Mase G.T., Mase G.E. Continuum mechanics for engineers

2nd Ed. — CRC Press, 1999. — 381 p.This text evolved from the course notes of an introductory graduate continuum mechanics course at Michigan State University, which was taught on a quarter basis. We feel that this text is well suited for either a quarter or semester course in continuum mechanics. Under a semester system, more time can be devoted to later chapters dealing with elasticity and fluid mechanics. For either a quarter or a semester system, the text is intended to be used in conjunction with a lecture course.
The mathematics employed in developing the continuum concepts in the text is the algebra and calculus of Cartesian tensors; these are introduced and discussed in some detail in Chapter Two, along with a review of matrix methods, which are useful for computational purposes in problem solving. Because of the introductory nature of the text, curvilinear coordinates are not introduced and so no effort has been made to involve general tensors in this work. There are several books listed in the Reference Section that a student may refer to for a discussion of continuum mechanics in terms of general tensors. Both indicial and symbolic notations are used in deriving the various equations and formulae of importance.