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This study investigates the energy-release rates and crack-opening displacements in thin barrier coatings on polymer substrates under tensile loading. A finite-element simulation method is developed to predict these parameters, which are crucial for understanding the fracture toughness and barrier properties of coatings like TiO2 and TiO2-Al2O3. The findings indicate that accounting for the non-linear stress-strain behavior of the polymer substrate is essential for accurate predictions, particularly for coa

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