Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries

DOI10.1016/j.cma.2019.112760zbMath1441.74144OpenAlexW2996399787MaRDI QIDQ2175112

C. G. Méndez, R. Yera, S. Toro, N. Rossi, Alfredo Huespe

Publication date: 28 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/174733

zbMATH Keywords

auxetic3D elastic metamaterials3D microarchitecture synthesispentamode and stiffest compositestopology design inspired by crystal symmetriestopology optimization algorithm

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Composite and mixture properties (74E30)

Related Items (2)

A robust topological derivative-based multi-material optimization approach: optimality condition and computational algorithm ⋮ Topological design of pentamode metamaterials with additive manufacturing

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• A new class of extremal composites
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials
• Symmetry considerations for topology design in the elastic inverse homogenization problem
• Near optimal pentamodes as a tool for guiding stress while minimizing compliance in \(3d\)-printed materials: a complete solution to the weak \(G\)-closure problem for \(3d\)-printed materials
• A new algorithm for topology optimization using a level-set method
• Simple algebraic approximations for the effective elastic moduli of cubic arrays of spheres
• Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures
• Analysis of a level set method for topology optimization
• Direct Elastic Imaging of a Small Inclusion
• Line search algorithms with guaranteed sufficient decrease
• Auxetic two-dimensional lattices with Poisson's ratio arbitrarily close to −1
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries