A compressible anisotropic hyperelastic model with I5 and I7 strain invariants. Issue 16 (9th December 2020)

• Record Type: Journal Article
• Authors: Wang, MN; Liu, FJ
• Is Part Of: Computer methods in biomechanics and biomedical engineering. Volume 23:Issue 16(2020)
• Page Start: 1277
• Page End: 1286
• Publication Date: 2020-12-09
• Subjects: Compressibility -- anisotropy -- hyperelastic model -- finite element mothed; Biomechanics -- Data processing -- Periodicals; Biomedical engineering -- Periodicals; Biomechanics -- Periodicals; Biomedical Engineering -- methods -- Periodicals; Computing Methodologies -- Periodicals; 612.7
• DOI: 10.1080/10255842.2020.1795839
• Languages: English
• ISSNs: 1025-5842

Abstract

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 I 5 and I 7 . 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 I 5 and I 7 is great, especially in the shear deformation, so that it is necessary to include I 5 and I 7 in the compressible anisotropic hyperelastic model.