A compressible hyper-viscoelastic material constitutive model for human brain tissue and the identification of its parameters

Hosseini-Farid, Mohammad; Ramzanpour, Mohammadreza; Ziejewski, Mariusz; Karami, G.

doi:10.1016/j.ijnonlinmec.2019.06.008

Cited by 32 publications

(30 citation statements)

References 38 publications

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“…It is known that brain tissue has both elastic and viscous behaviors [7][8][9][10]. A great deal of e ort has been devoted, therefore, to describing material properties of the brain tissue in terms of linear viscoelastic behavior [11][12][13]. Quasi-linear and nonlinear viscoelastic theories have also been developed for large deformations [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Instantaneous and Equilibrium Responses of the Brain Tissue by Stress Relaxation and Quasi-Linear Viscoelasticity Theory

et al. 2019

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Human brain and brainstem tissues have viscoelastic characteristics and their behaviors are functions of strains as well as strain rates. Determination of the equilibrium and instantaneous stresses happening at low and high strain rates provides insights into a better understanding of the behavior of such tissues. In this manuscript, we present the results of a series of stress relaxation tests at 6 di erent values of strains conducted on porcine brainstem tissue samples to indirectly measure the equilibrium and instantaneous stresses. The equilibrium stresses at low strain rates were measured from long-term responses to the stress relaxation test. The instantaneous stresses at high strain rates were determined using Quasi-Linear Viscoelasticity (QLV) theory at 6 strains. The results showed that the instantaneous stresses were much larger (almost 11 times) than the equilibrium stresses across all the strains. It was concluded that the instantaneous response could reasonably be estimated from the long-term response, which could easily be measured in an experimental manner. The experimental results also showed that the reduced relaxation moduli, estimated by the QLV theory, varied for the 6 strains tested.

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Section: Introductionmentioning

confidence: 99%

Instantaneous and Equilibrium Responses of the Brain Tissue by Stress Relaxation and Quasi-Linear Viscoelasticity Theory

et al. 2019

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“…The material is supposed to show viscoelastic behavior which is characteristic for polymers [17,16], rubber-like materials [6,12] or biological tissue [4,8]. Such materials are subjected to very pronounced time and temperature-dependent mechanical properties.…”

Section: Problem Descriptionmentioning

confidence: 99%

Surrogate-Assisted Optimization for Augmentation of Finite Element Techniques

Bagheri¹,

Reinicke²,

Anders³

et al. 2021

14th WCCM-ECCOMAS Congress

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The application of finite element techniques for the analysis and optimization of complex thermo-mechanical structures typically involves highly nonlinear models for material characterization, tribological contact, large deformation, damage, etc. These nonlinearities usually call for a higher-order Spatio-temporal discretization, including a large number of elements and time-steps in order to provide good convergence and sufficiently accurate simulation results. This inevitably leads to many expensive simulations in terms of cost and time if an optimization or adaption of model parameters has to be done. In this work, a FEM simulation modeling approach is proposed, which uses radial basis function interpolations (RBF) as efficient surrogate models to save FEM simulations. Also, a surrogate-assisted optimization algorithm [3] is utilized to find the parameter setting, which would lead to maximum damage in a simple tensile testing scenario involving a notched specimen with as few FEM simulations as possible. The relatively high accuracy of the utilized surrogate models showcases promising results and indicates the potential of surrogate models in saving time-expensive simulations.

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“…Mechanical properties of brain tissue are a fundamental subject of biomechanics and have been extensively studied in the last few decades [3,14,15]. It has been shown that the mechanical behavior of the brain is dominated by the loading rate and varies nonlinearly with any change in strain, as well as with its strain rate [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

The Strain Rates in the Brain, Brainstem, Dura, and Skull under Dynamic Loadings

Hosseini-Farid

Amiri-Tehrani-Zadeh

Ramzanpour

et al. 2020

MCA

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Knowing the precise material properties of intracranial head organs is crucial for studying the biomechanics of head injury. It has been shown that these biological tissues are significantly rate-dependent; hence, their material properties should be determined with respect to the range of deformation rate they experience. In this paper, a validated finite element human head model is used to investigate the biomechanics of the head in impact and blast, leading to traumatic brain injuries (TBI). We simulate the head under various directions and velocities of impacts, as well as helmeted and unhelmeted head under blast shock waves. It is demonstrated that the strain rates for the brain are in the range of 36 to 241 s −1 , approximately 1.9 and 0.86 times the resulting head acceleration under impacts and blast scenarios, respectively. The skull was found to experience a rate in the range of 14 to 182 s −1 , approximately 0.7 and 0.43 times the head acceleration corresponding to impact and blast cases. The results of these incident simulations indicate that the strain rates for brainstem and dura mater are respectively in the range of 15 to 338 and 8 to 149 s −1 . These findings provide a good insight into characterizing the brain tissue, cranial bone, brainstem and dura mater, and also selecting material properties in advance for computational dynamical studies of the human head.

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A compressible hyper-viscoelastic material constitutive model for human brain tissue and the identification of its parameters

Cited by 32 publications

References 38 publications

Instantaneous and Equilibrium Responses of the Brain Tissue by Stress Relaxation and Quasi-Linear Viscoelasticity Theory

Instantaneous and Equilibrium Responses of the Brain Tissue by Stress Relaxation and Quasi-Linear Viscoelasticity Theory

Surrogate-Assisted Optimization for Augmentation of Finite Element Techniques

The Strain Rates in the Brain, Brainstem, Dura, and Skull under Dynamic Loadings

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