ArticleJournal of biomechanics2014
Continuum description of the Poisson's ratio of ligament and tendon under finite deformation.
Article in Journal of biomechanics, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed.
- Collagen-elastin microstructural network and its mechanical implications in the anterior cruciate ligament: A feasibility study.Journal of orthopaedic surgery and research · 2026Article
- Novel Insights Into the Intratendinous Pressure Behavior of the Achilles Tendon in Athletes.Sports health · 2025Observational
- Modeling Fatigue Failure of Cartilage and Fibrous Biological Tissues Using Constrained Reactive Mixture Theory.Journal of biomechanical engineering · 2024Article
- Elevated fluid and glycosaminoglycan content in the Achilles tendon contribute to higher intratendinous pressures: Implications for Achilles tendinopathy.Journal of sport and health science · 2024Article
- Systematic analysis of constitutive models of brain tissue materials based on compression tests.Heliyon · 2024Article
- Exploring the role of intratendinous pressure in the pathogenesis of tendon pathology: a narrative review and conceptual framework.British journal of sports medicine · 2023Review
- Volume Loss and Recovery in Bovine Knee Meniscus Loaded in Circumferential Tension.Journal of biomechanical engineering · 2023Article
- Time-dependent extracellular matrix alterations of young tendons in response to stress relaxation: a model for the Ponseti method.Journal of the Royal Society, Interface · 2023Article
- Influence of walking on knee ligament response in car-to-pedestrian collisions.Frontiers in bioengineering and biotechnology · 2023Article
- Effect of collagen fibre orientation on the Poisson's ratio and stress relaxation of skin: anRoyal Society open science · 2022Article
- Identifiability of tissue material parameters from uniaxial tests using multi-start optimization.Acta biomaterialia · 2021Article
- Evaluation of transverse poroelastic mechanics of tendon using osmotic loading and biphasic mixture finite element modeling.Journal of biomechanics · 2020Article
- Accumulation of collagen molecular unfolding is the mechanism of cyclic fatigue damage and failure in collagenous tissues.Science advances · 2020Article
- Contributions of elastic fibers, collagen, and extracellular matrix to the multiaxial mechanics of ligament.Journal of the mechanical behavior of biomedical materials · 2019Article
- Strong triaxial coupling and anomalous Poisson effect in collagen networks.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Exploiting Viscoelastic Experimental Observations and Numerical Simulations to Infer Biomimetic Artificial Tendon Fiber Designs.Frontiers in bioengineering and biotechnology · 2019Article
- A computational study of invariant IJournal of biomechanics · 2017Article
- Discrete quasi-linear viscoelastic damping analysis of connective tissues, and the biomechanics of stretching.Journal of the mechanical behavior of biomedical materials · 2017Article
- Molecular level detection and localization of mechanical damage in collagen enabled by collagen hybridizing peptides.Nature communications · 2017Article
- On the accuracy and fitting of transversely isotropic material models.Journal of the mechanical behavior of biomedical materials · 2016Article
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Authors and funding
5 authors.
Funding
Abstract
Ligaments and tendons undergo volume loss when stretched along the primary fiber axis, which is evident by the large, strain-dependent Poisson's ratios measured during quasi-static tensile tests. Continuum constitutive models that have been used to describe ligament material behavior generally assume incompressibility, which does not reflect the volumetric material behavior seen experimentally. We developed a strain energy equation that describes large, strain dependent Poisson's ratios and nonlinear, transversely isotropic behavior using a novel method to numerically enforce the desired volumetric behavior. The Cauchy stress and spatial elasticity tensors for this strain energy equation were derived and implemented in the FEBio finite element software (www.febio.org). As part of this objective, we derived the Cauchy stress and spatial elasticity tensors for a compressible transversely isotropic material, which to our knowledge have not appeared previously in the literature. Elastic simulations demonstrated that the model predicted the nonlinear, upwardly concave uniaxial stress-strain behavior while also predicting a strain-dependent Poisson's ratio. Biphasic simulations of stress relaxation predicted a large outward fluid flux and substantial relaxation of the peak stress. Thus, the results of this study demonstrate that the viscoelastic behavior of ligaments and tendons can be predicted by modeling fluid movement when combined with a large Poisson's ratio. Further, the constitutive framework provides the means for accurate simulations of ligament volumetric material behavior without the need to resort to micromechanical or homogenization methods, thus facilitating its use in large scale, whole joint models.
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