Concurrent topological design of composite thermoelastic macrostructure and microstructure with multi-phase material for maximum stiffness
Source abstract
Abstract
A method for the multi-scale design of composite thermoelastic macrostructure and periodic microstructure with multi-phase materials is proposed. A concurrent topology optimization model of macrostructure and microstructure is established, where the objective is to maximize the macrostructural stiffness subject to volume constraints on the macro-material distribution and phase materials. Based on the material interpolation scheme of the solid isotropic material with penalization (SIMP), the sensitivity of the mean compliance of the composite macrostructure with respect to design variables on two scales, i.e., macro and micro scales, is derived. The optimization problem is solved using a bi-directional evolutionary structural optimization (BESO) method and the corresponding optimization procedure for the concurrent topology optimization is proposed. Several examples are presented to demonstrate the effectiveness of the proposed method.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Composite Material Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (30)
Show source-provided references
1. A homogenization method for shape and topology optimization10.1016/0045-7825(91)90245-2 ↗
2. Topology optimization in magnetic fields using the homogenization design method10.1002/1097-0207(20000810)48:10<1463::AID-NME952>3.0.CO;2-5 ↗
3. Topology optimization for minimum stress design with the homogenization method
4. Topology optimization of resonating structures using SIMP method10.1002/nme.484 ↗
5. A note on the theoretical convergence properties of the SIMP method10.1007/s00158-004-0479-8 ↗
6. A level set method for structural topology optimization10.1016/S0045-7825(02)00559-5 ↗
7. Level set based structural topology optimization for minimizing frequency response10.1016/j.jsv.2011.07.026 ↗
8. Stress-related topology optimization via level set approach
9. A simple evolutionary procedure for structural optimization10.1016/0045-7949(93)90035-C ↗
10. Bidirectional evolutionary topology optimization for structures with geometrical and material nonlinearities10.2514/1.25046 ↗
11. Optimal design of periodic structures using evolutionary topology optimization10.1007/s00158-007-0196-1 ↗
12. Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials10.1007/s00466-008-0312-0 ↗
13. Topology optimization approaches a comparative review10.1007/s00158-013-0978-6 ↗
14. Optimal damping layout in a shell structure using topology optimization10.1016/j.jsv.2013.01.029 ↗
15. Topology optimization of damping layers for minimizing sound radiation of shell structures10.1016/j.jsv.2012.12.022 ↗
16. Evolutionary topology optimization of periodic composites for extremal magnetic permeability and electrical permittivity10.1007/s00158-012-0766-8 ↗
17. Multiscale modeling and topology optimization of poroelastic actuators10.1088/0964-1726/21/6/065005 ↗
18. A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials10.1016/j.cma.2012.04.022 ↗
19. Topological optimization for the design of microstructures of isotropic cellular materials10.1080/0305215X.2012.737781 ↗
20. Topology optimization for the design of periodic microstructures composed of electromagnetic materials10.1016/j.finel.2008.10.006 ↗
21. A topology optimization method for design of negative permeability metamaterials10.1007/s00158-009-0416-y ↗
22. Topology optimization of microstructures of cellular materials and composites for macrostructures10.1016/j.commatsci.2012.09.018 ↗
23. Scale-related topology optimization of cellular materials and structures10.1002/nme.1743 ↗
24. Concurrent material and structural optimization of hollow plate with truss-like material10.1007/s00158-007-0124-4 ↗
25. Multi-scale design of composite materials and structures for maximum natural frequencies10.1016/j.matdes.2013.05.014 ↗
26. Concurrent topology optimization of structures and their composite microstructures10.1016/j.compstruc.2013.12.001 ↗
27. Concurrent design of composite macrostructure and cellular microstructure under random excitations10.1016/j.compstruct.2014.10.037 ↗
28. Concurrent design of composite macrostructure and multi-phase material microstructure for minimum dynamic compliance10.1016/j.compstruct.2015.03.057 ↗
29. An alternative interpolation model for minimum compliance topology optimization10.1007/s001580100129 ↗
30. Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material10.1007/s00158-012-0849-6 ↗