- #1
hoomanya
- 90
- 0
Hi, Am I right in saying that if the gradient of displacement is negative then stress is negative as in a simple elastic case, sigma = E*du/dx? thanks.
Yes. It means that the rod is being compressed.hoomanya said:Hi, Am I right in saying that if the gradient of displacement is negative then stress is negative as in a simple elastic case, sigma = E*du/dx? thanks.
The relationship between displacement and stress is known as Hooke's Law, which states that the stress applied to a material is directly proportional to the resulting displacement.
As displacement increases, so does the amount of stress applied to a material. This means that the more a material is stretched or deformed, the more stress it will experience.
The relationship between displacement and stress is influenced by the properties of the material, such as its elasticity and stiffness, as well as the magnitude and direction of the applied force.
Understanding the relationship between displacement and stress is important in designing and analyzing structures and materials. It allows engineers and scientists to predict how a material will behave under different levels of stress and to ensure the safety and stability of structures.
No, displacement and stress are always connected through Hooke's Law. However, in some materials, such as fluids, the relationship between the two may not be linear and can become more complex.