Abstract
Characterization of the mechanical properties of human-tissue-mimicking silicone elastomers is important for producing accurate tissue models for experimentation. However, the viscoelastic and frequency-dependent material properties of elastomers are difficult to quantify. We present a material characterization technique for a silicone elastomer used to mimic human soft tissue based on generalized-Maxwell-type material models with and without fractional dissipating mechanisms. The silicone specimens were prestressed and had the shape of cylindrical rods. It was possible to consistently identify material properties of all specimen samples from different batches of the material obtained from the manufacturer. As a general trend, material models with a higher number of parameters performed better, with the exception of models with fractional order damping mechanisms. Fractional models had the highest success for nearly all the samples in representing the dynamic behavior of the elastomer in the frequency range of 5–100 Hz, where the specimen structure displays a strong modal response.
Issue Section:
Research Papers
References
1.
Spohnholtz
, T.
, Royston
, T. J.
, Yazicioglu
, Y.
, Martin
, B.
, Loth
, F.
, and Bassiouny
, H.
, “A Multimode Sonic and Ultrasonic Diagnostic Imaging System With Application to Peripheral Vascular Characterization
,” J. Acoust. Soc. Am.
, Vol. 117
(4
), 2005
, p. 2588.2.
Kalata
, W.
, Martin
, B.
, Oshinski
, J.
, and Loth
, F.
, “Hydrodynamics of Cerebrospinal Fluid in Spinal Canal With Chiari Malformation and Syringomyelia
,” Proceedings of IMECE04. 2004 ASME International Mechanical Engineering Congress
, ASME
, New York
, 2004
, pp. 1
–2
.3.
Martin
, B. A.
and Loth
, F.
, “The Influence of Coughing on Cerebrospinal Fluid Pressure in an In Vitro Syringomyelia Model With Spinal Subarachnoid Space Stenosis
,” Cerebrospinal Fluid Research
, Vol. 6
(1
), 2009
, p. 17. https://doi.org/10.1186/1743-8454-6-174.
Martin
, B. A.
, Labuda
, R.
, Royston
, T. J.
, Oshinski
, J. N.
, Iskandar
, B.
, and Loth
, F.
, “Spinal Subarachnoid Space Pressure Measurements in an In Vitro Spinal Stenosis Model: Implications on Syringomyelia Theories
,” J. Biomech. Eng.
, Vol. 132
(11
), 2010
, p. 111007. https://doi.org/10.1115/1.40000895.
Acikgoz
, S.
, Ozer
, M. B.
, Royston
, T. J.
, Mansy
, H. A.
, and Sandler
, R. H.
, “Experimental and Computational Models for Simulating Sound Propagation Within the Lungs
,” J. Vibr. Acoust.
, Vol. 130
(2
), 2008
, p. 021010. https://doi.org/10.1115/1.28273586.
Seppäläa
, T.
, Vähätalob
, J.
, Auterinenc
, I.
, Kosunend
, A.
, Nigge
, D. W.
, Wheelere
, F. J.
, and Savolainen
, S.
, “Modelling of Brain Tissue Substitutes for Phantom Materials in Neutron Capture Therapy (NCT) Dosimetry
,” Radiat. Phys. Chem.
, Vol. 55
(3
), 1999
, pp. 239
–246
. https://doi.org/10.1016/S0969-806X(98)00342-97.
Sediono
, W.
and Dössel
, O.
, “Heart Phantom: A Simple Elastomechanical Model of Ventricle
,” Proceedings of CARS 2002, 16th International Congress and Exhibition
, Paris, France
, June 26–29, 2002
, Computer Assisted Radiology and Surgery
, p. 1112.8.
Walker
, R. D.
, Smith
, R. E.
, Sherriff
, S. B.
, and Wood
, R. F. M.
, “Latex Vessels With Customized Compliance for Use in Arterial Flow Models
,” Physiol. Meas.
, Vol. 20
, 1999
, pp. 277
–286
. https://doi.org/10.1088/0967-3334/20/3/3059.
Lamouche
, G.
, Kennedy
, B. F.
, Kennedy
, K. M.
, Bisaillon
, C.-E.
, Curatolo
, A.
, Campbell
, G.
, Pazos
, V.
, and Sampson
, D. D.
, “Durable Tissue Simulating Phantoms With Controllable Optical, Mechanical and Structural Properties for Use in Optical Coherence Tomography
,” Biomed. Opt. Express.
, Vol. 3
(6
), 2012
, pp. 1381
–1398
. https://doi.org/10.1364/BOE.3.00138110.
Drexler
, E. S.
, Slifka
, A. J.
, Wright
, J. E.
, McCowan
, C. N.
, Finch
, D. S.
, Quinn
, P.
, McColskey
, J. D.
, Ivy
, D. D.
, and Shandas
, R.
, “An Experimental Method for Measuring Mechanical Properties of Rat Pulmonary Arteries Verified With Latex
,” J. Res. Natl. Inst. Stand. Technol.
, Vol. 108
(3
), 2003
, pp. 183
–191
. https://doi.org/10.6028/jres.108.01811.
Dunn
, M. G.
and Silver
, F. H.
, “Viscoelastic Behavior of Human Connective Tissues: Relative Contribution of Viscous and Elastic Components
,” Connect. Tissue Res.
, Vol. 12
(1
), 1983
, pp. 59
–70
. https://doi.org/10.3109/0300820830900561212.
Oakland
, R. J.
, Hall
, R. M.
, Wilcox
, R. K.
, and Barton
, D. C.
