Elasticity in Engineering Mechanics (Boresi/Elasticity in Engineering Mechanics 3E) || Theory of Stress

✍ Scribed by Boresi, Arthur P.; Chong, Ken P.; Lee, James D.

• Publisher: John Wiley & Sons, Inc.
• Year: 2010
• Weight: 972 KB
• Category: Article
• ISBN: 0470402555
• DOI: 10.1002/9780470950005.ch3

✦ Synopsis

This chapter presents the three-dimensional theory of stress of a continuous medium. As in the theory of deformation, by a continuous medium we mean a material in which each volume of substance is sufficiently dense so that concepts such as mass density, temperature, stress, and so forth have meaning at every point in the region occupied by the material. The theory of stress rests upon Newton's laws, which are independent of the nature of materials that fall within the continuousmedium model. Consequently, the theory of stress developed here is applicable to all continuous media, regardless of their mechanical behavior of response to forces-that is, whether they behave elastically, plastically, viscoelastically, or in any other manner. The main part of the chapter is devoted to classical stress theory in which stress couples and body couples are neglected. A brief discussion of the concept of stress couples and body couples is presented in Appendix 3B. 1