Kinematic Shakedown Analysis for Strain-Hardening Plates with the C^(1) Nodal Natural Element Method  

作　　者：Shutao Zhou Xiaohui Wang Yatang Ju 

机构地区：[1]Beijing Institute of Structure and Environment Engineering,Beijing,100076,China

出　　处：《Acta Mechanica Solida Sinica》2024年第5期786-797,共12页固体力学学报（英文版）

基　　金：supported by the Chinese Postdoctoral Science Foundation(2013M540934).

摘　　要：This paper proposes a novel numerical solution approach for the kinematic shakedown analysis of strain-hardening thin plates using the C^(1)nodal natural element method(C^(1)nodal NEM).Based on Koiter’s theorem and the von Mises and two-surface yield criteria,a nonlinear mathematical programming formulation is constructed for the kinematic shakedown analysis of strain-hardening thin plates,and the C^(1)nodal NEM is adopted for discretization.Additionally,König’s theory is used to deal with time integration by treating the generalized plastic strain increment at each load vertex.A direct iterative method is developed to linearize and solve this formulation by modifying the relevant objective function and equality constraints at each iteration.Kinematic shakedown load factors are directly calculated in a monotonically converging manner.Numerical examples validate the accuracy and convergence of the developed method and illustrate the influences of limited and unlimited strain-hardening models on the kinematic shakedown load factors of thin square and circular plates.

关 键 词：Shakedown analysis Kinematic theorem STRAIN-HARDENING Triangular sub-domain stabilized conforming nodal integration C^(1)nodal natural element method 

分 类 号：O34[理学—固体力学]