A continuum model for tension-compression asymmetry in skeletal muscle

Latorre, Marcos; Mohammadkhah, Melika; Simms, Ciaran; Montáns, Francisco J.

doi:10.1016/j.jmbbm.2017.09.012

Cited by 26 publications

(12 citation statements)

References 24 publications

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“…The motivation for the exclusion of the adjacent tissues is the lack of knowledge of their in‐vivo mechanical properties. Third, we do not consider collagen fibers exclusion under compression, still an open problem debated in the literature . In terms of dynamical tests, the model does not account for the interaction between the deformable cornea and the ocular fluids (aqueous humor) filling the anterior chamber.…”

Section: Discussionmentioning

confidence: 99%

Modeling the biomechanics of the human cornea accounting for local variations of the collagen fibril architecture

et al. 2018

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We present a finite element model of the human cornea describing the in-plane organization of the stromal collagen, modified variously to include features of the collagen architecture. We investigate numerically the implication of the local organization of collagen in the stroma on the response of the human cornea to mechanical tests. We compare four different models by simulating three ideal mechanical tests, i. e., the ex-vivo inflation test, the in-vivo probe indentation, and the in-vivo air puff tests. Numerical results show slight differences between the models in terms of global response and stress distribution. Differences in the overall mechanical response are observed in dynamic tests, while quasi-static tests are not able to differentiate between the models. Stress distributions differ markedly when a variation of the shear stiffness across the thickness is considered. We conclude that the actual architecture of the collagen across the thickness of the cornea or at the limbus has a minor relevance from the mechanical point of view with respect to the main anisotropic orthogonal collagen structure that has been considered and acknowledged in the literature. K E Y W O R D Sbiomechanics, distributed fibers, finite elements, human cornea, hyperelasticity 2122

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Section: Discussionmentioning

confidence: 99%

Modeling the biomechanics of the human cornea accounting for local variations of the collagen fibril architecture

et al. 2018

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“…However, we note that logarithmic strains are nonlinear functions of the displacements, so a fully nonlinear model is obtained. In this case, little advantage is obtained respect a classical hyperelastic model: note that spline-based hyperelasticity allows for abrupt changes in material moduli [44].…”

Section: Extension To Finite Strainsmentioning

confidence: 99%

“…Therefore, the purpose of this work is to present a consistent, hyperelasticity-based alternative for the problem addressed above which depends on four independent constants in the isotropic case, is more suitable for a direct and simpler implementation in a finite element program and, furthermore, has an immediate extension to large strain isotropic hyperelasticity [43] (see below) and relatively simple for anisotropic materials as well [44]. We show by numerical examples that the efficiency is also as expected: only an additional iteration is needed from the linear case in homogeneous deformations.…”

Section: Introductionmentioning

confidence: 99%

Bi-modulus materials consistent with a stored energy function: Theory and numerical implementation

Latorre

Montáns

2020

Computers & Structures

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“…Computational modeling of passive skeletal muscle is thus essential to simulations of impact biomechanics [2]- [8], rehabilitation engineering [9], [10], surgical planning [11], [12], and bed sore development [9], [13]. These models rely on accurate material properties for skeletal muscle, which have been shown to be anisotropic [14], [15], time dependent [3]- [5], [16], [17], non-linear [3], [17], and asymmetric in regards to tension and compression [18], [19]. However, the compressive behavior of skeletal muscle is not fully understood, particularly regarding the differences in muscle response to in vivo loading conditions [3]- [5], [20].…”

Section: Introductionmentioning

confidence: 99%

An experimental and computational investigation of the effects of volumetric boundary conditions on the compressive mechanics of passive skeletal muscle

Vaidya

Wheatley

2020

Journal of the Mechanical Behavior of Biomedical Materials

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Computational modeling, such as finite element analysis, is employed in a range of biomechanics specialties, including impact biomechanics and surgical planning. These models rely on accurate material properties for skeletal muscle, which comprises roughly 40% of the human body. Due to surrounding tissues, compressed skeletal muscle in vivo likely experiences a semi-confined state. Nearly all previous studies investigating passively compressed muscle at the tissue level have focused on muscle in unconfined compression. The goals of this study were to (1) examine the stiffness and time-dependent material properties of skeletal muscle subjected to both confined and unconfined compression (2) develop a model that captures passive muscle mechanics under both conditions and (3) determine the extent to which different assumptions of volumetric behavior affect model results. Muscle in confined compression exhibited stiffer behavior, agreeing with previous assumptions of near-incompressibility. Stress relaxation was found to be faster under unconfined compression, suggesting there may be different mechanisms that support load these two conditions. Finite element calibration was achieved through nonlinear optimization (normalized root mean square error <6%) and model validation was strong (normalized root mean square error <17%). Comparisons to commonly employed assumptions of bulk behavior showed that a simple one parameter approach does not accurately simulate confined compression. We thus recommend the use of a properly calibrated, nonlinear bulk constitutive model for modeling of skeletal muscle in vivo. Future work to determine mechanisms of passive muscle stiffness would enhance the efforts presented here.

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A continuum model for tension-compression asymmetry in skeletal muscle

Cited by 26 publications

References 24 publications

Modeling the biomechanics of the human cornea accounting for local variations of the collagen fibril architecture

Modeling the biomechanics of the human cornea accounting for local variations of the collagen fibril architecture

Bi-modulus materials consistent with a stored energy function: Theory and numerical implementation

An experimental and computational investigation of the effects of volumetric boundary conditions on the compressive mechanics of passive skeletal muscle

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