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January 16, 2026Journal of Electronic Packaging0 citations

Cohesive Zone Modeling of the PI/Si Interface in 2.5D Packaging by Nanoindentation Testing

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PRPan RenMLMin LiYLYaya Liang

Key Points

  • The aim is to calibrate cohesive zone model parameters for the PI/Si interface using nanoindentation testing.
  • Utilized nanoindentation testing to assess interfacial shear deformation.
  • Designed specimens to induce controlled deformation during testing.
  • Measured displacement-load curves to extract cohesive zone model parameters.
  • Applied finite element simulations with ABAQUS to validate experimental results.
  • Extracted parameters include initial stiffness K0 = 3.6e14 Pa/m, maximum shear strength τmax = 113 MPa, and critical separation displacement δf = 4.2 μm.
  • The simulation confirmed the accuracy of the method for characterizing PI/Si interfacial behavior.
  • Calibrated parameters improved the match between simulation and experimental results.

Abstract

Abstract The polyimide (PI)/silicon (Si) is a critical interface in 2.5D packaging and is highly susceptible to failure due to thermal and mechanical loads. The large thermal expansion mismatch that exists between these two materials poses a challenge for interfacial modeling and reliability predictions. This study presents a method for extracting and calibrating the cohesive zone model (CZM) parameters of the PI/Si interface by nanoindentation testing. Specimens were designed and fabricated to induce interfacial shear deformation during indentation, and the displacement?load (D-L) curves were measured to derive the preliminary CZM parameters. Under the assumption of a bilinear traction?separation law, the key parameters?initial stiffness K0, maximum shear strength tmax, and critical separation displacement δf- were extracted. The finite element simulations were then performed using ABAQUS to reproduce the experimental D?L response, df and tmax were further calibrated to improve the agreement between simulation and experiment. The final identified CZM parameters are: K0 = 3.6e14 Pa/m, τmax = 113 MPa, and δf= 4.2 μm. The simulation results demonstrate that the proposed method enables an accurate characterization of PI/Si interfacial behavior and is able to provide a reliable parameter set for future interfacial fracture simulations.

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Cite This Study

Ren et al. (2026) studied this question.

synapsesocial.com/papers/6969d518940543b977709ffahttps://doi.org/10.1115/1.4070886
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