摘要Fish are supposed to be able to adapt to various underwater environments. The mechanical properties of the body of a fish is of essential importance in order to explore the source of high efficiency during fish swimming. We investigate the viscoelastic properties of the fins, muscle and skin of Crucian carp (carassius auratus). A fractional Zener model is used to fit the relaxation force and the results show that the model can describe the relaxation process well. With a Fourier transform, we discuss the response functions of the fins, muscle and skin of Crucian carp under the external excitation of a harmonic force. Comparison of these results with the cruising frequency of Crucian carp shows that the dissipation due to internal viscoelasticity during cruising is small.
Abstract：Fish are supposed to be able to adapt to various underwater environments. The mechanical properties of the body of a fish is of essential importance in order to explore the source of high efficiency during fish swimming. We investigate the viscoelastic properties of the fins, muscle and skin of Crucian carp (carassius auratus). A fractional Zener model is used to fit the relaxation force and the results show that the model can describe the relaxation process well. With a Fourier transform, we discuss the response functions of the fins, muscle and skin of Crucian carp under the external excitation of a harmonic force. Comparison of these results with the cruising frequency of Crucian carp shows that the dissipation due to internal viscoelasticity during cruising is small.
CHEN Ming;JIA Lai-Bing;YIN Xie-Zhen**
. Viscoelastic Characteristics of Fins, Muscle and Skin in Crucian Carp (Carassius Auratus) Described by the Fractional Zener Model[J]. 中国物理快报, 2011, 28(8): 88703-088703.
CHEN Ming, JIA Lai-Bing, YIN Xie-Zhen**
. Viscoelastic Characteristics of Fins, Muscle and Skin in Crucian Carp (Carassius Auratus) Described by the Fractional Zener Model. Chin. Phys. Lett., 2011, 28(8): 88703-088703.
[1] Long J H, Koob-Emunds M, Sinwell B and Koob T J 2002 J. Exp. Biol. 205 3819
[2] Meyers M A and Chawla K K 1999 Mechanical Behavior of Materials (Upper Saddle River: Prentice Hall) p 97
[3] Alben S 2009 J. Fluid Mech. 635 27
[4] Long J H and Nipper K S 1996 Amer. Zool. 36 678
[5] Hernández-Jiménez A, Hernández-Santiago J, Macias-García A and Sánchez-González J 2002 Polym. Test. 21 325
[6] Metzler R and Nonnenmacher T F 2003 Int. J. Plasticity 19 941
[7] Hu K X and Zhu K Q 2009 Chin. Phys. Lett. 26 108301
[8] Schiessel H, Metzler R, Blumen A and Nonnenmacher T F 1995 J. Phys. A: Math. Gen. 28 6567
[9] Yin Y B and Zhu K Q 2006 Appl. Math. Comput. 173 231
[10] Davis G B, Kohandel M, Sivaloganathan S and Tenti G 2006 Med. Eng. Phys. 28 455
[11] Friedrich C and Braun H 1992 Rheol. Acta 31 309
[12] Glöckle W G and Nonnenmacher T F 1991 Macromolecules 24 6426
[13] Metzler R, Schick W, Kilian H G and Nonnenmacher T F 1995 J. Chem. Phys. 103 7180
[14] Mainardi F and Gorenflo R 2007 Fractional Calculus and Applied Analysis 3 269
[15] Gaul L, Klein P and Kemple S 1991 Mech. Syst. Signal. Pr. 5 81
[16] Geerlink P J and Videler J J 1987 Neth. J. Zool. 37 59
[17] Lauder G V, Madden P G A, Mittal R, Dong H and Bozkurttas M 2006 Bioinsp. Biomim. 1 S25
[18] Zhou M, Chen M, Yin X Z and Tong B G 2008 Proceedings of the 2nd International Conference of Bionic Engineering (Changchun, China 10–12 October 2008) p 35
[19] Alben S, Madden P G and Lauder G V 2007 J. R. Soc. London 4 243
[20] Li X M, Wu Y F, Lu X Y and Yin X Z 2003 Proc. SPIE 5058 139
[21] Jing J, Yin X Z and Lu X Y 2004 J. Bionic Engin. 1 102
2011, Vol. 28 
