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Research note on the elastic-plastic bending of rectangular plates: A new approach |
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| Institution: | 1. Herbert Gleiter Institute of Nanoscience, Nanjing University of Science and Technology, Nanjing 210094, China;2. Nano- and Heterogeneous Structural Materials Research Center, Nanjing University of Science and Technology, Nanjing 210094, China;3. China Science Lab, General Motors Global Research and Development, Shanghai 201206, China;4. Institute of Mechanics, Materials and Civil Engineering, UCLouvain, 1348 Louvain-la-Neuve, Belgium;1. School of Science, Dalian Minzu University, Dalian 116600, PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, PR China |
| Abstract: | The behaviour of thin rectangular plates when subjected to distributed transverse loading that produces plastic deformations is analysed in a relatively simple manner. The contour lines approach is used in conjunction with Ilyushin's theory for small plastic deformation. The governing nonlinear differential equations are solved using an iterative technique together with quadratic extrapolation scheme for linearisation and finite difference method for spatial discretisation. Some comparisons are made with previously obtained results as available in the literature. All details are explained by graphs. Numerical results show the accuracy and efficiency of this new approach. |
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