Basis functions for residual stresses
作者：
Highlights：
• New basis functions for general residual stress states in arbitrary solid bodies.
• The basis functions are eigenfunctions from a new extremization problem.
• Some two dimensional finite element as well as semi analytical solutions are shown.
• Extension to three dimensions is straightforward.
• A formal proof is given to show that the eigenfunctions form a basis.
摘要
•New basis functions for general residual stress states in arbitrary solid bodies.•The basis functions are eigenfunctions from a new extremization problem.•Some two dimensional finite element as well as semi analytical solutions are shown.•Extension to three dimensions is straightforward.•A formal proof is given to show that the eigenfunctions form a basis.
论文关键词：Residual stresses,Basis functions,Interpolation functions
论文评审过程：Received 13 January 2020, Revised 14 April 2020, Accepted 14 June 2020, Available online 6 July 2020, Version of Record 6 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125468
