Difference between pressure and stress

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SUMMARY

Pressure and stress are both defined as force per unit area, but their application varies based on context. Stress is used in scenarios involving deformation, such as stretching, while pressure is applied in contexts involving gases. The terms are essentially equivalent, with the distinction lying in their usage rather than their fundamental definitions. Mathematically, pressure represents the isotropic component of the stress tensor, making stress a more general term for describing deformation.

PREREQUISITES
  • Understanding of force and area concepts
  • Familiarity with stress and strain in materials science
  • Basic knowledge of tensor mathematics
  • Awareness of the physical properties of gases
NEXT STEPS
  • Research the mathematical formulation of the stress tensor
  • Explore the relationship between stress and strain in materials
  • Study the behavior of gases under pressure using the Ideal Gas Law
  • Investigate applications of stress and pressure in engineering contexts
USEFUL FOR

Students and professionals in physics, materials science, and engineering, particularly those focusing on mechanics and fluid dynamics.

PerpStudent
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Both pressure and stress are defined in terms of force per unit area. Beyond that simple relationship, what might constitute a good intuitive way to distinguish these two concepts?
 
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They are basically the same thing and the terms used tend to reflect context rather than physics. You would use 'Stress' when dealing with stretching etc, pressure when dealing with gases etc.
Similar 'problems' occur with Newton.metres which can mean work or energy (Joules) or moment as in turning effect and torque
 
truesearch said:
They are basically the same thing and the terms used tend to reflect context rather than physics. You would use 'Stress' when dealing with stretching etc, pressure when dealing with gases etc.
Similar 'problems' occur with Newton.metres which can mean work or energy (Joules) or moment as in turning effect and torque

Nm is strictly a unit of Moment. The 'Newtons times metres' that is used to calculate Work is the Scalar Product of two Vectors (Force and Displacement) and Nm should never be used to describe Work of Energy.

Pressure and stress, however, are totally equivalent and it's only the context that determines which term you want to apply to a situation. (It's not really a "problem")
 
PerpStudent said:
Both pressure and stress are defined in terms of force per unit area. Beyond that simple relationship, what might constitute a good intuitive way to distinguish these two concepts?

Stress is a little more general than pressure- one intuitive way to think about stress is to think about how a square can be deformed. The square can be made larger or smaller (uniform expansion/compression), but also be sheared into a rhombus shape (and combinations of expansion with shear as well).

'stress' is the most general way to describe any deformation, while pressure is restricted to the uniform expansion/compression. Mathematically, pressure is the isotropic component of the stress tensor.
 

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