THREE-DIMENSIONAL MODELING FOR THIN PLATE-LIKE STRUCTURES INCLUDING SURFACE EFFECTS BY USING STATE SPACE METHOD |
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| Authors: | Hongyu Sheng Pin Lu |
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| Institution: | 1. Institute of Civil Engineering, Hefei University of Technology, Hefei 230009, China;2. Institute of Materials Research and Engineering, A*STAR (Agency for Science, Technology and Research), 3 Research Link, Singapore 117602;1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China;2. Univ Lille Nord de France, F-59000 Lille, France;3. UVHC, IEMN-DOAE, F-59313 Valenciennes Cedex 9, France;4. CNRS, UMR 8520, F-59650 Villeneuve d''Ascq, France;5. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;6. ERSITA, Faculté Polydisciplinaire d''Ouarzazate, Univ. Ibn Zohr, 45000 Ouarzazate, Morocco;7. LMTI, Faculté des Sciences d''Agadir, Université Ibn Zohr, BP 28/S Agadir, Morocco;1. School of Maritime and Civil Engineering, Zhejiang Ocean University, Zhoushan 316022, China;2. Department of Civil Engineering, Shanghai University, Shanghai 200072, China;1. State University of Rio de Janeiro, Structural Engineering Department, Brazil;2. Pontifical Catholic University of Rio de Janeiro, Civil Engineering Department, Brazil |
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| Abstract: | T A three-dimensional(3-D)approach based on the state space method is proposed to study size-dependent mechanical properties of ultra-thin plate-like elastic structures considering surface effects.The structure is modeled as a laminate composed of a bulk bounded with upper and bottom surface layers,which are allowed to have different material properties from the bulk layer.State equations,including the surface properties of the structure,can be established on the basis of 3-D fundamental elasticity to analyze the size-dependent static characteristics of the thin plate-like structure.Compared with two-dimensional plate theories based size-dependent models for thin film structures in literature,the present 3-D approach is exact,which can provide benchmark results to assess the accuracy of 2-D plate theories and various numerical approaches.To show the feasibility of the proposed approach,a 3-D analytical solution for a simply supported plate-like thin structure including surface layers is derived.An algorithm is proposed for the calculation of the state equations obtained to ensure that the numerical results can reveal the surface effects clearly even for extremely thin surface layers.Numerical examples are carried out to exhibit the surface effects and some discussions are provided based on the results obtained. |
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| Keywords: | micro-structures surface effects size-dependence state equation three-dimensional modeling |
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