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Mechanics of Solids and Materials by Vlado Lubarda, Robert Asaro

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21 Forces and Energy in Elastic Systems

21.1 Free Energy and Mechanical Potential Energy

Elasticity is concerned with the state of deformation, stress, and resulting energy in bodies subject to applied loads, displacements, or, as illustrated by the chapters on dislocations, incompatible or discontinuous displacements. For example, two such sources of stress in a body are indicated in Fig. 21.4 as S and A. Because of the presence of A and S the internal energy and the Hemholtz free energy, i.e., the isothermal strain energy, are altered; in addition, the potential energy of external loading mechanisms responsible for traction, T, on the external surfaces, would have been altered as well. In considerations of equilibrium it is not enough to simply ...

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