composites, particularly the fiber-matrix interaction during loading. This paper examines some models using assorted mathematical methods including dimensional analysis and variational methods. The examination yields greater insight into the behavior of these materials, especially at the point of failure. Furthermore,…
composites, particularly the fiber-matrix interaction during loading. This paper examines some models using assorted mathematical methods including dimensional analysis and variational methods. The examination yields greater insight into the behavior of these materials, especially at the point of failure. Furthermore, length scales related to these materials are discussed, which show that high performance cementitious com- posites (HP2C) are, from a mechanical point of view, a well designed match of two materials and their inter- actions. 1 INTRODUCTION 2 GOVERNING EQUATIONS It has long been recognized that the reinforcement of The loading and pullout behavior of a single fiber cementitious materials with fibers, whether steel, is usually modeled from known parameters, includ- glass, or plastic, is an effective method for improv- ing the material behavior of the fiber, the matrix, and ing the intrinsic ductility of the matrix. Fibers im- the matrix-fiber interface. These models often as- prove ductility by dissipative mechanisms in the vi- sume that through the elastic loading phase, the fiber cinity of the crack tip, which stabilizes crack and matrix are bonded by the interface, which trans- activating growth (Rossi et al. 1986). Once the brit- fers stresses from the fiber to the matrix.