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Fig 1.

The schematic of the problem.

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Fig 2.

Mathematical modeling process for contact adhesion layer properties.

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Fig 3.

Upper: Finite element models with varying mesh sizes (a. 0.4 mm, b. 0.1 mm, c. 0.05 mm) and Mises stress distribution. Bottom: Showing the relationship between mesh size and Mises stress distribution across six case studies.

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Fig 4.

Quantifying the effect of Young’s modulus ratio on force-penetration profiles: Adhesive layer thickness maintained at 2 mm, wavelength fixed at 2.

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Fig 5.

Exploring the influence of adhesive layer thickness on force-penetration behavior: Consistent wavelength of 0.5 and Young’s modulus ratio fixed at 5/1.

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Fig 5 Expand

Fig 6.

Quantifying the effect of Young’s modulus ratio on contact pressure-displacement profiles: Adhesive layer thickness maintained at 2 mm, wavelength fixed at 2.

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Fig 7.

Exploring the influence of adhesive layer thickness on contact pressure-displacement behavior: Consistent wavelength of 0.5 and Young’s modulus ratio fixed at 5/1.

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Fig 7 Expand

Fig 8.

Quantifying the effect of Young’s modulus ratio on contact area- applied force profiles: Adhesive layer thickness maintained at 2 mm, wavelength fixed at 2.

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Fig 8 Expand

Fig 9.

Exploring the influence of adhesive layer thickness on contact area- applied force behavior: Consistent wavelength of 0.5 and Young’s modulus ratio fixed at 5/1.

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Fig 9 Expand

Fig 10.

Quantifying the influence of Young’s modulus ratio and adhesive layer thickness on force-contact area.

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Fig 10 Expand