Non-fitting theoretical models for the fracture properties of concretes subjected to high temperature

The fracture properties of concretes, which are often characterized by the tensile fracture strength, compressive fracture strength, fracture energy and characteristic length are closely related to temperature. However, there are still few systematic theoretical models of temperature -dependent fracture properties of concretes. In this work, a series of novel temperature-dependent theoretical models are developed to determine the fracture properties of concretes based on the force-heat equivalence energy density principle and classical concrete fracture theories. The models establish the quantitative relationship between the high-temperature tensile fracture strength, compressive fracture strength and characteristic length, and the basic material param-eters including the Young's modulus and melting point. It is worth noting that this work quan-titatively characterizes the fracture properties of concretes subjected to high temperatures using the simple material parameters, without the need to carry out any data fitting. The fracture properties of concretes with different aggregate types, different fiber-reinforced concretes, and ordinary Portland cement-based concretes are predicted and systematically analyzed using the proposed models. The model-predicted tensile fracture strength, compressive fracture strength and characteristic length of materials up to 800 degrees C agree well with the experimental measure-ments without using any fitting parameters. The coincidence rate at many temperature points could reach up to and above 90%, even approaching about 100%. The fracture properties of concretes and their main mechanisms at various temperatures thus can be depicted by using the developed models. Additionally, this work offers a new and simple testing method to determine the characteristic length of concretes and its change with temperature.

Automated summary

This study develops a series of novel temperature-dependent theoretical models based on the force-heat equivalence energy density principle and classical concrete fracture theories to determine the fracture properties of concretes. The models establish a quantitative relationship between the high-temperature tensile fracture strength, compressive fracture strength, and characteristic length of concretes and the basic material parameters. The fracture properties of concretes with different aggregate types, fiber-reinforced concretes, and ordinary Portland cement-based concretes are predicted and analyzed using the proposed models, showing good agreement with experimental measurements.