Mechanics of Solids
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This chapter introduces some basic concepts in the mechanics of deformable bodies. We consider how lengths, areas, and volumes change during a deformation, and this leads to the important concept of strain. We then introduce stress and the equations of motion. To complete the mechanics formulation of problems, we also describe the constitutive (or material) behavior. This is a complicated and extensive subject; our interest, however, is elastic behavior because that is the operational regime for most structural materials. Staying within the elastic limit is an important consideration and so some consideration is given to failure theories.
KeywordsDeformation Gradient Cauchy Stress Virtual Work Cauchy Stress Tensor Virtual Displacement
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