Recent advances in constitutive modeling demonstrates the potential of data-driven approaches to overcome traditional limitations in constitutive modeling. This chapter explores a unified, flexible data-driven framework for isotropic and anisotropic hyperelasticity that can be applied to a wide range of materials such as rubberlike materials, soft biological tissues, and compressible polymeric foams. The isotropic formulation leverages B-spline interpolations to directly integrate experimental data into the derivatives of strain energy density functions, ensuring stability and polyconvexity. Extending this framework, anisotropic hyperelasticity incorporates fiber dispersion models to accurately represent the mechanical behavior of soft biological tissues, such as myocardium and aortic tissues, under complex loading conditions. In addition, the chapter discusses compressible hyperelasticity for polymeric foams, where a modified invariant-based approach enables precise modeling of their non-linear volumetric and shear responses. Across these formulations, the integration of experimental data into finite element analysis ensures robust validation through benchmark problems, highlighting the versatility and accuracy of data-driven constitutive modeling. This unified perspective demonstrates the transformative potential of these methodologies in the handling of diverse material classes, with applications spanning biomedical engineering and complex materials design.

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Data-Driven Constitutive Approaches to Hyperelastic Materials

  • Hüsnü Dal,
  • Alp Kağan Açan

摘要

Recent advances in constitutive modeling demonstrates the potential of data-driven approaches to overcome traditional limitations in constitutive modeling. This chapter explores a unified, flexible data-driven framework for isotropic and anisotropic hyperelasticity that can be applied to a wide range of materials such as rubberlike materials, soft biological tissues, and compressible polymeric foams. The isotropic formulation leverages B-spline interpolations to directly integrate experimental data into the derivatives of strain energy density functions, ensuring stability and polyconvexity. Extending this framework, anisotropic hyperelasticity incorporates fiber dispersion models to accurately represent the mechanical behavior of soft biological tissues, such as myocardium and aortic tissues, under complex loading conditions. In addition, the chapter discusses compressible hyperelasticity for polymeric foams, where a modified invariant-based approach enables precise modeling of their non-linear volumetric and shear responses. Across these formulations, the integration of experimental data into finite element analysis ensures robust validation through benchmark problems, highlighting the versatility and accuracy of data-driven constitutive modeling. This unified perspective demonstrates the transformative potential of these methodologies in the handling of diverse material classes, with applications spanning biomedical engineering and complex materials design.