Stress describes the intensity of loading and is defined by Force/Area. Think of it in terms of, this piece of concrete has a strength of 25N/mm2 ie each mm2 can carry up to 25N of load. Strain is a deformation due to loading and is defined as (change in length)/original length
Think of stress as bending or pushing down upon an object, where as strain is more like stretching a rubber-band almost to its limit, or the stress of a bridge holding up.
The expression for the energy density in terms of stress and strain can be expressed as ρe.
In physics, stress is the force applied to a material, while strain is the resulting deformation or change in shape. The relationship between stress and strain in materials is explained by the concept of elasticity, which describes how materials respond to stress by deforming and returning to their original shape when the stress is removed. This relationship is typically represented by a stress-strain curve, which shows how a material deforms under different levels of stress.
see the following questionWhat_the_difference_between_true_strain_and_engineering_strain
stress strain curve details
Wherever there is stress there is strain. In the example you noted, if heated bar expands freely without one end constained it changes its strain without stress; that strain is called eigenstrain. If the same bar is held rigidly then the eigenstrain resisted and you get stress and strain. So stress cannot exist without strain; but strain can exist without stress if it is eigenstrain.
To calculate strain energy in a material, you can use the formula: Strain Energy 0.5 x Stress x Strain. Stress is the force applied to the material, and strain is the resulting deformation. Multiply stress and strain, then divide by 2 to find the strain energy.
To calculate strain from stress, you can use the formula: Strain Stress / Young's Modulus. Stress is the force applied to an object, while Young's Modulus is a measure of the stiffness of the material. By dividing the stress by the Young's Modulus, you can determine the strain, which is the amount of deformation the material undergoes in response to the stress.
To find strain from stress in a material, you can use the formula: Strain Stress / Young's Modulus. Young's Modulus is a measure of the stiffness of a material. By dividing the stress applied to the material by its Young's Modulus, you can calculate the resulting strain.
stress is load per unit area; when an object is loaded it is under stress and strain and it stretches (strains) until it breaks at its ultimate strength. Stress i srelated to strain in the elastic region by Hooke's law: stress = elastic modulus times strain where modulus is a property of the material and strain is deflection over length
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
The strain gage indicates strain, and the stress is from Hooke's law; stress = modulus times strain so you need to know the modulus of elasticity