مقاله On large elastic deformation of prestressed right circular annular cylinders : تی پی بین

خلاصه مقاله

We formulate and study inflation, extension and twisting of prestressed cylindrical shells that are isotropic in the stress free configuration. We establish that if the prestresses vary only radially in the annular cylinder then a deformation field of the form

\overset{}{}

, θ=Θ+ΩZ

, z=λZ

is possible in annular cylinders made of any incompressible material and find sufficient conditions for the deformation to be possible when made of compressible materials. When the material is capable of undergoing large elastic deformations and has a non-linear constitutive relation, for the cases studied here, there is up to 26 percent variation in the boundary loads required to engender a given boundary displacement between the prestressed and stress free annular cylinders. On the other hand, the difference in the realized deformation field is only marginal (less than 2 percent). These are unlike the case wherein the material obeys Hooke's law and undergoes small deformations. This study has some relevance to the deformation of blood vessels.

نویسندگان

U. Saravanan [ Department of Civil Engineering, Indian Institute of Technology Madras, Chennai 600036, India ]

کلمات کلیدی

Prestresses Residual stress Inflation Extension Torsion Compressible Incompressible Elastic Large deformations

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International Journal of Non-Linear Mechanics

The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of research results in the various areas of theoretical and applied mechanics of solids, structures and fluids, where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics and vibrations, rheology, hydrodynamics, gas dynamics, magnetohydrodynamics, astrodynamics, control and stability, structures, as well as in other diverse areas. Papers may be analytical/computational or experimental. Mathematical treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized are also appropriate. Both deterministic and stochastic approaches are fostered. Contributions pertaining to applied fields are encouraged.

حوزه های تحت پوشش : non-linear problems in elasticity, plasticity, dynamics and vibrations