Analysis of concrete crack growth based on micro‐plane model

Abstract

The crack geometry effect is encountered in compliance matrix as a tensor containing 17 on-plane stress/strain component interrelation. The components of compliance matrix vary due to the effects of the directional fabric behavior of the material created by inherent/induced anisotropy that can be differed in any of the multi-direction through material. Mathematically, any alterations in multidirectional material behavior are numerically integrated and affected in material compliance matrix. The main objective of this paper is to develop a numerical approach to determine the crack initiation and its growth for brittle materials such as concrete. Upon the numerical integration technique, any multi-directional behavior aspect is affected by components of compliance matrix to reflect historically in the next step material behavior. Accordingly, the proposed model results are investigated to satisfy both equilibrium and compatibility equations. In this paper, previous selected 13 sampling points in numerical integration are updated to 17 planes to overcome the compatibility problem. To show the capability of the model, a few fractured concrete test results under different loading stress/strain paths were examined. The significant advantage of the proposed multi-laminate model is to present a complete pre-failure history of stress/strain progress on different predefined sampling planes which leads to the illustration of the final damaged or failure mechanism. K E Y W O R D S anisotropy, complete compliance matrix, concrete, damage, multi-laminate

Bestimmung und Validierung von Materialparametern für die nichtlineare Modellierung von Beton

“…Darauf aufbauend wurden später weitere praxisnähere Modelle entwickelt, z. B. in [11][12][13][14][15][16][17]. Jedoch werden diese Modelle vorrangig in der Forschung in eigens dafür entwickelten Softwareumgebungen zur Untersuchung gezielter Problemstellungen angewandt und weniger für allgemeine Anwendungen in der Bemessungspraxis.…”

Experimental study on fracture behavior of notched self‐consolidating concrete beam strengthened with off‐axis CFRP sheet

“…In some studies, the effect of geometry and sheet material, the method of retrofitting with FRP, the mechanical properties of concrete, and so on on the fracture mode of the beam, the pattern of sheet separation and the bond stresses have all been investigated, and methods have been proposed to delay the separation of the FRP sheet . The mechanism of separation of the FRP sheet from the concrete has been examined by numerous researchers with the use of fracture mechanics and its energy . Achintha and Burgoyne used the concept of fracture mechanics based on total balance energy to determine the load at which the FRP sheet separates from the concrete beam.…”