Estimating material elasticity by spherical indentation load-relaxation tests on viscoelastic samples of finite thickness

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 58, Issue 7, 2011, Pages 1418-1429

  Qiang, Bo ^a   Greenleaf, James ^a   Oyen, Michelle ^b   Zhang, Xiaoming ^a  

^a MAYO CLINIC   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CHICKEN BREAST; CONSTANT SPEED; ELASTICITY ESTIMATION; FINITE ELEMENT SIMULATIONS; FINITE THICKNESS; GELATIN PHANTOMS; GELATIN SAMPLES; INDENTATION METHOD; INDENTERS; LOAD-RELAXATION TESTS; MAXWELL MODELS; RAMP TIME; REACTION FORCES; RELAXATION MODULUS; SAMPLE THICKNESS; SHEAR ELASTICITY; SPHERICAL INDENTATIONS; THREE-BRANCH;

ANIMALS; COMPUTER SIMULATION; ELASTICITY; ESTIMATION; EXPONENTIAL FUNCTIONS; SURFACE WAVES; SURFACES; WAVES;

FINITE ELEMENT METHOD;

GELATIN; VISCOELASTIC SUBSTANCE;

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CHEMISTRY; CHICKEN; ECHOGRAPHY; ELASTICITY; IMAGE QUALITY; INSTRUMENTATION; REPRODUCIBILITY; SKELETAL MUSCLE; VISCOSITY;

ALGORITHMS; ANIMALS; CHICKENS; ELASTICITY; GELATIN; MODELS, BIOLOGICAL; MUSCLE, SKELETAL; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; ULTRASONOGRAPHY; VISCOELASTIC SUBSTANCES; VISCOSITY;

EID: 79960514180     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2011.1961     Document Type: Article

References (45)

