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Elastic energy is the mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally deformed in any manner.
The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. These expressions for stored energy will then be used to solve some elasticity problems using the energy methods mentioned in the previous section.
Elastic Strain Energy. Work has to be done to stretch a material. Before a material reaches its elastic limit (whilst it obeys Hooke's Law), all the work is done is stored as elastic strain energy. The work done, or the elastic strain energy is the area under the force-extension graph.
Strain energy is the potential energy absorbed by the body due to the deformation or strain effect. It is denoted by the symbol uppercase letter ‘U’. The strain energy absorbed by the material is equal to the work required to create the deformation in the object.
Explain the concepts of stress and strain in describing elastic deformations of materials. Describe the types of elastic deformation of objects and materials. A model of a rigid body is an idealized example of an object that does not deform under the actions of external forces.
Elasticity is the property of complete and immediate recovery from an imposed displacement on release of the load, and the elastic limit is the value of stress at which the material experiences a permanent residual strain that is not lost on unloading.
Lecture 8: Energy Methods in Elasticity. The energy methods provide a powerful tool for deriving exact and approximate solutions to many structural problems. 8.1 The Concept of Potential Energy. From high school physics you must recall two equations. 1. E = Mv2 kinematic energy. 2. W = mgH potential energy. (8.1a) (8.1b)
