Abstract
Conventional three-dimensional isoparametric elements are susceptible to problems of locking when used to model plate/shell geometries or when the meshes are distorted etc. Hybrid elements that are based on a two-field variational formulation are immune to most of these problems, and hence can be used to efficiently model both “chunky” three-dimensional and plate/shell type structures. Thus, only one type of element can be used to model “all” types of structures, and also allows us to use a standard dual algorithm for carrying out the topology optimization of the structure. We also address the issue of manufacturability of the designs.
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References
Altair Engineering Inc., Altair OptiStruct: User’s manual.
Bendsøe, M.P. and Sigmund, O., Topology Optimization-Theory, Methods and Applications, Springer Verlag, Berlin (2003).
Fernandes, P., Guedes, J.M. and Rodrigues, H., Topology optimization of three-dimensional linear elastic structures with a constraint on “perimeter”, Computers and Structures, 73, 583–594 (1999).
Haber, R.B., Jog, C.S. and Bendsøe, M.P., A new approach to variable-topology shape design using a constraint on the perimeter, Structural Optimization, 11, 1–12 (1996).
Borrvall, T. and Petersson, J., Large-scale topology optimization in 3D using parallel computing, Computer Methods in Applied Mechanics and Engineering, 190, 6201–6229 (2001).
Beckers, M., Topology optimization using a dual method with discrete variables, Structural Optimization, 17, 14–24 (1999).
Beckers, M., Dual methods for discrete structural optimization problems, International Journal for Numerical Methods in Engineering, 48, 1761–1784 (2000).
Jog, C.S., A robust dual algorithm for topology design of structures in discrete variables, International Journal for Numerical Methods in Engineering, 50(7), 1607–1618 (2001).
Jog, C.S., Topology design of structures using a dual algorithm and a constraint on the perimeter, International Journal for Numerical Methods in Engineering, 54(7), 1007–1019 (2002).
Zhou, M., Shyy, Y.K. and Thomas, Y.L., Checkerboard and minimum member size control in topology optimization, Structural and Multidisciplinary Optimization, 21, 152–158 (2001).
Jog, C.S., A 27-node hybrid brick and a 21-node hybrid wedge element for structural analysis, Finite Elements in Analysis and Design, 41, 1209–1232 (2005).
Pian, T.H. and Tong, P., Relations between incompatible displacement model and hybrid stress model, International Journal for Numerical Methods in Engineering, 22, 173–181 (1986).
Jog, C.S., Higher-order shell elements based on a Cosserat model, and their use in the topology design of structures, Computer Methods in Applied Mechanics and Engineering, 193, 2191–2220 (2004).
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Jog, C.S. (2006). Topology Design of Three-Dimensional Structures Using Hybrid Finite Elements. In: Bendsøe, M.P., Olhoff, N., Sigmund, O. (eds) IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Solid Mechanics and Its Applications, vol 137. Springer, Dordrecht . https://doi.org/10.1007/1-4020-4752-5_4
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DOI: https://doi.org/10.1007/1-4020-4752-5_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4729-9
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