ArticleJournal of the mechanical behavior of biomedical materials2016
On the accuracy and fitting of transversely isotropic material models.
Article in Journal of the mechanical behavior of biomedical materials, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Mechanical characterization of human umbilical and chorionic plate arteries affected by fetal growth restriction.PNAS nexus · 2026Article
- Transversely isotropic hyperelastic laws for 2D FEM modeling of human thoracic spine ligaments.Scientific reports · 2025Article
- Systematic analysis of constitutive models of brain tissue materials based on compression tests.Heliyon · 2024Article
- An Inverse Modeling Approach to Estimate Three-Dimensional Aortic Valve Interstitial Cell Stress Fiber Force Levels.Journal of biomechanical engineering · 2023Article
- Decoupling Uniaxial Tensile Prestress and Waveguide Effects From Estimates of the Complex Shear Modulus in a Cylindrical Structure Using Transverse-Polarized Dynamic Elastography.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- Biaxial Tensile Prestress and Waveguide Effects on Estimates of the Complex Shear Modulus Using Optical-Based Dynamic Elastography in Plate-Like Soft Tissue Phantoms.Journal of engineering and science in medical diagnostics and therapy · 2023Article
- The combined importance of finite dimensions, anisotropy, and pre-stress in acoustoelastography.The Journal of the Acoustical Society of America · 2022Review
- Magneto-Mechanical Enhancement of Elastic Moduli in Magnetoactive Elastomers with Anisotropic Microstructures.Materials (Basel, Switzerland) · 2022Article
- Region-dependent mechanical characterization of porcine thoracic aorta with a one-to-many correspondence method to create virtual datasets using uniaxial tensile tests.Frontiers in bioengineering and biotechnology · 2022Article
- Field-Induced Transversely Isotropic Shear Response of Ellipsoidal Magnetoactive Elastomers.Materials (Basel, Switzerland) · 2021Article
- Functional Grading of a Transversely Isotropic Hyperelastic Model with Applications in Modeling Tricuspid and Mitral Valve Transition Regions.International journal of molecular sciences · 2020Article
- A computational study of invariant IJournal of biomechanics · 2017Article
- Characterizing white matter tissue in large strain via asymmetric indentation and inverse finite element modeling.Journal of the mechanical behavior of biomedical materials · 2017Article
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4 authors.
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Abstract
Fiber reinforced structures are central to the form and function of biological tissues. Hyperelastic, transversely isotropic material models are used widely in the modeling and simulation of such tissues. Many of the most widely used models involve strain energy functions that include one or both pseudo-invariants (I4 or I5) to incorporate energy stored in the fibers. In a previous study we showed that both of these invariants must be included in the strain energy function if the material model is to reduce correctly to the well-known framework of transversely isotropic linear elasticity in the limit of small deformations. Even with such a model, fitting of parameters is a challenge. Here, by evaluating the relative roles of I4 and I5 in the responses to simple loadings, we identify loading scenarios in which previous models accounting for only one of these invariants can be expected to provide accurate estimation of material response, and identify mechanical tests that have special utility for fitting of transversely isotropic constitutive models. Results provide guidance for fitting of transversely isotropic constitutive models and for interpretation of the predictions of these models.
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