Keywords:rubber, stress analysis, stress effects, internal stresses, stress-strain relations, shear deformation, Young's modulus, Poisson ratio, shear modulus, reviews
The paper by Horton, Tupholme, and Gover (1) analyzes the deformation behavior of rubber using the isotropic, infinitesimal strain theory of elasticty for an incompressible material. Accordingly, the Poisson’s ratio and Young’s modulus is three times the shear modulus . In this setting, the stresses determine the (infinitesimal) strains , but the strains only determine the stresses up to a hydrostatic pressure. Hence, the strains determine the shear stresses and also determine the normal stress differences. The strains follow from the displacements in the usual fashion . In their analysis of a rectangular block with Cartesian coordinates
, 2002, “
M. J. C.
Axial Loading of Bonded Rubber Blocks,”
ASME J. Appl. Mech.0021-8936,
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by American Society of Mechanical Engineers