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How Do Different Failure Criteria Apply to Normal Stress and Shear Stress in Materials?

When we look at how materials can fail, it's interesting to see how different kinds of stress affect them.

  1. Normal Stress (σ\sigma): This kind of stress happens when something is pulled or squeezed along a line. Here, we really care about Tensile Strength. We often talk about something called the Yield Criterion. This helps us figure out when a material might start to bend or break. Two common yield criteria are the von Mises and Tresca criteria.

  2. Shear Stress (τ\tau): Shear stress is all about forces that try to slide parts of the material against each other. In this case, we need to look at Shear Strength. We usually check this using similar yield criteria, but we focus on maximum shear stress.

In short, knowing how these different stresses work helps us create materials that won’t break under different types of pressure. This is super important in engineering!

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How Do Different Failure Criteria Apply to Normal Stress and Shear Stress in Materials?

When we look at how materials can fail, it's interesting to see how different kinds of stress affect them.

  1. Normal Stress (σ\sigma): This kind of stress happens when something is pulled or squeezed along a line. Here, we really care about Tensile Strength. We often talk about something called the Yield Criterion. This helps us figure out when a material might start to bend or break. Two common yield criteria are the von Mises and Tresca criteria.

  2. Shear Stress (τ\tau): Shear stress is all about forces that try to slide parts of the material against each other. In this case, we need to look at Shear Strength. We usually check this using similar yield criteria, but we focus on maximum shear stress.

In short, knowing how these different stresses work helps us create materials that won’t break under different types of pressure. This is super important in engineering!

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