BRITTLE FRACTURE IN CERAMICS AND GLASSES
Fracture is the separation of a material into two or more pieces under the action of an applied stress. A material may undergo one of two major types of fracture modes depending on its mechanical properties: ductile and brittle.
Materials undergoing ductile fracture first experience plastic deformation, i.e., the material resists the fracture by stretching itself. Imagine pulling on two ends of a plastic bag. The bag stretches by a considerable amount before it eventually tears. This plastic deformation, which is not limited to polymers, is also seen in metal alloys.
Materials that undergo brittle fracture, on the other hand, will fracture with negligible plastic deformation. In other words, they break without warning.
Regardless of the type of fracture, during failure a material will experience:
- Crack formation, where all fractures start, and
- Propagation of the crack, in response to the applied stress
In ductile fractures, this crack is stable, i.e., it will undergo continuous deformation, only propagating when more stress is applied. As such, ductile materials will typically deflect by a significant amount before they fail, thus giving warning before they fracture entirely.
On the other hand, when cracks form under brittle fracture, they propagate across the material instantaneously; thus, failure can occur with little to no warning. This is one of the characteristics that makes brittle failure so undesirable, especially in applications such as building construction.
BRITTLE FRACTURE
Brittle vs. Ductile Fracture
Fracture involves the forced separation of a material into two or more parts. Brittle Fracture involves fracture without any appreciable plastic deformation (i.e. energy absorption). Ductile Fracture in the converse and involves large plastic deformation before separation. The difference between brittle and ductile fracture is illustrated in figures 1 and 2. Remembering that the area under the σ - ε curve, Fig. 1, represents energy, we can see that much less energy is expended in brittle fracture than in ductile fracture.
The Mechanics of Brittle and Ductile Fracture
Ductile Fracture (Cup-and-cone Fracture)
Most metals and metal alloys are ductile by nature. One of the main characteristics of ductile fracture is a phenomenon known as necking. During necking, the material's cross-section gradually reduces before fracture occurs. The separated ends of the fractured material adopt a concave and convex shape. Hence, ductile fracture is commonly called the cup-and-cone fracture. The stages in the cup-and-cone formation are:
- The ductile material undergoes necking
- Micro-voids start to form perpendicular to the stress direction
- The micro-voids coalesce to form a crack
- The crack propagates
- The material eventually fractures (a cup and cone form at the top and bottom respectively)
Brittle Fracture
In brittle fracture, no noticeable deformation is observed since crack propagation is instantaneous. This propagation is almost purely perpendicular to the direction of the tensile stress, compared to ductile fracture, which produces cup- and cone-like shapes.
While brittle fracture has a distinctive shape, different materials may exhibit unique characteristics. For example, in brittle steel, V-shaped markings are usually found in the center of the fractured cross-section. On the other hand, for amorphous materials like ceramic glasses, the surface of the fractured cross-section may have a smooth, shiny appearance.
Factors That Affect the Fracture of a Material
Engineers must understand the mechanics of different types of fractures to inform material selection and mitigate potential catastrophic failures. Some of the critical factors that affect material fracture include:
Stress Concentrations
For most brittle materials, the measured fracture strength is much lower than the predicted theoretical value based on the atomic bonding energies in the material. This is due to the presence of microscopic cracks and other flaws in the material's cross-section. These stress risers must, therefore, be accounted for when calculating fracture strength. (Related reading: Calculating Tensile Stress: Why It Needs to Be Done Now.)
The location of the applied load must also be taken into account. Consider a cylindrical material with an elongated crack (flaw) in its cross-section. The maximum stress it can handle before it undergoes fracture is measured on the crack tip and is dependent on the applied stress and the physical properties of the crack. However, applying the load away from the crack may alter the measured fracture strength.
Fracture Toughness
Fracture toughness is the resistance of a material to applied stress when a crack is present. This parameter is dependent on:
- The critical stress for crack propagation
- The crack length
- The crack geometry
For thin specimens, fracture toughness also depends on its thickness. However, fracture toughness becomes less of an influential factor in thick materials.
How to Test Impact Fractures
The two most commonly used impact tests are the Charpy impact test and Izod impact test.
To perform these tests, a hammer is attached to a pendulum, which applies an impact force to the test specimen. The hammer is first raised to its starting position then released, hitting the specimen during its downward motion. Because some of the hammer's energy is absorbed by the sample, the pendulum swings to a smaller maximum height on the opposite side. The difference between the maximum heights of the hammer before and after impacting the specimen is used to calculate the impact energy. The only difference between Charpy and Izod is the way the specimen is loaded.
Conclusion
A fracture is simply the separation of a material into several pieces due to an applied stress. Fractures are subdivided into two major types: ductile fractures and brittle fractures. The type of fracture that a material will undergo depends mainly on its ability to deform before it cracks.
For both these fractures, failure begins with crack formation, which progresses to crack propagation and eventually separation.
It is crucial for engineers and designers to understand the mechanics behind material fractures to ensure that selected materials perform as intended in their given environment.
Three modes of fracture:
- Mode I – Opening mode (a tensile stress normal to the plane of the crack),
- Mode II – Sliding mode (a shear stress acting parallel to the plane of the crack and perpendicular to the crack front), and
- Mode III – Tearing mode (a shear stress acting parallel to the plane of the crack and parallel to the crack front).
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