Abstract It is obvious that the mechanical properties of arterial tissue include compressibility, anisotropy, and the fact that the out-of-plane shear modulus is smaller than the shear modulus in the plane of the fibers. However, the last point is rarely considered when it comes to compressible anisotropic hyperelastic models. In order to acquire different shear moduli, we propose a modified hyperelastic model including the influence of strain invariants and The convergence and correctness of this model are verified through the hydrostatic tension test, uniaxial tension test, and shear deformation test. It turns out that our model correctly predicts an anisotropic response and volume change to hydrostatic tensile test and the fact that the out-of-plane shear modulus is always smaller than the shear modulus in the plane of the fibers in shear deformation test. We conclude that the influence of strain invariants and is great, especially in the shear deformation, so that it is necessary to include and in the compressible anisotropic hyperelastic model.

中文翻译：

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具有 I 5 和 I 7 应变不变量的可压缩各向异性超弹性模型

摘要 显然，动脉组织的力学性能包括可压缩性、各向异性以及平面外剪切模量小于纤维平面内剪切模量的事实。然而，当涉及可压缩的各向异性超弹性模型时，很少考虑最后一点。为了获得不同的剪切模量，我们提出了一种修正的超弹性模型，包括应变不变量的影响，并通过静水拉伸试验、单轴拉伸试验和剪切变形试验验证了该模型的收敛性和正确性。结果表明，我们的模型正确预测了静水拉伸试验的各向异性响应和体积变化，并且在剪切变形试验中，平面外剪切模量始终小于纤维平面内的剪切模量。我们得出结论，应变不变量 和 的影响很大，特别是在剪切变形中，因此有必要将 和 包括在可压缩的各向异性超弹性模型中。