Paris' Law, SIF, and Swanson et al's Experiment

In summary, the conversation discusses various aspects of fatigue crack growth and its relationship to stress intensity factor (SIF). Paris' postulation and Swanson et al's experiment suggest that SIF controls both static and dynamic fracture. Furthermore, it is predicted and verified by experiments that crack growth rate decreases as crack length increases at constant stress. Additional sources and references are also mentioned, including Saxena et al's research and Hertzberg's book on deformation and fracture mechanics.
  • #1
bill nye scienceguy!
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The best I can come up with is Paris' postulation that if SIF controls static fracture then it's reasonable that it should also control dynamic fracture, the fact that Paris' law 'works', and Swanson et al's experiment that proved that if SIF is kept const the fatigue crack will grow a t a constant velocuty.

Any input?
 
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  • #2


Yes, and also the interesting prediction (and experimental verification) that crack growth rate should decrease as crack length increases at constant stress. Also see Saxena et al, J Test Eval 6, 167 (1978) and the chapter "Fatigue Crack Propagation" in Hertzberg's Deformation and Fracture Mechanics of Engineering Materials.
 

FAQ: Paris' Law, SIF, and Swanson et al's Experiment

What is Paris' Law and how is it relevant in material science?

Paris' Law is an equation that describes the propagation of fatigue cracks in materials. It relates the rate of crack growth to the stress intensity factor (SIF) and the material's properties. This law is important in material science as it helps engineers predict the lifetime of materials and design more durable structures.

What is the Stress Intensity Factor (SIF) and how is it calculated?

The Stress Intensity Factor (SIF) is a measure of the stress state at the tip of a crack in a material. It is calculated using a combination of the applied stress, the size and shape of the crack, and the material's properties. It is an important parameter in Paris' Law as it determines the rate of crack growth.

What was the purpose of Swanson et al's Experiment?

Swanson et al's experiment was conducted to study the fatigue behavior of aluminum alloys. They aimed to determine the relationship between the SIF and crack growth rates for different materials and loading conditions. This experiment provided valuable data for further research on fatigue crack growth.

How is Paris' Law used in engineering applications?

Paris' Law is used in engineering applications to predict the lifetime of materials and structures subjected to cyclic loading. By understanding the relationship between SIF and crack growth, engineers can design more reliable and durable products. The law is also used to study the effects of different parameters on crack growth and develop strategies for mitigating fatigue failure.

What are the limitations of Paris' Law?

One limitation of Paris' Law is that it is only applicable to materials that exhibit linear elastic behavior. It also assumes that the crack grows in a straight path. Additionally, the law is based on empirical data and may not accurately predict crack growth for all materials and loading conditions. Therefore, it is important to use caution when applying Paris' Law in real-world engineering applications and consider other factors that may affect crack growth.

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