1. J. F. Greenleaf, M. Fatemi, and M. Insana, "Selected methods for imaging elastic properties of biological tissues," Annu. Rev. Biomed. Eng., vol. 5, pp. 57-78, 2003. (Pubitemid 40125308)
2. Y. Qiu, M. Sridhar, J. K. Tsou, K. K. Lindfors, and M. F. Insana, "Ultrasonic viscoelasticity imaging of nonpalpable breast tumors: Preliminary results," Acad. Radiol., vol. 15, pp. 1526-1533, Dec. 2008.
3. H. P. Dobrev, "In vivo study of skin mechanical properties in patients with systemic sclerosis," J. Am. Acad. Dermatol., vol. 40, pp. 436-442, Mar. 1999. (Pubitemid 29115305)
4. C. Flynn and B. A. McCormack, "Simulating the wrinkling and aging of skin with a multi-layer finite element model," J. Biomech., vol. 43, pp. 442-448, Feb. 10, 2010.
5. I. Sack, B. Beierbach, J. Wuerfel, D. Klatt, U. Hamhaber, S. Papazoglou, P. Martus, and J. Braun, "The impact of aging and gender on brain viscoelasticity," Neuroimage, vol. 46, pp. 652-657, Jul. 1, 2009.
6. L. Huwart and B. E. van Beers, "MR elastography," Gastroenterol. Clin. Biol., vol. 32, pp. 68-72, Sep. 2008.
7. R. Muthupillai and R. L. Ehman, "Magnetic resonance elastography," Nat. Med., vol. 2, pp. 601-603, May 1996. (Pubitemid 26150690)
8. M. Fatemi and J. F. Greenleaf, "Vibro-acoustography: An imaging modality based on ultrasound-stimulated acoustic emission," Proc. Natl. Acad. Sci. USA, vol. 96, pp. 6603-6608, Jun. 8, 1999. (Pubitemid 29274929)
9. M. Fatemi and J. F. Greenleaf, "Ultrasound-stimulated vibro-acoustic spectrography," Science, vol. 280, pp. 82-85, Apr. 3, 1998. (Pubitemid 28169084)
10. B. Qiang, J. Greenleaf, and X. Zhang, "Quantifying viscoelasticity of gelatin phantoms by measuring impulse response using compact optical sensors," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 57, pp. 1696-1700, Jul. 2010.
11. X. Zhang and J. F. Greenleaf, "Estimation of tissue's elasticity with surface wave speed," J. Acoust. Soc. Am., vol. 122, pp. 2522-2525, Nov. 2007.
12. V. V. Kazakov and B. N. Klochkov, "Low frequency mechanical properties of the soft tissue of the human arm," Biophysics, vol. 34, pp. 742-747, 1989.
13. S. Chen, M. W. Urban, C. Pislaru, R. Kinnick, Y. Zheng, A. Yao, and J. F. Greenleaf, "Shearwave dispersion ultrasound vibrometry (SDUV) for measuring tissue elasticity and viscosity," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 56, pp. 55-62, Jan. 2009.
14. J. Bercoff, M. Tanter, and M. Fink, "Supersonic shear imaging: A new technique for soft tissue elasticity mapping," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 51, pp. 396-409, Apr. 2004.
15. W. C. Hayes, L. M. Keer, G. Herrmann, and L. F. Mockros, "A mathematical analysis for indentation tests of articular cartilage," J. Biomech., vol. 5, pp. 541-551, Sep. 1972.
16. L. Cheng, X. Xia, W. Yu, L. E. Scriven, and W. W. Gerberich, "Flat-punch indentation of viscoelastic material," J. Polym. Sci., B, vol. 38, pp. 10-22, Jan. 2000. (Pubitemid 30519015)
17. M. Sakamoto, G. Li, T. Hara, and E. Y. S. Chao, "A new method for theoretical analysis of static indentation test," J. Biomech., vol. 29, pp. 679-685, May 1996. (Pubitemid 26093297)
18. N. E. Waters, "The indentation of thin rubber sheets by cylindrical indentors," Br. J. Appl. Phys., vol. 16, no. 9, p. 1387 1965.
19. E. K. Dimitriadis, F. Horkay, J. Maresca, B. Kachar, and R. S. Chadwick, "Determination of elastic moduli of thin layers of soft material using the atomic force microscope," Biophys. J., vol. 82, pp. 2798-2810, May 2002. (Pubitemid 34441316)
20. M. L. Oyen, "Spherical indentation creep following ramp loading," J. Mater. Res., vol. 20, no. 8, pp. 2094-2100, 2005. (Pubitemid 41763313)
21. J. M. Mattice, A. G. Lau, M. L. Oyen, and R. W. Kent, "Spherical indentation load-relaxation of soft biological tissues," J. Mater. Res., vol. 21, no. 8, pp. 2003-2010, 2006. (Pubitemid 44469136)
22. M. Sakai, "Time-dependent viscoelastic relation between load and penetration for an axisymmetric indenter," Philos. Mag. A, vol. 82, no. 10, pp. 1841-1849, 2002. (Pubitemid 35393304)
23. D. M. Ebenstein and L. A. Pruitt, "Nanoindentation of biological materials," Nano Today, vol. 1, pp. 26-33, Aug. 2006. (Pubitemid 44057679)
24. M. L. Oyen, "Analytical techniques for indentation of viscoelastic materials," Philos. Mag., vol. 86, pp. 5625-5641, 2006. (Pubitemid 44410591)
25. L. Cheng, X. Xia, L. E. Scriven, and W. W. Gerberich, "Sphericaltip indentation of viscoelastic material," Mech. Mater., vol. 37, pp. 213-226, Jan. 2005.
