Frequency domain identification of the fractional Kelvin-Voigt’s parameters for viscoelastic materials

Shabani, Majid; Jahani, Kamal; Paola, Mario Di; Sadeghi, Mostafa

doi:10.1016/j.mechmat.2019.103099

Cited by 18 publications

(9 citation statements)

References 35 publications

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“…Different rest times for a-gel were examined and the investigations showed that with considering approximately 20 min of rest time for starting new tests on the specimen, the relaxation time history is not affected. This time is in agreement with the proposed rest time for the same material by Shabani M et al 58 For the heart muscle specimens, the same rest time was considered. Since the viscoelastic properties of the tissue specimen in open atmospheric conditions of the lab are degraded with the passing of the time, considering longer rest time is not recommended.…”

Section: Experimental Procedures Of Relaxation Tests and Identification Strategysupporting

confidence: 88%

“…Frequency dependency behavior of this gel-type specimen recently has been reported. 58 As the strain is increased, the overall stiffness of the tissue rises, as very evident in Figure 12(a); these consequences agree with the results reported by Giles et al 66 Of particular note is the increase in E 0 as frequency increases, while, E 00 has parabolic behavior as frequency increases. However, comparing the three curves in Figure 12(b) indicates that by reducing the applied strain from 23.8% to 13% the curves sequence of loss modulus is changed to ascending.…”

Section: Dynamic Mechanical Analysis (Dma)supporting

confidence: 87%

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Identifying the parameters of viscoelastic model for a gel-type material as representative of cardiac muscle in dynamic tests

Siami

Jahani

Rezaee

2021

Proc Inst Mech Eng H

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In this paper, mechanical parameters of a calf heart muscle are identified and a gel-type material as the representative of the cardiac muscle in dynamic tests is introduced. The motivation of this study is to introduce a replacement material of the heart muscle to use in experimental studies of the leadless pacemaker. A particular test setup is developed to capture the experimental data based on the stress relaxation test method where its outputs are time histories of the force and displacement. The standard linear solid model is used for mathematical modeling of the heart muscle sample and a gel-type material specimen namely α-gel. Five tests with different strain history [Formula: see text] are performed by regarding and disregarding the influence of the initial ramp of the loading. The mechanical parameters of the standard linear solid model were identified with precise curve fitting. Consideration of the initial ramp significantly influences the consequences and they are so close to their experimental counterparts. The identified parameters of the standard linear solid model by regarding the influence of the initial ramp for the gel-type material are within an acceptable range for the viscoelastic properties of the calf heart tissue. These results show that the gel-type material has the potential to represent the cardiac muscle in the leadless pacemaker experimental studies. Dynamic mechanical analysis is used to characterize the dynamic viscoelastic properties for the gel by utilizing the identified parameters with taking into account the initial ramp in the frequency domain. Results show that Storage modulus, Loss modulus, and Loss tangent are strongly frequency-dependent especially at low-frequency around the heartbeat frequency range (0–2 Hz).

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Section: Experimental Procedures Of Relaxation Tests and Identification Strategysupporting

confidence: 88%

Section: Dynamic Mechanical Analysis (Dma)supporting

confidence: 87%

Identifying the parameters of viscoelastic model for a gel-type material as representative of cardiac muscle in dynamic tests

Siami

Jahani

Rezaee

2021

Proc Inst Mech Eng H

Self Cite

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“…Finite element method (FEM) has recently become a powerful method utilized in simulations of engineering and mathematical models. For example, the analytical model of the skin, as a viscoelastic material [ 81 ], contains differential terms with so complicated analytical solution [ 104 ]. FEM software implements a particular numerical method to facilitate solving the partial differential equations governing the physical modeling.…”

Section: Skin Penetration Analysismentioning

confidence: 99%

Engineering Microneedle Patches for Improved Penetration: Analysis, Skin Models and Factors Affecting Needle Insertion

et al. 2021

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Transdermal microneedle (MN) patches are a promising tool used to transport a wide variety of active compounds into the skin. To serve as a substitute for common hypodermic needles, MNs must pierce the human stratum corneum (~ 10 to 20 µm), without rupturing or bending during penetration. This ensures that the cargo is released at the predetermined place and time. Therefore, the ability of MN patches to sufficiently pierce the skin is a crucial requirement. In the current review, the pain signal and its management during application of MNs and typical hypodermic needles are presented and compared. This is followed by a discussion on mechanical analysis and skin models used for insertion tests before application to clinical practice. Factors that affect insertion (e.g., geometry, material composition and cross-linking of MNs), along with recent advancements in developed strategies (e.g., insertion responsive patches and 3D printed biomimetic MNs using two-photon lithography) to improve the skin penetration are highlighted to provide a backdrop for future research.

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“…Frequency-domain-based procedures can exploit magnitude and phase of the frequency response function [24] or the definition of storage modulus and loss factor [25,26]. Recently, Shabani et al [27] have proposed a new frequency-domain-based identification procedure defining an ad-hoc testing setup. As concerns the classification by the identification method, an accurate literature review points out that the authors generally adopt a multitude of different procedures, i.e., Arikolu [26] and Zhou et al [28] have proposed a genetic algorithm method, while procedure based on a curve fitting has been used by de Espindola et al [25] and Sasso et al [19].…”

Section: Introductionmentioning

confidence: 99%

Study on the Generalized Formulations with the Aim to Reproduce the Viscoelastic Dynamic Behavior of Polymers

et al. 2020

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Appropriate modelling of the real behavior of viscoelastic materials is of fundamental importance for correct studies and analyses of structures and components where such materials are employed. In this paper, the potential to employ a generalized Maxwell model and the relative fraction derivative model is studied with the aim to reproduce the experimental behavior of viscoelastic materials. For both models, the advantage of using the pole-zero formulation is demonstrated and a specifically constrained identification procedure to obtain the optimum parameters set is illustrated. Particular emphasis is given on the ability of the models to adequately fit the experimental data with a minimum number of parameters, addressing the possible computational issues. The question arises about the minimum number of experimental data necessary to estimate the material behavior in a wide frequency range, demonstrating that accurate results can be obtained by knowing only the data of the upper and low frequency plateaus plus the ones at the loss tangent peak.

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Frequency domain identification of the fractional Kelvin-Voigt’s parameters for viscoelastic materials

Cited by 18 publications

References 35 publications

Identifying the parameters of viscoelastic model for a gel-type material as representative of cardiac muscle in dynamic tests

Identifying the parameters of viscoelastic model for a gel-type material as representative of cardiac muscle in dynamic tests

Engineering Microneedle Patches for Improved Penetration: Analysis, Skin Models and Factors Affecting Needle Insertion

Study on the Generalized Formulations with the Aim to Reproduce the Viscoelastic Dynamic Behavior of Polymers

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