Research Papers

A Nonlinear Viscoelastic Model for Adipose Tissue Representing Tissue Response at a Wide Range of Strain Rates and High Strain Levels

[+] Author and Article Information
Hosein Naseri

Mechanics and Maritime Sciences,
Chalmers University of Technology,
Gothenburg SE-412 96, Sweden
e-mail: hosein.naseri@chalmers.se

Håkan Johansson

Mechanics and Maritime Sciences,
Chalmers University of Technology,
Gothenburg SE-412 96, Sweden
e-mail: Hakan.Johansson@chalmers.se

Karin Brolin

Mechanics and Maritime Sciences,
Chalmers University of Technology,
Gothenburgkarin SE-412 96, Sweden
e-mail: brolin@chalmers.se

1Corresponding author.

Manuscript received May 30, 2017; final manuscript received October 9, 2017; published online February 12, 2018. Assoc. Editor: Thao (Vicky) Nguyen.

J Biomech Eng 140(4), 041009 (Feb 12, 2018) (8 pages) Paper No: BIO-17-1230; doi: 10.1115/1.4038200 History: Received May 30, 2017; Revised October 09, 2017

Finite element human body models (FEHBMs) are nowadays commonly used to simulate pre- and in-crash occupant response in order to develop advanced safety systems. In this study, a biofidelic model for adipose tissue is developed for this application. It is a nonlinear viscoelastic model based on the Reese et al.'s formulation. The model is formulated in a large strain framework and applied for finite element (FE) simulation of two types of experiments: rheological experiments and ramped-displacement experiments. The adipose tissue behavior in both experiments is represented well by this model. It indicates the capability of the model to be used in large deformation and wide range of strain rates for application in human body models.

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Fig. 3

Schematic illustration of ramped displacement experiment at constant shear strain and different rates [18]

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Fig. 4

The FE model for adipose tissue samples and its four node quadrilateral element in cylindrical coordinates

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Fig. 5

The effect of inertia with increasing ω from a to b in a typical virtual rotational rheometer test [42]. The used parameters: μe=0.6 kPa,μv(1,2,3,4,5)={2,4,7,13,20}kPa,t⋆(1,2,3,4,5)={4500,600,28,10,4} s,nc=1.75 and τc = 30 kPa.

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Fig. 6

The first calibration approach: frequency sweep results: model fit for ω = {1, 10, 100} and model prediction for the remaining frequency responses in the frequency sweep experiment

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Fig. 2

(a) Generalized Maxwell model and (b) schematic representation of the multiplicative decomposition of the deformation gradient tensor F [35]. Fv is inelastic part of F which transfers the initial configuration to the intermediate configuration. Then Fe, elastic part of F, transfers the intermediate configuration to the current configuration.

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Fig. 1

Schematic illustration of characterizing adipose tissue response in the unknown region specified by a question mark based on known regions A and B

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Fig. 7

The first calibration approach: model prediction of adipose tissue response in the ramped displacement test: (a) ε˙=1 s−1 and (b) ε˙=0.1 s−1

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Fig. 8

The second calibration approach: (a) model fit for ε˙=1 s−1, (b) model prediction for ε˙=0.1 s−1, and (c) model prediction for ε˙=0.01 s−1

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Fig. 9

The second calibration approach: model prediction for the frequency sweep test

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Fig. 10

The third calibration approach: model prediction for the frequency sweep test

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Fig. 11

The third calibration approach: (a) model fit for the ε˙=1 s−1, (b) model prediction for the ε˙=0.1 s−1, and (c) model prediction for the ε˙=0.01 s−1

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Fig. 12

Adipose tissue response at high strain rates and large deformation: solid lines are test data from Ref. [19] and dashed lines are model prediction from different calibration approaches



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