The Influence of an Initial Stress on the Non-Linear Response of Submerged Cylindrical Shells

摘要

This work assesses the influence of an initial stress field on the non-linear, elastic-plastic response of a submerged isotropic cylindrical shell to transient acoustic loading. Whereas analytical solutions have been obtained for the linear response of such shells to simple temporal and spatial loadings, numerical solutions must be used for the more general case. The Doubly Asymptotic Approximation (DAA) when used in conjunction with the finite element method has been shown to good results for the elastic response of submerged general structures to transient acoustic loadings. However, these methods have just recently been applied to the non-linear case. The approach taken by this work is numerical and in particular applies the USA-STAGS code which combines the finite element method for the linear case, then we evaluate the effect of both geometric and material non-linearities on the response of submerged cylindrical shells. We then assess the influence of an initial stress field on the non-linear response. Particular consideration is given to the amplification of individual modes by the initial stress field. (Author)