Viscoelastoplastic waves in the vicinity of nodal points of anisotropic shells

A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

“…At the same time, under heavy dynamic loads, the study problem becomes essentially nonlinear both from the standpoint of geometry (occurrence of finite displacements, rotations and strains) and of physics (occurrence of irreversible plastic strains). Earlier [6], similar problems taking into account the both types of nonlinearity were considered for bodies of rotation that exhibit a cylindrical orthotropy. As far as is know, nonlinear dynamic problems on the influence of the spiral reinforcement structure on the SSS of thick-walled hollow elastoplastic cylindrical bodies have not been considered.…”

“…The aim of the present paper is to generalize the methods [5,6] to the case of the axisymmetrical dynamic loading of thick-walled multilayer spirally orthotropic elastoplastic cylinders taking into account the geometrical and physical nonlinearities, as well as to study the effect of various reinforcement configurations and nonlinearity types on the SSS of thick-walled single-and two-layer cylindrical shells subjected to the action of the axisymmetric pulse loading.…”

“…The procedure is used sufficiently widely; in particular, in [5][6][7] it is shown that within the mathematical model used, the Wilkins finite-difference scheme makes it possible to carry out computations with adequate accuracy at both small and large strains, of the order of 100% and higher. Since real composites and structures made of them lose their load-carrying capacity at much smaller strains, the procedure can be used for any loads up to and including those of failure.…”

“…The method is based on the Wilkins finite-difference scheme that is explicit in time and integral interpolating in space. Here, the procedure [5] debugged for finite strains (including plastic ones) in accordance with the approach given in [6] was used as the basis.…”

“…Thus, the validity of the proposed computational procedure is justified using the traditional mathematical formulations of boundary-value problems in the continuum mechanics [7][8][9][10] and well-proven and tested numerical algorithms [5][6][7]. The procedure is used sufficiently widely; in particular, in [5][6][7] it is shown that within the mathematical model used, the Wilkins finite-difference scheme makes it possible to carry out computations with adequate accuracy at both small and large strains, of the order of 100% and higher.…”