Related Experiment Video
Updated: May 31, 2025
09:12
A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
Published on: June 28, 2015
8.5K
A Study on the Fracture of Brittle Heterogeneous Materials Using Non-Extensive Statistical Mechanics and the Energy
Dimos Triantis1, Ilias Stavrakas1, Ermioni D Pasiou2
1Electronic Devices and Materials Laboratory, Department of Electrical and Electronics Engineering, Faculty of Engineering, University of West Attica, Ancient Olive Grove Campus, Building B, 250 Thivon Avenue, 122 44 Athens, Greece.
Materials (Basel, Switzerland)
|January 25, 2025
Summary
Fracture in concrete is non-additive and non-extensive, especially with notches. Acoustic emission energy analysis confirms this using Non-Extensive Statistical Mechanics and the Tsallis entropic index.
Area of Science:
- Materials Science
- Statistical Mechanics
- Solid Mechanics
Background:
- Fracture in heterogeneous materials is complex.
- Acoustic emission is a key tool for studying fracture.
- Non-extensive statistical mechanics offers a framework for analyzing complex systems.
Purpose of the Study:
- To investigate the fracture process of concrete using Non-Extensive Statistical Mechanics.
- To analyze acoustic emission data based on signal energy content.
- To determine the influence of notches on material behavior.
Main Methods:
- Experimental testing of plain and fiber-reinforced concrete under bending.
- Analysis of acoustic emission signals focusing on energy content.
- Fitting Energy Distribution Functions using the Shcherbakov, Kuksenko, and Chmelet expression.
- Application of Non-Extensive Statistical Mechanics framework.
Main Results:
- Concrete fracture processes were found to be non-additive and non-extensive.
- Notches significantly influence material behavior, inducing non-additivity and non-extensivity early in loading.
- The Tsallis entropic index (q) values align with previous studies.
- A correlation between the Tsallis index (q) and acoustic signal energy was observed.
Conclusions:
- The study confirms the non-extensive nature of concrete fracture.
- Notches play a critical role in initiating non-extensive behavior.
- Acoustic emission energy analysis is a valid method for characterizing fracture in heterogeneous materials.
Related Concept Videos
01:24Stress-Strain Diagram - Brittle Materials
2.1K
Brittle materials, including glass, cast iron, and stone, exhibit unique characteristics. They fracture without considerable change in their elongation rate, indicating that their breaking and ultimate strength are equivalent. Such materials also show lower strain levels at the point of rupture. The failure in brittle materials predominantly results from normal stresses, as evidenced by the rupture created along a surface perpendicular to the applied load. These materials do not display...
2.1K
01:21Fatigue
172
Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
172
01:20Elastic Strain Energy for Shearing Stresses
156
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
156
01:20Strain-Energy Density
355
Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
355
00:58Plasticity
2.1K
Plasticity is the property where an object loses its elasticity and undergoes irreversible deformation, even after the deformation forces are eliminated. If a material deforms irreversibly without increasing stress or load, then this is called ideal plasticity. For example, when a force is applied to an aluminum rod, it changes its shape, but it does not return to its original shape once the force is removed. Plastic deformation or ductility is thus a permanent deformation or change in the...
2.1K
01:25Yield Criteria for Ductile Materials under Plane Stress
140
In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
The Maximum Shearing Stress Criterion, also known as...
140