Abstract
The physical meanings of finite strain (rate) tensors are captured clearly by their representations in the embedded (convected) coordinate system as will be described in the subsequent chapters, since the components in the primary bases are kept constant. The embedded coordinate system changes to a curvilinear coordinate system even if it is the rectangular coordinate system at the initial state of deformation process. Then, mathematics in the general curvilinear coordinate system, that is, the primary and the reciprocal base vectors, the representations and the coordinate transformations of vector and tensor, the metric tensor, the scalar, the vector, and the tensor products, etc. are addressed in this chapter prior to the explanation for the description of deformation in the convected coordinate system in the subsequent chapters.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
