Kinematic yield design computational homogenization of micro-structures using the stabilized iRBF mesh-free method

DOI10.1016/J.APM.2020.09.056zbMath1481.74633OpenAlexW3091921360MaRDI QIDQ2056568

Yanyan Li

Publication date: 8 December 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.09.056

zbMATH Keywords

computational homogenizationconic programmingyield designintegrated radial basis function

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)

Uses Software

• Mosek

Cites Work

• Unnamed Item
• Microscopic limit analysis of cohesive-frictional composites with non-associated plastic flow
• Approximation of function and its derivatives using radial basis function networks
• Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design
• Elastic plastic shakedown of 3D periodic heterogeneous media: a direct numerical approach
• Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method
• Limit analysis of composite materials based on an ellipsoid yield criterion
• Limit analysis of plates using the EFG method and second-order cone programming
• Limit analysis of ductile composites based on homogenization theory
• An efficient indirect RBFN‐based method for numerical solution of PDEs

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