Microstructure topology optimization by targeting prescribed nonlinear stress-strain relationships
作者： Seongik Kim , Gun Jin Yun
DOI: 10.1016/J.IJPLAS.2020.102684
关键词:
摘要: Abstract In this paper, we proposed a new material design method by microstructure topology optimization. Novelty of the is to target whole nonlinear volume-averaged effective stress-strain curve representative volume element (RVE) rather than aiming specific values such as strength, stiffness or Poisson ratio. J2 plasticity model with linear isotropic hardening was chosen for local residuals. Global residuals are computed within finite framework Sensitivities objective function augmented and adjoint response vectors respect variables derived details their numerical computational procedures were also presented. Microstructure topologies showing two different targeted curves under uniaxial biaxial loadings obtained using moving asymptotes (MMA) optimization algorithm. Accuracy sensitivity computations verified examples demonstrated potential in applications multiscale
sci-hub.se 参考文章(91)
P.B. Nakshatrala, D.A. Tortorelli, Topology optimization for effective energy propagation in rate-independent elastoplastic material systems Computer Methods in Applied Mechanics and Engineering. ,vol. 295, pp. 305- 326 ,(2015) , 10.1016/J.CMA.2015.05.004
Junji Kato, Hiroya Hoshiba, Shinsuke Takase, Kenjiro Terada, Takashi Kyoya, Analytical sensitivity in topology optimization for elastoplastic composites Structural and Multidisciplinary Optimization. ,vol. 52, pp. 507- 526 ,(2015) , 10.1007/S00158-015-1246-8
Nik Petrinic, Fionn Dunne, Introduction to computational plasticity ,(2005)
Michael Bogomolny, Oded Amir, Conceptual design of reinforced concrete structures using topology optimization with elastoplastic material modeling International Journal for Numerical Methods in Engineering. ,vol. 90, pp. 1578- 1597 ,(2012) , 10.1002/NME.4253
Erik Andreassen, Jakob Søndergaard Jensen, Topology optimization of periodic microstructures for enhanced dynamic properties of viscoelastic composite materials Structural and Multidisciplinary Optimization. ,vol. 49, pp. 695- 705 ,(2014) , 10.1007/S00158-013-1018-2
G. I. N. Rozvany, M. Zhou, T. Birker, Generalized shape optimization without homogenization Structural Optimization. ,vol. 4, pp. 250- 252 ,(1992) , 10.1007/BF01742754
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
Stefan Schwarz, Kurt Maute, Ekkehard Ramm, Topology and shape optimization for elastoplastic structural response Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 2135- 2155 ,(2001) , 10.1016/S0045-7825(00)00227-9
Gun Jin Yun, Jamshid Ghaboussi, Amr S. Elnashai, Self-learning simulation method for inverse nonlinear modeling of cyclic behavior of connections Computer Methods in Applied Mechanics and Engineering. ,vol. 197, pp. 2836- 2857 ,(2008) , 10.1016/J.CMA.2008.01.021
K. Maute, S. Schwarz, E. Ramm, Adaptive topology optimization of elastoplastic structures Structural Optimization. ,vol. 15, pp. 81- 91 ,(1998) , 10.1007/BF01278493