Multiscale structural topology optimization with an approximate constitutive model for local material microstructure

By Liang Xia, Piotr Breitkopf. 2015

193 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/54f461bfadbf1ab5785ef8159b85ae6c921e844f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Qiuling Xia
2. Liang Xia
3. Xiaodong Huang
4. Yi Min Xie
5. Zhen Luo
6. Zhan Kang
7. Krishnan Suresh
8. Ramana V. Grandhi

In Computational Theory and Mathematics

1. Qiuling Xia
2. Xiaodong Huang
3. Liang Xia
4. Yi Min Xie
5. Zhan Kang
6. Zhen Luo
7. Akihiro Takezawa
8. Jikai Liu

In Mechanics of Materials

1. Qiuling Xia
2. Liang Xia
3. Xiaodong Huang
4. Yi Min Xie
5. Zhan Kang
6. Krishnan Suresh
7. Zhen Luo
8. Jikai Liu

Citations in the corpus

• Current and future trends in topology optimization for additive manufacturing (2018, background): “…Guo et al. 2015; Deng et al. 2013; Fujii et al. 2001; Zhang and Sun 2006; Liu et al. 2008) and heterogeneous (Coelho et al. 2008, 2011; Rodrigues et al. 2002; Xia and Breitkopf 2014, 2015; Wang et al. 2017c; Sivapuram et al. 2016) lattice infill have been studied through the two-scale optimization.”
• Micro‐macro concurrent topology optimization for nonlinear solids with a decoupling multiscale analysis (2018, unknown): “Here, RM is the residual force vector of the macroscopic FE equilibrium equation defined with the nodal internal and external force vectors that are respectively defined as Fint = ∫B0 B T 0 P̄MdΩ, Fext = ∫𝜕B0 N TT̂MdΓ, (17) in which T̂M is the macroscopic traction force vector applied on the extern”
• Deep Generative Modeling for Mechanistic-based Learning and Design of Metamaterial Systems (2020, background): “State-of-the-art multiscale designs of systems with periodic microstructures [9-14] rely on nested optimization frameworks that are computationally demanding and do not scale to heterogeneous designs.”
• Topology optimization for functionally graded cellular composites with metamaterials by level sets (2018, background): “In engineering, the effect of loading and boundary conditions of the macrostructure upon the microstructure [27-32] should also come into the picture in the topological design of FGMs.”
• Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “56 FE(2)-based simultaneous design of structure and the underlying pointwise material microstructures with the use of NEXP approximation for the generalized nonlinear constitutive behavior [148] Fig.”