آمار
| تعداد نشریات | 31 |
| تعداد شمارهها | 1,029 |
| تعداد مقالات | 9,100 |
| تعداد مشاهده مقاله | 10,289,986 |
| تعداد دریافت فایل اصل مقاله | 8,526,185 |
An 8-Node Solid-Shell Finite Element based on Assumed Bending Strains and Cell-Based Smoothed Membrane Strains for Static Analysis of Plates and Shells | ||
| Journal of Applied and Computational Mechanics | ||
| دوره 6، Special Issue، اسفند 2020، صفحه 1335-1347 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.34192.2353 | ||
| نویسندگان | ||
| Thanh Chau-Dinh* 1؛ Nhat Le-Tran2 | ||
| 1Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam | ||
| 2Aurecon Vietnam Co., 72-74 Nguyen Thi Minh Khai Street, District 3, Ho Chi Minh City, Vietnam | ||
| چکیده | ||
| In this paper, a new 8-node solid-shell finite element is proposed. The transverse shear strains and transverse normal strains of the element are separately interpolated and related to the C0-displacement approximation at tying points to overcome the shear- and trapezoidal-locking phenomena. From the bending strain approximation suggested for degenerated shell elements, the assumed bending strains for the solid-shell element are firstly established. The membrane strains of the element are smoothed on domains defined by dividing the middle surface's element into 1, 2, 3 or 4 sub-cells in accordance with the cell-based strain smoothing (CS) technique. The formulations of the membrane stiffness matrices are explicitly integrated on the boundary lines of the smoothing sub-cells. The proposed CSn-Q8 element, in which n is the number of smoothing sub-cells, is verified through static analysis of several benchmark plate and shell problems. Numerical results show the improved performance of the CSn-Q8 element in comparison with other references. | ||
| کلیدواژهها | ||
| plates and shells؛ 8-node solid-shell element؛ assumed bending strains؛ cell-based smoothed membrane strains | ||
| مراجع | ||
|
[1] Yang, H.T.Y., Saigal, S., Masud, A., Kapania, R.K., A Survey of Recent Shell Finite Elements, International Journal for Numerical Methods in Engineering, 47, 2000, 101–127.
[2] Kulikov, G.M., Plotnikova, S.V., A Family of ANS Four-node Exact Geometry Shell Elements in General Convected Curvilinear Coordinates, International Journal for Numerical Methods in Engineering, 83, 2010, 1376–1406.
[3] Andelfinger, U., Ramm, E., EAS-elements for Two-dimensional, Three-dimensional, Plate and Shell Structures and their Equivalence to HR-elements, International Journal for Numerical Methods in Engineering, 36, 1993, 1311–1337.
[4] Bathe, K.-J., Dvorkin, E.N., A Formulation of General Shell Elements—The Use of Mixed Interpolation of Tensorial Components, International Journal for Numerical Methods in Engineering, 22, 1986, 697–722.
[5] Sze, K.Y., Yao, L.Q., A Hybrid Stress ANS Solid-shell Element and its Generalization for Smart Structure Modelling. Part I—Solid-shell Element Formulation, International Journal for Numerical Methods in Engineering, 48, 2000, 545–564.
[6] Kim, K.D., Liu, G.Z., Han, S.C., A Resultant 8-node Solid-shell Element for Geometrically Nonlinear Analysis, Computational Mechanics, 35, 2004, 315–331.
[7] Sussman, T., Bathe, K.-J., 3D-shell Elements for Structures in Large Strains, Computers & Structures, 122, 2013, 2–12.
[8] Mostafa, M., An Improved Solid-shell Element based on ANS and EAS Concepts, International Journal for Numerical Methods in Engineering, 108, 2016, 1362–1380.
[9] Su, Z., Xue, P., Tang, Y., An Improved Solid-shell Element based on the Computational Condensation Technique, International Journal of Mechanical Sciences, 141, 2018, 236–244.
[10] Choi, C.-K., Paik, J.-G., An Efficient Four Node Degenerated Shell Element based on the Assumed Covariant Strain, Structural Engineering and Mechanics, An International Journal, 2, 1994, 17–34.
[11] Ko, Y., Lee, P.-S., A 6-node Triangular Solid-shell Element for Linear and Nonlinear Analysis, International Journal for Numerical Methods in Engineering, 111, 2017, 1203–1230.
