In structural engineering, material integrity is a critical factor in ensuring safety and durability. However, what kind of material defects will become potential structural risks and affect the service life and performance of an object? These defects often lead to stress concentration and thus cause structural failure.
Stress concentration means that the stress at a specific location of an object is significantly higher than that in the surrounding area. This phenomenon is mostly caused by irregularities in the material's geometry or defects in the material itself.
Stress concentrations typically occur at geometric discontinuities in an object, such as holes, grooves, notches, and certain sharp edges. These discontinuities cause an interruption in the stress flow, resulting in significantly higher stresses at that location than in the surrounding areas. For example, the stress concentration factor for a circular hole in an infinite plate can be expressed as Kt=3, which means that the minimum stress can reach three times its nominal stress. This causes the material to fatigue and fail more quickly in areas of high stress.
Material defects can come from a variety of sources, including internal cracks, porosity in welds, or even small burrs or scratches introduced during the production process. These defects can become hotbeds of stress concentration during cyclic loading, leading to the occurrence of fatigue cracks.
“Failure of most materials is usually caused by stress concentrations, so these defects must be specially considered during design.”
The factors that lead to stress concentration and material failure mainly include material defects, contact stress, thermal stress and geometric discontinuity. First, material defects are a challenge when designing because we usually assume that materials should be consistent and homogeneous. However, the actual situation is often that there are microscopic cracks, pores, or other internal defects, which will lead to uneven distribution of stress.
Mechanical components are subject to concentrated stresses at specific points or small areas. This can result in local areas with significantly higher stresses than elsewhere. This is particularly evident at the contact points of gears or in the contact areas of ball bearings.
In addition, the influence of thermal stress cannot be ignored. The expansion and contraction of different parts due to temperature changes may cause stress concentration inside the structure. Geometric discontinuities, such as steps or shoulders on shafts, or even threads and keyways, can cause stress concentrations in a design.
In structural design, it is very important to understand the stress concentration factor Kt. This factor is defined as the ratio of the maximum stress to the nominal stress and is often used in engineering references. Many engineers use finite element analysis or other computational methods to predict these stress concentrations.
“During the design phase, stress concentration factors can be estimated through a variety of methods, including direct measurement and calculation methods.”
There are also some experimental methods for measuring stress concentration factors, such as photoelastic stress analysis, thermoelastic stress analysis, etc. These methods enable stress assessment of components in real applications and identification of weak points.
To reduce the risks posed by stress concentrations, engineers use a variety of techniques to smooth the flow of stress. It is common practice to remove material from high stress areas to create a smoother transition. For example, drilling a hole at the end of a crack can increase the effective radius of the crack tip, thereby reducing stress concentration. In addition, strengthening the material around the hole or optimizing the shape, such as changing a circular hole to an oval, can also help reduce stress gradients.
The application of functionally graded materials, which use materials with gradually changing properties to make components, can usually better control the distribution of stress and extend the life of the structure. However, the selection of the best reduction strategy is often closely related to the specific geometry and load scenario.
Some catastrophic events in the past were actually caused by stress concentration. For example, the crash of the De Havilland Comet aircraft was found to be related to the shape of the holes and windows designed at that time. Long-term fatigue and accumulated stress concentration lead to the formation of cracks and ultimately to structural failure.
“Stress concentration in the material not only affects the sustainability of the function, but also directly affects the safety of the user.”
Therefore, paying attention to and controlling these potential structural hazards during the design and manufacturing process is undoubtedly extremely important for improving the durability and safety of products. In this context, the selection of materials and the improvement of design need to continue to receive attention and research.
So, can we also recognize these material defects in our daily lives and improve them in future designs?