Riv.Mat.Univ.Parma (5) 4 (1995)


Deformazini finite in solidi elastici omogenei e isotropi

Pages 205-218
Received: 18 July 1995  
AMS Classification: 73G05

Abstract Cylindrical expansions or compactions, with axial stretching, are controllable deformations for three particular classes of homogeneous and isotropic materials, studied by Carroll, when the strain energy function depends on the principal invariants of the right Cauchy-Green tensor C, and not of the stretch tensor V as Carroll supposes, if they reduce to a simple proportionality between the actual and the reference radial coordinates. We note that, with the new strain energy function, Carroll's solutions must reduce naturally to our solution. At last, if we assigne this deformation, we show that it is compatible with any form of the enery function, whose arguments are the principal invariants of C.

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