Multiphase material topology optimization of Mindlin-Reissner plate with nonlinear variable thickness and Winkler foundation |
Banh, Thanh T.
(Department of Architectural Engineering, Sejong University)
Nguyen, Xuan Q. (Department of Architectural Engineering, Sejong University) Herrmann, Michael (Department of Civil and Environmental Engineering, University of California) Filippou, Filip C. (Department of Civil and Environmental Engineering, University of California) Lee, Dongkyu (Department of Architectural Engineering, Sejong University) |
1 | Bagherinejad, M.H. and Haghollahi, A. (2018), "Topology optimization of steel plate shear walls in the moment frames", Steel Compos. Struct, 29(6), 771-783. https://doi.org/10.12989/scs.2018.29.6.771. DOI |
2 | Banh, T.T. and Lee, D. (2019), "Topology optimization of multi-directional variable thickness thin plate with multiple materials", Struct. Multidiscip. O., 59, 1503-1520. https://doi.org/10.1007/s00158-018-2143-8. DOI |
3 | Bathe, K.J. and Dvorkin, E. (1985), "A four node plate bending element based on Mindlin-Reissner plate theory and mixed interpolation", Int. J. Numer. Method. Eng., 21, 367-383. https://doi.org/10.1002/nme.1620210213. DOI |
4 | Belblidiaa, F., Lee, J.E.B, Rechakb. S. and Hinton, E. (2001), "Topology optimization of plate structures using a single- or three-layered artificial material model", Adv Eng Softw., 32(2), 159-168. https://doi.org/10.1016/S0045-7949(00)00141-3. DOI |
5 | Bendsoe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Struct. Multidiscip. O., 71, 197-224. http://dx.doi.org/10.1016/0045-7825(88)90086-2. |
6 | Crusells-Girona, M., Filippou, F.C. and Taylor, R.L. (2017) "A mixed formulation for nonlinear analysis of cable structures", Comput. Struct., 186, 50-61. https://doi.org/10.1016/j.compstruc.2017.03.011. DOI |
7 | Doan, Q.H. and Lee, D. (2017), "Optimum topology design of multi-material structures with nonspurious buckling constraints", Adv. Eng. Softw., 114, 110-120. https://doi.org/10.1016/j.advengsoft.2017.06.002. DOI |
8 | El-Sabbagh, A., Akl, W. and Baz, A. (2008), "Topology optimization of periodic Mindlin plates", Finite Elem. Anal. Des., 44(8), 439-449. https://doi.org/10.1016/j.finel.2008.01.016. DOI |
9 | Ferreira, A.J.M. (2009), The finite element method for solid and structural mechanics, Springer Science Business Media B.V. |
10 | Herrmann, M. and Sobek, W. (2017), "Functionally graded concrete: Numerical design methods and experimental test of mass-optimized structural components", Struct. Concrete, 18, 54-66. https://doi.org/10.1002/suco.201600011. DOI |
11 | Kobayashi, H. and Sonoda, K. (1989), "Rectangular Mindlin plates on elastic foundations", Int. J. Mech.. Sci., 31(9), 679-692. https://doi.org/10.1016/S0020-7403(89)80003-7. DOI |
12 | Lee, D. and Shin, S. (2016), "Evaluation of optimized topology design of cross-formed structures with a negative pooisson's ratio", Iran. J. Sci. Technol., Transact. Civil Eng., 40(2), 109-120. DOI |
13 | Lieu, X.Q. and Lee, J. (2017), "A multi-resolution approach for multi-material topology optimization based on isogeometric analysis", Comput. Method. Appl. M., 323, 272-302. https://doi.org/10.1016/j.cma.2017.05.009. DOI |
14 | Roodsarabi, M., Khatibinia, M. and Sarafrazi, S.R. (2016), "Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization", Steel Compos. Struct., 21(6), 1287-1306. https://doi.org/10.12989/scs.2016.21.6.1287. DOI |
15 | Luo, Q. and Tong, L. (2017), "A deformation mechanism-based material model for topology optimization of laminated composite plates and shells", Compos. Struct., 159, 246-256. https://doi.org/10.1016/j.compstruct.2016.09.056. DOI |
16 | Nguyen, P.A., Banh, T.T., Lee, D., Lee. J., Kang, J. and Shin, S. (2017), "Design of multiphase carbon fiber reinforcement of crack existing concrete structures using topology optimization", Steel Compos. Struct., 29(5), 625-645. https://doi.org/10.12989/scs.2018.29.5.635. |
17 | Reddy, J.N. (2006), An introduction to the finite element method- Mc GrawHill. |
18 | Goo, S., Wang, S., Hyun, J. and Jung, J. (2016), "Topology optimization of thin plate structures with bending stress constraints", Comput. Struct., 175, 134-143. https://doi.org/10.1016/j.compstruc.2016.07.006. DOI |
19 | Sigmund, O. and Torquato, S. (1997), "Design of materials with extreme thermal expansion using a three-phase topology optimization method", J. Mech. Phys. Solids, 45, 1037-1067. https://doi.org/10.1016/S0022-5096(96)00114-7. DOI |
20 | Rozvany, G.I.N., Querin, O.M., Gaspar, Z. and Pomezanski, V. (2002), "Extended optimality in topology design", Struct. Multidiscip. O., 24 (24), 257-261. https://doi.org/10.1007/s00158-002-0235-x. DOI |
21 | Sun, J., Tian, Q., Hu, H. and Pedersen, N.L. (2019), "Topology optimization or eigenfrequencies of a rotating thin plate via moving morphable components", J. Sound Vib., 448, 83-107. https://doi.org/10.1016/j.jsv.2019.01.054. DOI |