<p>In the inflation problem of a circular membrane, the deformation near the pole is approximately equibiaxial and spherical, thereby forming the basis for simulating “equibiaxial tension.” However, this approximation is not exact, and some relative deviation is inevitable. Therefore, a theoretical study is conducted by formulating the inflation deformation problem, and its accuracy is verified through finite element simulations. Based on the theoretical predictions, the feasibility of formulating “equibiaxial tension” is investigated through error analysis of the deformation at the pole. This analysis offers theoretical support for successfully conducting the “equibiaxial tension” experiment. Additionally, the GG model is recognized as modified Gent model due to its limitations in describing material constitutive behavior for intermediate stretch values. Further evidence of the GG model’s effective performance in describing the complex boundary value problems is obtained by studying the inflation deformation of a plane membrane.</p>

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“Equibiaxial tension” based on the inflation of plane membrane using the improved Gent model

  • Bin Fu,
  • Yanru Wang,
  • Lei Zhou,
  • Zehui Lin,
  • Lulu Zhao

摘要

In the inflation problem of a circular membrane, the deformation near the pole is approximately equibiaxial and spherical, thereby forming the basis for simulating “equibiaxial tension.” However, this approximation is not exact, and some relative deviation is inevitable. Therefore, a theoretical study is conducted by formulating the inflation deformation problem, and its accuracy is verified through finite element simulations. Based on the theoretical predictions, the feasibility of formulating “equibiaxial tension” is investigated through error analysis of the deformation at the pole. This analysis offers theoretical support for successfully conducting the “equibiaxial tension” experiment. Additionally, the GG model is recognized as modified Gent model due to its limitations in describing material constitutive behavior for intermediate stretch values. Further evidence of the GG model’s effective performance in describing the complex boundary value problems is obtained by studying the inflation deformation of a plane membrane.