International Journal of Adhesion and Adhesives 107 (2021): 102844. https://doi.org/10.1016/j.ijadhadh.2021.102844 | Download PDF

Article Highlights

  • Curing Kinetics Model to calculate the degree of cure for Henkel Teroson EP5089 using DSC results | Download DSC Data
  • Viscoelastic model to capture the cure level and temperature dependent viscoelastic properties using DMA results | Download DMA Data
  • Detailed calibration procedure and FE implementation of mathematical models in LS-DYNA
  • Experimental validation of FE simulations using multi-material lap shear joints
FE Simulation Lap Shear Joint

Publication 3: Numerical Implementation and Validation of a Viscoelastic-Plastic Material Model for Predicting Curing Induced Residual Stresses in Adhesive Bonded Joints

Agha, Akshat, and Fadi Abu-Farha. "Numerical Implementation and Validation of a Viscoelastic-Plastic Material Model for Predicting Curing Induced Residual Stresses in Adhesive Bonded Joints." International Journal of Adhesion and Adhesives (2022): 103195. https://doi.org/10.1016/j.ijadhadh.2022.103195 | Download PDF

Article Highlights

  • Determination of temperature and strain rate dependent viscoelastic-plastic nature of adhesive using high-temperature uniaxial tension tests | Download Data
  • Cure history dependent viscoelastic-plastic material model and its calibration for Henkel Teroson EP5089
  • Mathematical formulation for coding the material models in any FE solver
  • UMAT coding for LS-DYNA in fortran (code available upon request)
  • FE simulations and experimental validation at component level on a subsized automotive roof structure
UMAT Adhesive
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