A Nonlinear Model of Passive Muscle Viscosity

Meyer, Gretchen A.; McCulloch, Andrew D.; Lieber, Richard L.

doi:10.1115/1.4004993

Cited by 69 publications

(64 citation statements)

References 42 publications

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“…However, due to the lack of the viscoelastic mechanical characterization, our main objective is not the study of the dynamic mechanical response to a load with a high displacement rate, but rather the static mechanical response to a high IAP. The characterization of viscoelastic properties of muscle would be useful to define more realistic material properties and would allow the simulation of dynamic processes [38]. This experimentation is within the scope of future works.…”

Section: Limitationsmentioning

confidence: 99%

Mechanical Response of the Herniated Human Abdomen to the Placement of Different Prostheses

Hernández-Gascón

Peña²,

Grasa

et al. 2013

Journal of Biomechanical Engineering

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This paper describes a method designed to model the repaired herniated human abdomen just after surgery and examine its static mechanical response to the maximum intra-abdominal pressure provoked by a physiological movement (standing cough). The model is based on the real geometry of the human abdomen bearing a large incisional hernia with several anatomical structures differentiated by MRI. To analyze the outcome of hernia repair, the surgical procedure was simulated by modeling a prosthesis placed over the hernia. Three surgical meshes with different mechanical properties were considered: an isotropic heavy-weight mesh (Surgipro®), a slightly anisotropic light-weight mesh (Optilene®), and a highly anisotropic medium-weight mesh (Infinit®). Our findings confirm that anisotropic implants need to be positioned such that the most compliant axis of the mesh coincides with the craneo-caudal direction of the body.

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Section: Limitationsmentioning

confidence: 99%

Mechanical Response of the Herniated Human Abdomen to the Placement of Different Prostheses

Hernández-Gascón

Peña²,

Grasa

et al. 2013

Journal of Biomechanical Engineering

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“…Samples underwent five cycles of load-relaxation in increments of approximately 3% strain and 300-second relaxation periods. Operating in this range ensured that tissue would not be strained to the point of creating damage or plastic deformation (Meyer et al 2011). Force measurements were sampled at 20 Hz using a 1000-gf load cell (Transducer Techniques, Temecula, CA), and the second Piola-Kirchoff stress was calculated as the force divided by the initial cross-sectional area.…”

Section: Methodsmentioning

confidence: 99%

Use of a Poroelastic Model to Predict Intramuscular Pressure

2013

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Measurement of individual muscle tension in a clinical setting has yet to be achieved. Previous investigators have suggested that the tension in skeletal muscle, comprised of approximately 70% fluid, could be determined using interstitial muscle fluid pressure (IMP). A computational model is needed to aid in understanding IMP distribution in muscles of varying geometry and contractile states without exhaustive testing. The first aim of this study was to determine a set of transversely isotropic material properties (i.e., permeability, relaxed modulus, and drained Poisson’s ratio) for excised skeletal muscle using inverse finite element analysis with a poroelastic constitutive formulation on tension data from either longitudinal or transverse uniaxial load-relaxation tests of skeletal muscle tissue. The second aim was to compare pore pressure estimated from a model to experimental pressure measurements to assess its ability to accurately predict IMP. Results of this study indicated that skeletal muscle was transversely isotropic under load-relaxation as demonstrated by significant differences in the drained Poisson’s ratio. It was also noted that the drained Poisson’s ratios under both longitudinal and transverse loading were negative in these tests of excised muscle tissue. Pore pressure calculated with this model provided a good prediction of the development of IMP. These results point to the benefit of using a poroelastic model of skeletal muscle to predict IMP.

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“…This requires different values of the material parameters {a, b} to define during loading and unloading, see Eq. (25). The graph on the right shows a change in slope at t = 5 s indicating the change in loading rate at λ = λ r .…”

Section: Stress Relaxationmentioning

confidence: 99%

“…It can be shown that by expressing B d in its spectral form that the expression A d · I is nonnegative so that (49) is satisfied by the functional form (25) for .…”

Section: Robust Strongly Objective Numerical Integration Algorithmmentioning

confidence: 99%

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Time-dependent behavior of passive skeletal muscle

Ahamed

Rubin

Trimmer

et al. 2015

Continuum Mech. Thermodyn.

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An isotropic three-dimensional nonlinear viscoelastic model is developed to simulate the timedependent behavior of passive skeletal muscle. The development of the model is stimulated by experimental data that characterize the response during simple uniaxial stress cyclic loading and unloading. Of particular interest is the rate-dependent response, the recovery of muscle properties from the preconditioned to the unconditioned state and stress relaxation at constant stretch during loading and unloading. The model considers the material to be a composite of a nonlinear hyperelastic component in parallel with a nonlinear dissipative component. The strain energy and the corresponding stress measures are separated additively into hyperelastic and dissipative parts. In contrast to standard nonlinear inelastic models, here the dissipative component is modeled using an evolution equation that combines rate-independent and rate-dependent responses smoothly with no finite elastic range. Large deformation evolution equations for the distortional deformations in the elastic and in the dissipative component are presented. A robust, strongly objective numerical integration algorithm is used to model rate-dependent and rate-independent inelastic responses. The constitutive formulation is specialized to simulate the experimental data. The nonlinear viscoelastic model accurately represents the time-dependent passive response of skeletal muscle.

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A Nonlinear Model of Passive Muscle Viscosity

Cited by 69 publications

References 42 publications

Mechanical Response of the Herniated Human Abdomen to the Placement of Different Prostheses

Mechanical Response of the Herniated Human Abdomen to the Placement of Different Prostheses

Use of a Poroelastic Model to Predict Intramuscular Pressure

Time-dependent behavior of passive skeletal muscle

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