Topology optimization of auxetic microstructures with isotropic and orthotropic multiple materials based on element-free Galerkin method

DOI10.1016/J.ENGANABOUND.2024.105811MaRDI QIDQ6583857

Zhijian Zuo, Jianping Zhang, Shixiong Wu, Zhiqiang Zhang, Haiming Zhang, Shuying Wu, Shu-Guang Gong

Publication date: 6 August 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

element-free Galerkin methodtopology optimizationenergy-based homogenization methodauxetic microstructuresisotropic and orthotropic multiple materials

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Topology optimization for free vibrating continuum structures based on the element free Galerkin method
• Generating optimal topologies in structural design using a homogenization method
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Multi-component topology and material orientation design of composite structures (MTO-C)
• Shape and topology optimization considering anisotropic features induced by additive manufacturing processes
• Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
• Stress-based and robust topology optimization for thermoelastic multi-material periodic microstructures
• Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill
• Topology optimization of functionally graded anisotropic composite structures using homogenization design method
• An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications
• A review of homogenization and topology optimization I—homogenization theory for media with periodic structure

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