Anisotropic microsphere-based approach to damage in soft fibered tissue

Saéz, Pablo; Alastrué, V.; Peña, Estefanía; Doblaré, M.; Martı́nez, Miguel Ángel

doi:10.1007/s10237-011-0336-9

Cited by 41 publications

(37 citation statements)

References 57 publications

(74 reference statements)

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“…First, we considered the Simo model, a continuous damage approach employing the concept of equivalent stress [35, 36, 37]. Second, we considered the Ogden model, which employs the concept of pseudoelasticity [38, 39, 40, 41].…”

Section: Thrombus Damage Modelingmentioning

confidence: 99%

A microstructurally inspired damage model for early venous thrombus

Rausch

Humphrey

2016

Journal of the Mechanical Behavior of Biomedical Materials

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Accumulative damage may be an important contributor to many cases of thrombotic disease progression. Thus, a complete understanding of the pathological role of thrombus requires an understanding of its mechanics and in particular mechanical consequences of damage. In the current study, we introduce a novel microstructurally inspired constitutive model for thrombus that considers a non-uniform distribution of microstructural fibers at various crimp levels and employs one of the distribution parameters to incorporate stretch-driven damage on the microscopic level. To demonstrate its ability to represent the mechanical behavior of thrombus, including a recently reported Mullins type damage phenomenon, we fit our model to uniaxial tensile test data of early venous thrombus. Our model shows an agreement with these data comparable to previous models for damage in elastomers with the added advantages of a microstructural basis and fewer model parameters. We submit that our novel approach marks another important step toward modeling the evolving mechanics of intraluminal thrombus, specifically its damage, and hope it will aid in the study of physiological and pathological thrombotic events.

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Section: Thrombus Damage Modelingmentioning

confidence: 99%

A microstructurally inspired damage model for early venous thrombus

Rausch

Humphrey

2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…In this section, a synthesis and degradation of TGF‐ β , MMP‐1 and TIMP‐1 models is presented based on the description of Saez et al . We allow the material density to evolve in time according to the mass balance for open‐system thermodynamics and adopt a source term,

scriptR

, similar to that described by Harrigan and Hamilton , Kuhl and Steinmann , and Saez et al as

\overset{ρ}{true} = scriptR with scriptR = γ {([], \frac{ρ}{ρ^{*}})}^{- m} λ - λ^{*},

where the exponent m is used for the stability of the algorithm, λ * is the stretch of the homeostatic equilibrium state, which vary from point to point in the carotid model, and λ = [ r · C · r ] 1/2 is the stretch of a fiber with orientation r . ρ is the density of the substance at hand, ρ * is the initial density, and

\overset{ρ}{true}

the material time derivative of ρ .…”

Section: Methodsmentioning

confidence: 99%

Computational model of collagen turnover in carotid arteries during hypertension

Saéz

Peña

Tarbell

et al. 2015

Numer Methods Biomed Eng

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SUMMARYIt is well known that biological tissues adapt their properties due to different mechanical and chemical stimuli. The goal of this work is the study of the collagen turnover in the arterial tissue of hypertensive patients through a coupled computational mechano-chemical model. Although it has been widely studied experimentally, computational models dealing with the mechano-chemical approach are not. The present approach can be extended easily to study other aspects of bone remodeling or collagen degradation in heart diseases. The model can be divided into three different stages. First, we study the smooth muscle cell synthesis of different biological substances due to the over-stretching during hypertension. Next, we study the mass-transport of these substances along the arterial wall. The last step is to compute the turnover of collagen based on the amount of these substances in the arterial wall which interact with each other to modify the turnover rate of collagen. We simulate this process in a finite element model of a real human carotid artery. The final results show the well known stiffening of the arterial wall due to the increase in the collagen content.

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“…Following plasticity nomenclature, further examination of Eqs. (45)(46)(47)(48)(49) results in the observation that if U j \0 or K j \0, then no damage or softening evolution takes place with respect to the jth damage or softening surface. Algorithmically, this motivates the notation of a "trial'' elastic predictor state defined by _ r j t ¼ 0 for all k or _ C j t ¼ 0 for all j [24].…”

Section: Computational Aspectsmentioning

confidence: 99%

“…Only one layer was considered since no experimental data were available for the separates layers and the material parameters are presented in Table 5. The load steps were applied sequentially as follows: (i) Imposition of an initial deformation gradient [4], (ii) Application of an internal pressure of 13.3 (kPa) in the vessel assuming this as the average physiological hemodynamic pressure and (iii) Imposition of pressure to the internal face of the balloon [47] (Fig. 8).…”

Section: Tablementioning

confidence: 99%

See 1 more Smart Citation

On the Microstructural Modeling of Vascular Tissues

Peña

2015

Lecture Notes in Computational Vision and Biomechanics

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Accurate determination of the biomechanical implications of vascular surgeries or pathologies on patients requires developing patient-specific models of the organ or vessel under consideration. In this regard, combining the development of advanced constitutive laws that mimic the behaviour of the vascular tissue with advanced computer analysis provides a powerful tool for modelling vascular tissues on a patient-specific basis. Collagen is the most abundant protein in mammals and provides soft biological tissue, like the vasculature, with mechanical strength, stiffness and toughness. In several tissues there is a strong alignment of the collagen fibres with little dispersion in their orientation, but in other cases, such as the artery wall, there is significant dispersion in the orientation, which has a significant influence on the mechanical response. Proposed structure-based models was used by taking into account the spatial dispersion or waviness of collagen fiber directions. Vascular tissues exhibits simultaneously elastic and viscous material response. The rate-dependent material behavior of this kind of materials has been well-documented and quantified in the literature. Furthermore, non-physiological loads drive soft tissue to damage that may induce a strong reduction of the stiffness. In this chapter, we have provided a critical review of the fundamental aspects in modeling this kind of the materials. The application of these constitutive relationships in the context of vascular system has been presented.

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Anisotropic microsphere-based approach to damage in soft fibered tissue

Cited by 41 publications

References 57 publications

A microstructurally inspired damage model for early venous thrombus

A microstructurally inspired damage model for early venous thrombus

Computational model of collagen turnover in carotid arteries during hypertension

On the Microstructural Modeling of Vascular Tissues

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