Page 38 - Mechanics of Asphalt Microstructure and Micromechanics

Introduction and Fundamentals for Mathematics and Continuum Mechanics 31

Weiner, J.H. (2002). Statistical Mechanics of Elasticity. Dover, New York.
rd
Zienkiewicz. O.C. (1977). The Finite Element Method. 3 Edition. McGraw-Hill UK Limited, New
York.
Zohdi, T.I. and Wriggers, P. (2005). Introduction to Computational Micromechanics. Lecture Notes
in Applied and Computational Mechanics, Vol.20, Springer-Verlag, Berlin.

Suggested Readings
This chapter is mainly based on the teaching notes of the author. These notes are pre-
pared following the presentations from two excellent textbooks by Malvern (1969) and
Mase and Mase (1991). Malverm (1969) gave excellent descriptions about the history of
the development of continuum mechanics and the physics of the concepts. The book by
Mase and Mase presented the major concepts in continuum mechanics in a concise and
mathematic manner. The problems for excises are also excellent. If readers need more
backgrounds, please read these two books. For convenience and connections, the sym-
bols adopted in this chapter are consistent with those used in these books.

References
Malvern, L.E. (1969). Introduction to the Mechanics of a Continuous Medium. Prentice-Hall Series
in Engineering of Physical Sciences, New Jersey.
Mase, G.E. and Mase, G.T. (1991). Continuum Mechanics for Engineers. CRC Press, Boca Raton.
Qin, Q.H. (2007). Green's Function and Boundary Elements of Multifi eld Materials. Elsevier Ltd.
Oxford.