Kinematics
Motion and Deformation
Abstract
This chapter discusses the kinematics of a continuum. The reader is first introduced to the fundamental concepts of body, configuration, and motion, with the motion taking the body from its reference configuration to its present configuration. Special attention is devoted to developing the Lagrangian (referential) and Eulerian (spatial) descriptions of a quantity and showing that they are nothing more than labels: in the Lagrangian description, each particle is labeled by its position in the reference configuration, whereas in the Eulerian description, each particle is labeled by its position in the present configuration. The material derivative is introduced, from which fundamental definitions ...
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