## Abstract

In the previous chapter, we considered certain geometric concepts associated with the motion of a continuous medium. We now wish to consider the set of mechanical laws that are customarily assumed to govern the actual continuum motion. These laws express the well-known mechanical principles of conservation of mass, balance of linear momentum, and balance of angular momentum.

## Keywords

Angular Momentum Linear Momentum Momentum Balance Stress Vector External Torque
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## Selected Reading

- Malvern, L. E.,
*Introduction to the Mechanics of a Continuous Medium.*Prentice-Hall, Englewood Cliffs, New Jersey, 1969. Chapters 3 and 5 give detailed discussions of stress and governing continuum equations. Section 5.3 also provides a discussion of the governing equations referred to material coordinates rather than to spatial coordinates, as employed here.Google Scholar - Frederick, D., and T. S. Chang,
*Continuum Mechanics.*Allyn and Bacon, Boston, Massachusetts, 1965. Chapter 2 provides a discussion of stress and Chapter 4 gives a concise derivation of the local forms of mass conservation and momentum balance.Google Scholar - Fung, Y. C.,
*Foundations of Solid Mechanics.*Prentice-Hall, Englewood Cliffs, New Jersey, 1965. Chapters 3 and 5 give thorough discussions of stress and conservation and balance laws.Google Scholar - Long, R. R.,
*Mechanics of Solids and Fluids.*Prentice-Hall, Englewood Cliffs, New Jersey, 1961. Chapter 2 introduces the concept of stress and provides an elementary derivation of the local forms of the balance of linear and angular momentum.MATHGoogle Scholar - Truesdell, C., and R. A. Toupin, “The Classical Field Theories,” in
*Encyclopedia of Physics*, Vol III/l. Springer-Verlag, Berlin, 1960. Chapter B discusses conservation of mass and Chapter D presents the general theory of momentum.Google Scholar - Truesdell, C.,
*Essays in the History of Mechanics.*Springer-Verlag, Berlin, 1968. Beautifully written essays on the early history of mechanics and the development of its general principles.MATHGoogle Scholar

## Copyright information

© Plenum Prees, New York 1976