Vijayakumar, K and Ashoka, JG (1990) A Bilinear Constitutive Model for Isotropic Bimodulus Materials. In: Journal of Engineering Materials and Technology, 112 (3). pp. 372-379.Full text not available from this repository.
Proper formulation of stress-strain relations, particularly in tension-compression situations for isotropic biomodulus materials, is an unresolved problem. Ambartsumyan's model  and Jones' weighted compliance matrix model  do not satisfy the principle of coordinate invariance. Shapiro's first stress invariant model  is too simple a model to describe the behavior of real materials. In fact, Rigbi  has raised a question about the compatibility of bimodularity with isotropy in a solid. Medri  has opined that linear principal strain-principal stress relations are fictitious, and warned that the bilinear approximation of uniaxial stress-strain behavior leads to ill-working bimodulus material model under combined loading. In the present work, a general bilinear constitutive model has been presented and described in biaxial principal stress plane with zonewise linear principal strain-principal stress relations. Elastic coefficients in the model are characterized based on the signs of (i) principal stresses, (ii) principal strains, and (iii) on the value of strain energy component ratio ER greater than or less than unity. The last criterion is used in tension-compression and compression-tension situations to account for different shear moduli in pure shear stress and pure shear strain states as well as unequal cross compliances.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to The American Society of Mechanical Engineers.|
|Department/Centre:||Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)|
|Date Deposited:||06 Jan 2011 08:37|
|Last Modified:||06 Jan 2011 08:37|
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