Assertion: strain causes stress in an elastic body. Reason: an elastic...
Yes Ved is right because “ Strain is the fundamental behaviour of body, and is the elementary cause of stress. ” here is the answer, firstly deformation occurs, at the moment (say deformation tends to zero), stress starts acting in the body to resist that deformation, and retain body structure.As also in case of thermal stresses, there is no external load applied, but body undergoes deformation first then stress start acting.So assertion is true. But reason is false because The greater the resistance to change, the greater is the elasticity of the material and the faster it comes back to its original shape or configuration when the deforming force is removed. Since an elastic rubber is less resistant, it's less elastic in nature. Because for a given stress, Elasticity is inversely proportional to Strain.
Assertion: strain causes stress in an elastic body. Reason: an elastic...
Introduction:
Strain and stress are two interconnected concepts that play a crucial role in understanding the behavior of elastic bodies. Strain refers to the deformation experienced by a material when subjected to an external force, while stress represents the internal resistance or force exerted by the material in response to the applied load. In the case of elastic bodies, strain and stress are directly related, and the assertion that strain causes stress in an elastic body holds true.
Explanation:
1. Definition of Elasticity:
Elasticity is a material property that determines how a substance deforms when subjected to external forces and how it recovers its original shape after the forces are removed. Elastic materials have the ability to undergo deformation under stress and return to their original shape when the stress is released.
2. Relationship between Strain and Stress:
Strain and stress are interconnected through the concept of Young's modulus, which quantifies the stiffness or rigidity of a material. Young's modulus (E) is defined as the ratio of stress (σ) to strain (ε) and is a constant for a given material.
Mathematically, this relationship can be expressed as:
E = σ / ε
This equation shows that stress is directly proportional to strain. Therefore, if strain increases, stress will also increase proportionally.
3. Elastic Behavior:
When an elastic body is subjected to an external force, it deforms under strain while maintaining its elastic properties. The material can store the energy from the applied stress and release it when the stress is removed. This behavior is due to the presence of intermolecular or interatomic forces within the material that act as springs, allowing the material to return to its original shape.
4. Elastic Rubber:
Rubber is known for its high elasticity. It possesses long polymer chains that can stretch and return to their original configuration. When rubber is subjected to strain, the polymer chains elongate and store potential energy. As a result, the rubber exerts an equal and opposite stress to counterbalance the applied strain, allowing it to regain its original shape when the strain is released.
Conclusion:
In conclusion, strain causes stress in an elastic body, and this relationship is evident in the behavior of elastic materials such as rubber. The elastic nature of rubber allows it to undergo deformation under strain and exert an equal and opposite stress to maintain its original shape. The interplay between strain and stress is fundamental to understanding the behavior of elastic bodies and their ability to store and release energy.