저자명 정세환 
년도 2006 
The fiber reinforced rubber composite has been attracted interests such as high specific modulus, high specific strength, efficient damping and thermal characteristics. Finite element analyses of the structures made of the fiber reinforced composite require adequate method to characterize the highly anisotropic behavior due to the one or several embedded layers of fiber cords with different spatial orientation. Currently, most numerical analyses of the fiber reinforced composites are based on the theories and techniques originally developed for laminated fiber composites, with several arbitrarily oriented cord layers and the matrix material being represented within one single finite element. The material properties are averaged over an element in the basis of an anisotropic material law. The alternative approach is the use of rebar element. This model is characterized by defining the overlay rebar element, which separately represents in conjunction with corresponding rubber element.
In this paper, the continuum based rebar element is newly proposed by considering the orientation of the fiber during the deformation of the composite. At first, numerical simulation is carried out in order to evaluate the generally used modeling schemes such as the Haplin-Tsai equation and the rebar element in ABAQUS/Standard. The analysis result shows the large difference in both schemes compared with the experimental one since the orientation of the fiber that causes the change of mechanical property of composites during the deformation is not considered in both scheme. For the improvement of analysis accuracy, the mechanical behavior of the embedded fiber is modeled using two node bar elements that enable the description of the relative deformation and spatial orientation of the embedded fiber. Three-dimensional finite element program is constructed based on the total Lagrangian formulation considering both the geometric nonlinearity and material nonlinearity. The finite element analysis of tensile test is carried and the simulation results are compared with experimental one in order to evaluate the validity of suggested scheme. The proposed method provides a realistic representation of fiber reinforced rubber composite compared with other modeling schemes such as the Haplin-Tsai equation and the rebar element in ABAQUS/Standard. The suggested scheme is then applied to the 3-D finite element analysis of the inflation process of an air-spring. Good agreement between analysis prediction and experimental result has been obtained and it demonstrates that suggested scheme is available to utilize in the finite element analysis of the structure made of the fiber reinforced composites.

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