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Stress is the load per unit area acting within a material. It can be thought of as the internal resistive response of a material to an externally applied pressure.
Strain is the change in shape of an object in response to external pressure or internal stress. To complicate matters, strain causes the transmission of stress through an object (as in simple terms the strain causes an internal "movement" causing one part of the inside of an object to press against the material next to it generating stress in this region, this in turn can cause more strain and so on!).
There are a number of differing types of strain, for example axial strain is defined as the change in length relative to the original length of an object (e.g. a steel wire being stretched). This change in shape is also called deformation. Volumetric strain occurs when an object is squashed or pulled on all sides leading to a change in volume.
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What is the resistance to stress-induced strain called?
The resistance to stress-induced strain is called "stiffness." Stiffness measures how much an object deforms under an applied load, reflecting its ability to resist deformation. In materials science, this is often quantified by the modulus of elasticity, which indicates the relationship between stress (force per unit area) and strain (deformation) in a material.
What is the difference between E and nu in engineering geology?
E is generally taken to be the elastic constant known as Young's modulus which describes the relationship between axial stress and axial strain where Hooke's law still applies (i.e. linear elasticity). Nu is Poisson's ratio which is the relationship between axial strain and radial or transverse strain. For more information, please see the related link.
What is relastion between strees and strain?
no because stress depends on the force and area of the element
Why the engineering stress-strain curve in shear is the same as the true stress-strain curve?
The engineering stress-strain curve in shear is the same as the true stress-strain curve because, in shear, the definitions of stress and strain do not change significantly with the material's deformation. True stress accounts for the instantaneous area under load, while engineering stress uses the original area; however, in shear, the relationship remains linear up to the yield point, and the area reduction effect is minimal for typical shear tests. Thus, both curves reflect the same material behavior in shear deformation, leading to equivalent representations.
Is the ratio of stress-strain in the region below the proportional limit on the stress-strain curve?
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
What is the relationship between stress and strain according to Hooke's Law?
According to Hooke's Law, the relationship between stress and strain is linear. This means that the amount of stress applied to a material is directly proportional to the resulting strain it experiences. In other words, as stress increases, strain also increases in a predictable and proportional manner.
What is the relationship between stress and strain in materials under mechanical deformation?
The relationship between stress and strain in materials under mechanical deformation is described by Hooke's Law, which states that stress is directly proportional to strain. This means that as a material is subjected to a force (stress), it will deform (strain) in a predictable and linear manner. The relationship between stress and strain helps engineers and scientists understand how materials behave under different conditions and can be used to predict their mechanical properties.
How does the relationship between stress and strain affect the behavior of materials under mechanical loading?
The relationship between stress and strain determines how materials respond to mechanical forces. Stress is the force applied to a material, while strain is the resulting deformation. When a material is subjected to stress, it deforms or changes shape, which is known as strain. The behavior of materials under mechanical loading is influenced by how they respond to stress and strain. Materials can exhibit different properties such as elasticity, plasticity, and brittleness based on their stress-strain relationship.
How does the field of physics explain the relationship between stress and strain in materials?
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.
What does the strain vs stress graph reveal about the relationship between strain and stress in a material under mechanical loading?
The strain vs stress graph shows how a material responds to mechanical loading. It reveals that as stress increases, strain also increases, but not necessarily in a linear manner. The relationship between strain and stress can vary depending on the material's properties and behavior under different loading conditions.
What is the stress vs strain formula used to calculate the relationship between the applied force and resulting deformation in a material?
The stress vs strain formula is used to calculate the relationship between the applied force and resulting deformation in a material. It is expressed as stress force/area and strain change in length/original length.
What is the relationship between compression stress and strain in materials under load?
Compression stress is the force applied to a material that causes it to compress, while strain is the resulting deformation or change in shape of the material. The relationship between compression stress and strain in materials under load is typically linear, meaning that as the stress increases, the strain also increases proportionally. This relationship is described by the material's compression modulus, which is a measure of its stiffness under compression.
What is the relationship between stress and strain in the field of physics?
In physics, stress is the force applied to an object, while strain is the resulting deformation or change in shape. The relationship between stress and strain is described by the material's stiffness, known as Young's modulus. This relationship helps scientists understand how materials respond to external forces and can be used to predict their behavior under different conditions.
What is the relationship between volume strain and the deformation of a material under stress?
Volume strain refers to the change in volume of a material when it is subjected to stress. When a material is deformed under stress, it can experience volume strain, which is the result of the material's particles moving closer together or farther apart. The relationship between volume strain and deformation is that as the material deforms, its volume may change due to the stress applied to it.
How does the strain experienced by a material relate to the stress applied to it?
The strain experienced by a material is directly related to the stress applied to it. When stress is applied to a material, it causes deformation or change in shape, which is known as strain. The relationship between stress and strain is described by the material's elastic properties, such as Young's Modulus. This relationship helps determine how a material will respond to external forces.
What is the stress vs strain equation used to determine the relationship between the applied force and resulting deformation in a material?
The stress vs strain equation, also known as Hooke's Law, is used to determine the relationship between the applied force and resulting deformation in a material. It is expressed as stress E strain, where stress is the force applied to the material, strain is the resulting deformation, and E is the material's Young's Modulus, which represents its stiffness.
What is the relationship between the stress and strain in a rubber band as depicted on its stress-strain curve?
The stress-strain curve of a rubber band shows how the stress (force applied) and strain (deformation) are related. Initially, as stress increases, strain also increases proportionally. This is the elastic region where the rubber band returns to its original shape when the stress is removed. However, beyond a certain point, the rubber band reaches its limit and starts to deform permanently, known as the plastic region. The relationship between stress and strain on the curve helps us understand the material's behavior under different conditions.
