The elastoplastic analysis of functionally graded materials using a meshfree RRKPM

作者:

Highlights:

• The RRKPM for elastoplastic problem of FGMs is proposed.

• Combining with the Galerkin weak form, the corresponding formulae are derived.

• The different functional gradient indexes are analyzed.

• The scaling factor, the loading steps and the node distributions are discussed.

• The RRKPM has excellent accuracy and convergence.

摘要

•The RRKPM for elastoplastic problem of FGMs is proposed.•Combining with the Galerkin weak form, the corresponding formulae are derived.•The different functional gradient indexes are analyzed.•The scaling factor, the loading steps and the node distributions are discussed.•The RRKPM has excellent accuracy and convergence.

论文关键词:Functionally graded materials,Elastoplastic problem,Meshfree approach,Radial basis functions,Reproducing kernel particle method

论文评审过程:Received 29 October 2020, Revised 2 August 2021, Accepted 31 August 2021, Available online 17 September 2021, Version of Record 17 September 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126651