A constitutive formulation to elastic media having different Young's moduli and Poisson's values in tension and compression Online publication date: Mon, 20-Aug-2007
by Zhi-Ming Ye, Benqi Guo, Huanran Yu
International Journal of Modelling, Identification and Control (IJMIC), Vol. 2, No. 3, 2007
Abstract: This paper presents a new formulation of constitutive equations to different Young's moduli in tension and in compression. Historically, the theories of different Young's moduli gave the characteristics of the same Poisson's values in tension and in compression although the Young's moduli are different in tension and in compression. This could lead to incompatibility between the normal stress and the shear stress in the unit element. In order to overcome this incompatibility, it is necessary to use the theory of fundamental continuum mechanics to modify the material constitutive relationship, to ensure any assumptions made in deriving the basic equations are consistent.
Online publication date: Mon, 20-Aug-2007
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