Microstructure-based finite element analysis of heterogeneous media with partial interface cracks
- Ohio State Univ., Columbus, OH (United States)
A microstructure-based finite element method is developed for two-dimensional heterogeneous materials where circular rigid inclusions with partial debonding are randomly dispersed. An n-sided polygonal network is used to deal with randomness of the distribution of inclusions. Each polygonal element contains a circular inclusion with a microcrack at the matrix-inclusion interface. The element formulations are based on the Hellinger-Reissner principle and hybrid finite element method. A new hybrid functional is proposed in the matrix region to formulate the element stiffness matrix for the mixed boundary value problem. In approximating the stress and displacement fields in the element, the two holomorphic functions governing the elastic fields in the matrix are expanded into two complex Laurent series. The resulting element stiffness matrix is symmetric and only involves integration along the inner and outer boundaries of the element. Numerical examples are presented to demonstrate the validity and versatility of the proposed method.
- OSTI ID:
- 175169
- Report Number(s):
- CONF-950686--
- Country of Publication:
- United States
- Language:
- English
Similar Records
Prediction of Damage in Randomly Oriented Short-Fibre Composites by means of A Mechanistic Approach
A Mechanistic Approach to Matrix Cracking Coupled with Fiber--Matrix Debonding in Short-Fiber Composites