Abstract
The mechanics of solids involves the motion of continuous, deformable solid material when acted on by applied forces. In the present chapter, we examine the geometry or kinematics of this motion without regard for the actual forces required to produce it. In particular, we associate a material point, or particle, with each geometric point of the material and take as our problem that of describing the geometry involved in the motion of these particles. Such considerations will lead us, in turn, to the well-known concepts of deformation, strain, and rotation in the neighborhood of a material point.
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Selected Reading
Truesdell, C., and R. A. Toupin, “The Classical Field Theories,” in Encyclopedia of Physics, Vol. III/l. Springer-Verlag, Berlin, 1960. A monumental treatise on continuum theory, including detailed historical remarks. Motion and deformation are discussed in Chapter B.
Eringen, A. C., Nonlinear Theory of Continuous Media. McGraw-Hill Book Co., New York, 1962. An advanced treatment of continuum mechanics. Chapters 1 and 2 provide a detailed discussion of the kinematics of continuum motion.
Frederick, D., and T. S. Chang, Continuum Mechanics. Allyn and Bacon, Boston, Massachusetts, 1965. A readable introductory text on continuum mechanics. Chapter 3 gives a discussion of the analysis of deformation.
Malvern, L. E., Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, Englewood Cliffs, New Jersey, 1969. Chapter 4 gives a thorough discussion of strain and deformation using Cartesian tensor notation.
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© 1976 Plenum Prees, New York
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Dawson, T.H. (1976). Kinematics of Continuum Motion. In: Theory and Practice of Solid Mechanics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4277-9_2
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DOI: https://doi.org/10.1007/978-1-4613-4277-9_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4279-3
Online ISBN: 978-1-4613-4277-9
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