Abstract
Continuum mechanics or mechanics of continuous media seeks to develop predictive mathematical models of material behavior relating the applied forces (mechanical and other types) to the material deformation and motion. In this chapter, we begin our study with a brief discussion on a few fundamental issues related to the theories pursued. Some basic material issues along with the continuum hypothesis will be discussed. An explanation for the need of tensors is given in an effort to justify our study and use of this important mathematical formalism. A brief overview of the general structure of continuum mechanics is given to provide an overall perspective of the field that we will explore in detail. The chapter ends with a little history outlining the major developments of this broad and encompassing field of study.
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