Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))
Online ISSN : 2185-4661
ISSN-L : 2185-4661
Journal of Applied Mechanics Vol.19 (Special Feature)
FINITE STRAIN FORMULATION OF ELASTIC BODY BASED ON MULTIPLE SHEAR MECHANISM CONSIDERING GEOMETRICAL NONLINEARITY
Kyohei UEDASusumu IAI
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2016 Volume 72 Issue 2 Pages I_345-I_356

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Abstract
A new formulation of elastic body is proposed based on the concept of multiple shear mechanism referring to a strain space multiple shear mechanism model for geomaterials such as sands. In the proposed model, the relationship between the virtual simple shear strain and the virtual simple shear stress in the multiple shear mechanism is assumed to be linear or nonlinear considering the effect of strain softening. In addition, the formulation is written by both the material and spatial description based on the finite strain theory in order to consider the geometrical nonlinearity due to large deformation and rotation. Comparison between experiments for rubber materials under simple or pure shear condition and its simulation results demonstrates the capability of the proposed model even though only two model parameters (i.e., shear modulus of rigidity and shear strength in the virtual simple shear mechanism) are required to be specified.
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© 2016 by Japan Society of Civil Engineers
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