Material Behavior—Linear Elastic Solids
The previous two chapters establish elasticity field equations related to the kinematics of small deformation theory and the equilibrium of the associated internal stress field. Based on these physical concepts, three strain-displacement relations (2.2.5), six compatibility equations (2.6.2), and three equilibrium equations (3.6.5) were developed for the general three-dimensional case. Because moment equilibrium simply results in symmetry of the stress tensor, it is not normally included as a separate field equation set. Also, recall that the compatibility equations actually represent only three independent relations, and these equations are needed only to ensure that a given strain field will produce ...
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