[12] Liu, G.R., Nguyen-Thoi, T., Smoothed Finite Element Methods, CRC Press, 2010.
[13] Nguyen-Van, H., Nguyen-Hoai, N., Chau-Dinh, T., Tran-Cong, T., Large Deflection Analysis of Plates and Cylindrical Shells by an Efficient Four-node Flat Element with Mesh Distortions, Acta Mechanica, 226, 2015, 2693–2713.
[14] Cui, X., Liu, G.-R., Li, G., Zhang, G., Zheng, G., Analysis of Plates and Shells using an Edge-based Smoothed Finite Element Method, Computational Mechanics, 45, 2009, 141–156.
[15] Nguyen-Thoi, T., Phung-Van, P., Thai-Hoang, C., Nguyen-Xuan, H., A Cell-based Smoothed Discrete Shear Gap Method (CS-DSG3) using Triangular Elements for Static and Free Vibration Analyses of Shell Structures, International Journal of Mechanical Sciences, 74, 2013, 32–45.
[16] Shin, C.M., Lee, B.C., Development of a Strain-smoothed Three-node Triangular Flat Shell Element with Drilling Degrees of Freedom, Finite Elements in Analysis and Design, 86, 2014, 71–80.
[17] Nguyen-Thoi, T., Phung-Van, P., Luong-Van, H., Nguyen-Van, H., Nguyen-Xuan, H., A Cell-based Smoothed Three-node Mindlin Plate Element (CS-MIN3) for Static and Free Vibration Analyses of Plates, Computational Mechanics, 51, 2012, 65–81.
[18] Chau-Dinh, T., Nguyen-Duy, Q., Nguyen-Xuan, H., Improvement on MITC3 Plate Finite Element using Edge-based Strain Smoothing Enhancement for Plate Analysis, Acta Mechanica, 228, 2017, 2141–2163.
[19] Élie-Dit-Cosaque, X.J.-G., Gakwaya, A., Naceur, H., Smoothed Finite Element Method Implemented in a Resultant Eight-node Solid-shell Element for Geometrical Linear Analysis, Computational Mechanics, 55, 2015, 105–126.
[20] Leonetti, L., Nguyen-Xuan, H., A Mixed Edge-based Smoothed Solid-shell Finite Element Method (MES-FEM) for Laminated Shell Structures, Composite Structures, 208, 2019, 168–179.
[21] Bathe, K.-J., Dvorkin, E.N., A Four-node Plate Bending Element based on Mindlin/Reissner Plate Theory and a Mixed Interpolation, International Journal for Numerical Methods in Engineering, 21, 1985, 367–383.
[22] Nguyen-Thanh, N., Rabczuk, T., Nguyen-Xuan, H., Bordas, S.P.A., A Smoothed Finite Element Method for Shell Analysis, Computer Methods in Applied Mechanics and Engineering, 198, 2008, 165–177.
[23] Lee, Y., Lee, P.-S., Bathe, K.-J., The MITC3+ Shell Element and its Performance, Computers & Structures, 138, 2014, 12–23.
[24] Macneal, R.H., Harder, R.L., A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements in Analysis and Design, 1, 1985, 3–20.
[25] Kim, K.D., Lomboy, G.R., Voyiadjis, G.Z., A 4-node Assumed Strain Quasi-conforming Shell Element with 6 Degrees of Freedom, International Journal for Numerical Methods in Engineering, 58, 2003, 2177–2200.
[26] Cook, R.D., Improved Two-dimensional Finite Element, Journal of the Structural Division, 100, 1974, 1851–1863.
[27] Taylor, R.L., Auricchio, F., Linked Interpolation for Reissner-Mindlin Plate Elements: Part II—A Simple Triangle, International Journal for Numerical Methods in Engineering, 36, 1993, 3057–3066.
[28] Morley, L.S.D., Skew Plates and Structures, Pergamon Press, Oxford, 1963.
[29] Scordellis, A.C., Lo, K.S., Computer Analysis of Cylindrical Shells, Journal of the American Concrete Institute, 61, 1964, 539–561.
[30] Fluge, W., Stress in shells, Berlin: Springer, 1960. | ||
|
آمار تعداد مشاهده مقاله: 697 تعداد دریافت فایل اصل مقاله: 537 |
||