26. G. Boyer, L. Laquieze, A. Le Bot, S. Laquieze, and H. Zahouani, "Dynamic indentation on human skin in vivo: Ageing effects," Skin Res. Technol., vol. 15, pp. 55-67, Feb. 2009.
27. R. D. Bradshaw and L. C. Brinson, "A sign control method for fitting and interconverting material functions for linearly viscoelastic solids," Mech. Time-Depend. Mater., vol. 1, no. 1, pp. 85-108, 1997. (Pubitemid 127715953)
28. C. Coussot, S. Kalyanam, R. Yapp, and M. F. Insana, "Fractional derivative models for ultrasonic characterization of polymer and breast tissue viscoelasticity," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 56, pp. 715-726, Apr. 2009.
29. A. C. Fischer-Cripps, "Elastic contact," in Introduction to Contact Mechanics, 2nd ed., New York, NY: Springer, 2007, ch. 6, pp. 101-114.
30. C. Pailler-Mattéi and H. Zahouani, "Analysis of adhesive behaviour of human skin in vivo by an indentation test," Tribol. Int., vol. 39, no. 1, pp. 12-21, 2006. (Pubitemid 41606271)
31. C. Pailler-Mattei, S. Bec, and H. Zahouani, "In vivo measurements of the elastic mechanical properties of human skin by indentation tests," Med. Eng. Phys., vol. 30, pp. 599-606, Jun. 2008. (Pubitemid 351749850)
32. M. M. Hyttinen, J. Toyras, T. Lapvetelainen, J. Lindblom, D. J. Prockop, S. W. Li, M. Arita, J. S. Jurvelin, and H. J. Helminen, "Inactivation of one allele of the type II collagen gene alters the collagen network in murine articular cartilage and makes cartilage softer," Ann. Rheum. Dis., vol. 60, pp. 262-268, Mar. 2001. (Pubitemid 32260610)
33. L. Zhai, M. L. Palmeri, R. R. Bouchard, R. W. Nightingale, and K. R. Nightingale, "An integrated indenter-ARFI imaging system for tissue stiffness quantification," Ultrason. Imaging, vol. 30, pp. 95-111, Apr. 2008.
34. Y. Yang, P. O. Bagnaninchi, M. Ahearne, R. K. Wang, and K. K. Liu, "A novel optical coherence tomography-based micro-indentation technique for mechanical characterization of hydrogels," J. R. Soc. Interface, vol. 4, pp. 1169-1173, Dec. 22, 2007. (Pubitemid 350303859)
35. A. J. Engler, L. Richert, J. Y. Wong, C. Picart, and D. E. Discher, "Surface probe measurements of the elasticity of sectioned tissue, thin gels and polyelectrolyte multilayer films: Correlations between substrate stiffness and cell adhesion," Surf. Sci., vol. 570, no. 1-2, pp. 142-154, 2004.
36. J. M. Goffin, P. Pittet, G. Csucs, J. W. Lussi, J. J. Meister, and B. Hinz, "Focal adhesion size controls tension-dependent recruitment of alpha-smooth muscle actin to stress fibers," J. Cell Biol., vol. 172, pp. 259-268, Jan. 16, 2006. (Pubitemid 43112972)
37. W. Gander and W. Gautschi, "Adaptive quadrature-Revisited," BIT Numerical Mathematics, vol. 40, pp. 84-101, 2000.
38. G. Strang, Computational Science and Engineering. Wellesley, MA: Wellesley-Cambridge Press, 2007.
39. S. Catheline, J. L. Gennisson, G. Delon, M. Fink, R. Sinkus, S. Abouelkaram, and J. Culioli, "Measuring of viscoelastic properties of homogeneous soft solid using transient elastography: An inverse problem approach," J. Acoust. Soc. Am., vol. 116, pp. 3734-3741, Dec. 2004. (Pubitemid 40029953)
40. M. W. Urban and J. F. Greenleaf, "A Kramers-Kronig-based quality factor for shear wave propagation in soft tissue," Phys. Med. Biol., vol. 54, pp. 5919-5933, Oct. 7, 2009.
41. M. W. Urban, S. Chen, and J. F. Greenleaf, "Error in estimates of tissue material properties from shear wave dispersion ultrasound vibrometry," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 56, pp. 748-758, Apr. 2009.
42. X. Zhang, B. Qiang, and J. Greenleaf, "Comparison of the surface wave method and the indentation method for measuring the elasticity of gelatin phantoms of different concentrations," Ultrasonics, vol. 51, pp. 157-164, Feb. 2011.
43. M. Zhang, Y. P. Zheng, and A. F. Mak, "Estimating the effective Young's modulus of soft tissues from indentation tests-Nonlinear finite element analysis of effects of friction and large deformation," Med. Eng. Phys., vol. 19, pp. 512-517, Sep. 1997. (Pubitemid 27461590)
44. K. E. Atkinson and L. F. Shampine, "Algorithm 876: Solving Fredholm integral equations of the second kind in MATLAB," ACM Trans. Math. Software, vol. 34, no. 4, pp. 1-20, 2008.
45. G. Boyer, H. Zahouani, A. Le Bot, and L. Laquieze, "In vivo characterization of viscoelastic properties of human skin using dynamic micro-indentation," Conf. Proc. IEEE Eng. Med. Biol. Soc., vol. 2007, pp. 4584-4587, 2007.