Deformation of the spherical capsule in 3D simple shear fow is simulated using the immersed boundary method. The capsule membrane is regarded as an elastic medium satisfying the Neo-Hookean or Skalak elasticity. The motions of the capsule under various capillary numbers are studied. The results show that the deformation of the capsule becomes larger as the capillary number increases;in the same shear fow,the deformation under Skalak law is smaller than that under Neo-Hookean;for small capillary number the Taylor parameter agrees well with the analytical solution,whereas for large capillary number it is less than the analytical solution. Those results are validated by previous works obtained by the boundary integral method and the immersed boundary method.
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