Viscoelastic shear lag model to predict the micromechanical behavior of tendon under dynamic tensile loading

Wu, Jiayu; Yuan, Hong; Li, Long-yuan; Fan, Kunjie; Qian, Shanguang; Li, Bing

doi:10.1016/j.jtbi.2017.10.018

Cited by 19 publications

(11 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, the vulnerable axon can achieve high stiffness and toughness, protecting itself from overall damage. In our previous study [65], we have explained that the fundamental load-carrying elements of regularly staggered biocomposite structures are discontinuous fibers, instead of continuous long fibers along the entire tissue. The discontinuous fibers are more capable to protect themselves from overall damage.…”

Section: Discussionmentioning

confidence: 98%

Mathematical modelling of microtubule-tau protein transients: Insights into the superior mechanical behavior of axon

Yuan

et al. 2019

Applied Mathematical Modelling

Self Cite

View full text Add to dashboard Cite

Axons with staggered microtubules cross-linked by tau protein possess a remarkable mechanical balance of high specific stiffness and toughness. Owing to their viscoelastic nature, axons exhibit stress rate-dependent mechanical behavior, which is relevant to their selective vulnerability to damage in traumatic brain injury. A Kelvin-Voigt viscoelastic shear lag model is developed to elucidate the mechanical responses of axons under transient tensile force. Analytical closed-form expressions are derived to characterize the relative sliding, stress transfer and failure mechanism between microtubule and tau protein while the axon is stretched transiently. The results from the theoretical solutions elucidate how the MT-tau interface length and stress rate affect the mechanical responses of axon. It is found that axonal failure mechanism may be different under different loading conditions. Long microtubules are more vulnerable to rupture at high stress rate, yet short microtubules are likely to detach from microtubule bundles under large deformations. In the view of multi-level failure of axon, it is illustrated how the vulnerable axons protect themselves from overall damage, and how the axon can simultaneously achieve an outstanding mechanical balance of high specific stiffness and toughness.

show abstract

Section: Discussionmentioning

confidence: 98%

Mathematical modelling of microtubule-tau protein transients: Insights into the superior mechanical behavior of axon

Yuan

et al. 2019

Applied Mathematical Modelling

Self Cite

View full text Add to dashboard Cite

show abstract

“…The mechanical functions of sGAGs could be explained by considering the extracellular matrix of soft tissues as a composite domain, where collagen fibrils are discontinuous reinforcements that require an interfibrillar matrix, formed by sGAGs and their interaction with each other and collagen fibers, to resist external forces [39,40]. In this viewpoint, digestion of sGAGs weakens the matrix component causing a softer tensile mechanical response.…”

Section: Discussionmentioning

confidence: 99%

The contribution of sGAGs to stress-controlled tensile response of posterior porcine sclera

Hatami-Marbini

Pachenari

2020

PLoS ONE

View full text Add to dashboard Cite

Despite the significant progress in characterizing mechanical functions of individual scleral extracellular matrix (ECM) components, the biomechanical contribution of sulfated glycosaminoglycans (sGAGs) is still poorly understood. The primary purpose of this study was to determine the possible function of sGAGs in scleral mechanical response by characterizing the tensile behavior of normal and sGAG-depleted samples. We used chondroitinase ABC solution to remove sGAGs from scleral samples that were dissected from posterior porcine eyes. We performed biochemical analyses for assessing the efficacy of sGAG removal protocol. Furthermore, we conducted stress-controlled uniaxial tensile tests to characterize the influence of sGAG removal on mechanical properties of sclera. The tensile behavior of scleral strips right after dissection and after being soaked in buffer was also determined. Biochemical analyses confirmed that 18 hour incubation in 0.125 U/ml Chondroitinase ABC solution removed over 90% of chondroitin and dermatan sGAGs. No significant difference was observed in the thickness/hydration of samples because of enzyme-and buffer-treated samples. Furthermore, it was found that sGAG depletion did not significantly alter the tangent modulus, energy dissipation, and peak strain of posterior scleral strips. It was concluded that sGAGs did not influence the stress-controlled viscoelastic tensile response of sclera. OPEN ACCESSCitation: Hatami-Marbini H, Pachenari M (2020) The contribution of sGAGs to stress-controlled tensile response of posterior porcine sclera. PLoS ONE 15(2): e0227856. https://doi.org/10.

show abstract

“…In such microstructures, the stiff fiber, with relatively low fracture toughness and low strength-to-modulus ratio, is responsible for carrying a majority of the tensile stress. On the other hand, the compliant crosslinks of matrix, with relatively high ductility and high strength-to-modulus ratio, are inclined to take the comparatively greater part of the shear strain [3,10,11].…”

Section: Research Objectivementioning

confidence: 99%

“…A theoretical solution will be employed to solve δ(x,t), the details of which are given in our previous work [10]. Relative sliding can be derived by solving the nonhomogeneous PDE (Eq.…”

Section: Kelvin Modelmentioning

confidence: 99%

See 1 more Smart Citation

Effect of viscoelasticity on interfacial stress transfer mechanism in the biocomposites: A theoretical study of viscoelastic shear lag model

Yuan

2019

Composites Part B: Engineering

Self Cite

View full text Add to dashboard Cite

Biocomposites with regularly staggered alignment microstructure are frequently observed in natural biological tissues, and exhibit superior mechanical behavior. Owing to their viscoelastic nature, biocomposites exhibit stress rate-dependent stiffness function and mechanical behavior. In this paper, a linear viscoelastic shear lag model (SLM) is proposed to illustrate the micromechanical behavior of biocomposites under triangular loading pulse. Theoretical and numerical results are derived to predict the deformation and stress transfer between fibers and interfibrous matrix while the biocomposites are transiently stretched. The results from the analytical and numerical solutions demonstrate that how the fiber overlap length and loading rate affect the stress transfer and mechanical properties of biocomposties. The structure-property correlation is illustrated for viscoelastic biomaterials under transient loading, and the existence of characteristic length of soft matter with viscoelastic property is involved in load transfer mechanism between the adjacent reinforcements in transient regime, which optimizes the load transfer mechanism between the adjacent reinforcements. Furthermore, we found that discontinuous fibril model could ensure large relative sliding deformation, helping dissipate energy, protecting fibril from overall damage, and achieving high ductility and high toughness, which can provide beneficial design strategies for engineering fiber reinforced composites.

show abstract

Viscoelastic shear lag model to predict the micromechanical behavior of tendon under dynamic tensile loading

Cited by 19 publications

References 71 publications

Mathematical modelling of microtubule-tau protein transients: Insights into the superior mechanical behavior of axon

Mathematical modelling of microtubule-tau protein transients: Insights into the superior mechanical behavior of axon

The contribution of sGAGs to stress-controlled tensile response of posterior porcine sclera

Effect of viscoelasticity on interfacial stress transfer mechanism in the biocomposites: A theoretical study of viscoelastic shear lag model

Contact Info

Product

Resources

About