Modeling of Complex Fiber Architecture Composites Using the Independent Mesh Method

[Abstract] An independent mesh modeling approach is proposed for complex multiple connected configuration of matrix in composite materials with three-dimensional fiber architecture. The approach is based on yarn surface geometry definitions imported from an image reconstruction and/or a predictive tool describing the yarn placement in the composite. The phase boundary between the yarn and the matrix is described as an approximation of the Heaviside step function with higher order shape functions. Polynomial B-spline approximation functions are used in the present paper. Fiber yarns are modeled by using displacement based spline approximation and yarn shape geometry. The displacement continuity condition between the yarns and the matrix is imposed by using the penalty function method. A model solution for plates with inclusions was obtained and examined to evaluate the accuracy of the method. An advantage of the proposed technique is that it appears to tolerate small errors in yarn geometry definition, such as interpenetrations. Tensile loading of a triaxial braided composite was considered.