, “The Biomechanical Response of Spinal Cord Tissue to Uniaxial Loading
,” Proc. Inst. Mech. Eng., Part H: J. Eng. Med.
, Vol. 220
(4
), 2006
, pp. 489
–492
. https://doi.org/10.1243/09544119JEIM13513.
Conti
, J. C.
, Strope
, E. R.
, and Rohde
, D. J.
, “Frequency Dependent Radial Compliance of Latex Tubing
,” Biomed. Sci. Instrum.
, Vol. 33
, 1997
, pp. 524
–552
.14.
Mansy
, H. A.
, Grahe
, J. R.
, and Sandler
, R. H.
, “Elastic Properties of Synthetic Materials for Soft Tissue Modeling
,” Phys. Med. Biol.
, Vol. 53
, 2008
, pp. 2115
–2130
. https://doi.org/10.1088/0031-9155/53/8/00815.
Fabbroni
, E. F.
, Shull
, K. R.
, and Hersam
, M. C.
, “Adhesive and Mechanical Properties of Soft Nanocomposites: Model Studies With Blended Latex Films
,” J. Polym. Sci., Part B: Polym. Phys.
, Vol. 39
(24
), 2001
, pp. 3090
–3102
. https://doi.org/10.1002/polb.1002616.
Fromageau
, J.
, Brusseau
, E.
, Vray
, D.
, Gimenez
, G.
, and Delachartre
, P.
, “Characterization of PVA Cryogel for Intravascular Ultrasound Elasticity Imaging
,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control
, Vol. 50
(10
), 2003
, pp. 1318
–1324
. https://doi.org/10.1109/TUFFC.2003.124474817.
Usha Devi
, C.
, Vasu
, R. M.
, and Sood
, A. K.
, “Design, Fabrication, and Characterization of a Tissue-Equivalent Phantom for Optical Elastography
,” J. Biomed. Opt.
, Vol. 10
(4
), 2005
, pp. 1
–10
.18.
Walker
, W. F.
, Fernandez
, F. J.
, and Negron
, L. A.
, “A Method of Imaging Viscoelastic Parameters With Acoustic Radiation Force
,” Phys. Med. Biol.
, Vol. 45
, 2000
, pp. 1437
–1447
. https://doi.org/10.1088/0031-9155/45/6/30319.
Ozer
, M. B.
, Acikgoz
, S.
, Royston
, T. J.
, Mansy
, H. A.
, and Sandler
, R. H.
, “Boundary Element Model for Simulating Sound Propagation and Source Localization Within the Lungs
,” J. Acoust. Soc. Am.
, Vol. 122
(1
), 2007
, pp. 657
–671
. https://doi.org/10.1121/1.271545320.
Wells
, P. N.
and Liang
, H. D.
, “Medical Ultrasound: Imaging of Soft Tissue Strain and Elasticity
,” J. R. Soc., Interface
, Vol. 8
(64
), 2011
, pp. 1521
–1549
. https://doi.org/10.1098/rsif.2011.005421.
Hobson
, M. A.
, Prospects for Effective Uterine and Cervical Elastography
, ProQuest
, University of Wisconsin–Madison
, Madison, WI
, 2008
, pp. 118, 124.22.
Yazicioglu
, Y.
, Martin
, B. A.
, Navarro-Castillo
, K.
, Kutluay
, U.
, and Royston
, T. J.
, “Transverse Vibration of Prestressed Beams: An Experimental Technique for the Determination of Dynamic Viscoelastic Material Properties of Tissue Mimicking Materials
,” Proceedings of the Acoustics 2008/European Conference on Noise Control
, Paris, France
, June 29–July 4, 2008
, 155th Meeting of the Acoustical Society of America, pp. 6355
–6360
.23.
Graff
, K. F.
, Wave Motion in Elastic Solids
, Dover Publications
, New York
, 1991
.24.
Shaw
, M. T.
and MacKnight
, W. J.
, Introduction to Polymer Viscoelasticity
, Wiley-Interscience
, New York
, 2005
, p. 61.25.
26.
Lakes
, R. S.
, Viscoelastic Solids
, CRC Press
, Boca Raton, FL
, 1999
, pp. 24
–25
.27.
Gaul
, L.
, Klein
, P.
, and Kemple
, S.
, “Damping Description Involving Fractional Operators
,” Mech. Syst. Signal Process.
, Vol. 5
(2
), 1991
, pp. 81
–88
. https://doi.org/10.1016/0888-3270(91)90016-X28.
Nolte
, B.
, Kempfle
, S.
, and Schafer
, I.
, “Does a Real Material Behave Fractionally? Applications of Fractional Differential Operators to the Damped Structure Borne Sound in Viscoelastic Solids
,” J. Comput. Acoust.
, Vol. 11
(3
), 2003
, pp. 451
–490
. https://doi.org/10.1142/S0218396X0300202429.
Goldberg
, D. E.
, Genetic Algorithms in Search Optimization and Machine Learning
, Addison-Wesley
, Reading, MA
, 1989
.30.
Whorton
, M. S.
, “Closed Loop System Identification with Genetic Algorithms
,” Proceedings of the AIAA Guidance, Navigation and Control Conference and Exhibit
, Providence, RI
, August 16–19, AIAA
, 2004
, pp. 16
–19
.31.
El-Mihoub
, T. A.
, Hopgood
, A. A.
, Nolle
, L.
, and Battersby
, A.
, “Hybrid Genetic Algorithms: A Review
,” Engineering Letters
, Vol. 13
(2
), 2006
, pp. 124
–137
.
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