Analytical simulation of pull-out tests--the direct problem

In recent years many researchers developed analytical expressions to predict the bond stress versus slip response and the bond stress distribution for different types of pull-out tests, shear tests, etc. However, the models are mainly based on only a limited number of free parameters which can be fitted and therefore a general mathematical description of the bond law is restricted. In this study an analytical model is derived which allows the calculation of a load displacement distribution of a pull-out test on basis of a general mathematical description on the bond stress versus slip relation, assuming a N-piecewise linear bond law with no limitation of N. A short introductory example is given, which clarifies the proposed solution routine and it is shown that a simulation based on the proposed model fits the experimental results of pull-out tests very well.