Abstract
A new elasto-plastic thin-shell finite element of the absolute nodal coordinate formulation allowing for large deformation and finite rotation is proposed based on the Kirchhoff–Love theory and layered plastic model. The von Mises yield criterion of plane-stress with linear isotropic hardening is adopted in constitutive description of elasto-plastic material. Owing to the plane-stress constraint, special treatment should be given to the stress update algorithm for plasticity. To accommodate the plasticity formulation, the Gauss-point layered integration is inserted into the thickness of the element to produce the internal force. Then, the Jacobian of internal forces is deduced by deriving the consistent elasto-plastic tangent moduli. To accurately track the load–displacement equilibrium path in the buckling analysis of elasto-plastic thin shells, the arc-length method is used. The dynamics of the thin shells is also studied by using the generalized-alpha algorithm. Finally, several static and dynamic examples are presented to verify the accuracy of the proposed formulation.
Highlights
Thin-shell structures have found important applications in various fields, such as aerospace, mechanical, and civil engineering
On the basis of the Kirchhoff-Love theory, an elasto-plastic thin-shell element of absolute nodal coordinate formulation (ANCF) is proposed to describe elasto-plastic thin-shell systems subject to the large deformations coupled with large overall motions
The layered approach and the von Mises plastic model of plane-stress with isotropic hardening are applied in the study
Summary
Thin-shell structures have found important applications in various fields, such as aerospace, mechanical, and civil engineering. When the internal stress state of a thin-shell structure exceeds its yield stress, plastic strain begins to develop and gives rise to the problem of material nonlinearity. In this case, a nonlinear analysis becomes necessary to make the simulation of the structural behavior more realistic. The conceptual simplicity is inherited from the three-dimensional or planestress plasticity model, which enables the use of the standard return-mapping algorithm This approach has a higher computational cost because of the integration through the thickness [9]. This study aims to develop the layered approach in order to obtain more accurate results and make it easier to shift from the problem of small strains to that of finite strains
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