Abstract
This chapter summarizes the basic notation and some fundamental concepts in continuum mechanics. This treatment is not intended to be comprehensive. Rather, the choice of a curvilinear coordinate vector expression of nonlinear continuum mechanics facilitates the treatment of the geometrically exact rod and shell models of Chapters 13 and 14. In particular, the high-level themes of a continuum body and its parameterization, motions of that body in time, the stress tensor, and a convective coordinates form of the momentum balance equations form a common departure point for those geometrically exact theories.
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