Transversely Isotropic Hyperelastic Constitutive Model of Short Fiber Reinforced EPDM Based on Tensor Function

[摘要] Short fiber reinforced EPDM is a new kind of composite material used in solid rocket motor winding and coating. It has relatively large deformation under the small stress condition, and the physical non-linear characteristic is obvious. Due to the addition of fiber in the specific direction of the rubber, the macroscopic mechanical properties are expressed as transversely isotropic properties. In order to describe the mechanical behavior under the impact and vibration, the transversely isotropic hyperelastic constitutive model based on tensor function is proposed. The symmetry of the transversely isotropic incompressible material limits the stress tensor ' K ' to be characterized as a function of 5 tensor invariants and 4 scalar invariants. The third power constitutive equations of the model give 12 independent elastic constants of the transversely isotropic nonlinear elastic material. The experimental results show that the non-zero elastic constants are different in the fiber direction and at the different strain rate. Number and value of adiabatic layer and related products R & D has a reference value.

[发布机构] Taiyuan University of Science and Technology, Taiyuan; 030024, China^1;Shanxi Architectural College, Taiyuan; 030006, China^2

[效力级别] 机械制造 [学科分类] 材料科学（综合）

[关键词] Hyperelastic constitutive model;Incompressible material;Macroscopic mechanical properties;Mechanical behavior;Nonlinear characteristics;Nonlinear elastic materials;Solid rocket motors;Transversely isotropic