Abstract
We consider a homogeneous, isotropic, hyperelastic solid, containing a crack. The body is supposed to be strongly deformed in a particular way. We show that the resonance phenomenon can appear, the incremental fields becoming unbounded in the whole prestressed body. We also show that the asymptotic behaviour of the incremental fields in a small neighbourhood of the crack tips has the same character as in the case of a linear isotropic or anisotropic elastic body without initial deformations and stresses. This fact contradicts the result obtained by Guz. A careful analysis shows that Guz's result reduces to that previously obtained, even if the boundary value problem considered by Guz does not represent correctly the initial mechanical problem concerning the crack. We also give the explanation of this apparent paradox.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call