A Mixed Triangular Element for the Elasto-plastic Analysis of Kirchhoff Plates
نویسندگان
چکیده
A triangular mixed finite element model for the elasto-plastic analysis of Kirchhoff plates is presented. The proposed discretization is based on rigid in bending elements connected by means of rotational springs between the inter-element sides and constant bending moments on the influence area of each node. The continuity of the normal bending moment through the sides allows a standard Hellinger-Reissner formulation. The advantages are related to a reasonable accuracy and a very simple element algebra. Some numerical results, obtained by using extremal path theory and the arc-length strategy, allow an analysis of the element’s performance in the evaluation of the collapse load.
منابع مشابه
A Finite Volume Formulation for the Elasto-Plastic Analysis of Rectangular Mindlin-Reissner Plates, a Non-Layered Approach
This paper extends the previous work of authors and presents a non-layered Finite Volume formulation for the elasto-plastic analysis of Mindlin-Reissner plates. The incremental algorithm of the elasto-plastic solution procedure is shown in detail. The performance of the formulation is examined by analyzing of plates with different boundary conditions and loading types. The results are illustrat...
متن کاملNew DKFT Elements for the Finite Element Analysis of Thin Viscoelastic Plates
In this paper, finite element analysis of thin viscoelastic plates is performed by proposing new plate elements using complex Fourier shape functions. New discrete Kirchhoff Fourier Theory (DKFT) plate elements are constructed by the enrichment of quadratic function fields in a six-noded triangular plate element with complex Fourier radial basis functions. In order to illustrate the validity...
متن کاملAnalysis of a Mixed Finite Element Method for Elasto-Plastic Plates*
We consider a mixed finite element method for finding approximations of the displacement and moments in a thin elastic-perfectly plastic plate. Under some weak assumptions concerning the regularity of the exact solution, we prove an error estimate for the moments.
متن کاملA Mixed Stabilized Finite Element Formulation for Strain Localization Analysis
This work exploits the concept of stabilization techniques to improve the behaviour of either mixed or p u / mixed u / ε linear/linear triangular elements when strain localization analysis is required. Different stabilization methods suitable for either Mode-I or Mode-II structural failure are proposed and compared to check the global stability of the corresponding discrete finite element formu...
متن کاملElasto-Plastic Finite Element Evaluation of Flexible Pavements Based on Shakedown Concept
In this paper, three-dimensional elasto-plastic finite element analysis was performed on flexible pavements under vertical repeated traffic loads to evaluate their shakedown behavior. Six different pavements with different structural number (SN) were modeled and subjected to a wide range of cyclic vehicle loads. Shakedown limits were obtained considering both failure and serviceability restrain...
متن کامل