Dynamic behaviors of load-carrying capacity of brittle materials

An explicit analytic expression for the dynamic tensile load-carrying capacity of brittle materials under a quadratic tensile pulse loading is deduced together with the structural-temporal failure criterion, and the obtained numerical results are in good agreement with previous experimental data. According to the analytical solution, the dynamic tensile load-carrying capacity can be determined completely without recurring to any dynamic material parameters. Moreover, the dynamic tensile load-carrying capacity is shown to depend strongly on the structure of boundary loading as well as the loading-material interaction, which suggests that the so-called strain-rate effect on the material strength could not be considered as an intrinsic material property anymore. Furthermore, it is found that the dynamic increasing factor is dependent not only on the strain-rate, but also on the quasistatic tensile strength as well as the strain history experienced by the material. Additionally, it is demonstrated that there exists an intrinsic scatter nature of the experimental data for the dynamic strength besides some types of observational errors, and the scatter interval can be predicated by using the obtained analytical solution, which is also in good agreement with the opened experimental data.