Topology Optimization of Fluid-Structure-Interaction Problems in Poroelasticity

作者: Casper Schousboe Andreasen , Ole Sigmund

DOI: 10.1016/J.CMA.2013.02.007

关键词: Topology optimizationStokes flowPoromechanicsFinite element methodStructural engineeringShape optimizationMechanicsMathematicsShock absorberFluid–structure interactionFlow (mathematics)

摘要: Abstract This paper presents a method for applying topology optimization to fluid–structure interaction problems in saturated poroelastic media. The relies on multiple-scale applied periodic resulting model couples the Stokes flow pores of structure with deformation elastic skeleton through macroscopic Darcy-type law. allows impose pressure loads static one way coupling, while transient are fully coupled modeling between fluid and solid. material distribution is determined by order optimize performance shock absorber test loading capabilities an internally pressurized lid.

参考文章(42)
O. Sigmund, On the Optimality of Bone Microstructure Synthesis in Bio Solid Mechanics, IUTAM. pp. 221- 234 ,(1999) , 10.1007/0-306-46939-1_20
Bogdan Vernescu, Chiang C. Mei, Homogenization methods for multiscale mechanics ,(2010)
Martin P. Bendsøe, Ole Sigmund, Topology Optimization: Theory, Methods, and Applications ,(2011)
Enrique Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory ,(1980)
Byung-Soo Kang, Gyung-Jin Park, Jasbir S. Arora, A review of optimization of structures subjected to transient loads Structural and Multidisciplinary Optimization. ,vol. 31, pp. 81- 95 ,(2006) , 10.1007/S00158-005-0575-4
Tyler E. Bruns, Daniel A. Tortorelli, Topology optimization of non-linear elastic structures and compliant mechanisms Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 3443- 3459 ,(2001) , 10.1016/S0045-7825(00)00278-4
Chau Le, Tyler E. Bruns, Daniel A. Tortorelli, Material microstructure optimization for linear elastodynamic energy wave management Journal of The Mechanics and Physics of Solids. ,vol. 60, pp. 351- 378 ,(2012) , 10.1016/J.JMPS.2011.09.002
O. Sigmund, P.M. Clausen, Topology optimization using a mixed formulation: An alternative way to solve pressure load problems Computer Methods in Applied Mechanics and Engineering. ,vol. 196, pp. 1874- 1889 ,(2007) , 10.1016/J.CMA.2006.09.021
JoséMiranda Guedes, Noboru Kikuchi, None, Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods Applied Mechanics and Engineering. ,vol. 83, pp. 143- 198 ,(1990) , 10.1016/0045-7825(90)90148-F