SUN Shu-lei, MAO Jian-liang, PENG Xiong-qi. An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites[J]. Applied Mathematics and Mechanics, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001
Citation: SUN Shu-lei, MAO Jian-liang, PENG Xiong-qi. An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites[J]. Applied Mathematics and Mechanics, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001

An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites

doi: 10.3879/j.issn.1000-0887.2014.05.001
Funds:  The National Natural Science Foundation of China(11172171)
  • Received Date: 2013-12-16
  • Rev Recd Date: 2014-04-04
  • Publish Date: 2014-05-15
  • Based on the invariant theory of continuum mechanics by Spencer, an anisotropic nonlinear hyperelastic constitutive model involving fibre bending effect was developed for cord-reinforced rubber composite materials. Through introduction of the gradient of fiber vector after deformation, the unit-volume strain energy function was decomposed into four parts: volumetric, isochoric, anisotropic and bending deformation energy terms, which were convenient for parameter identification. Both the theoretical analysis and experimental study indicate that the traditional finite deformation theory based on the continuum mechanics for fibre-reinforced composite materials is not suitable for bending deformation. With the fibre bending stiffness taken into consideration, the present constitutive model’s correctness is validated by the numerical bending simulation of a previous test.
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