A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures

• Published in: Computational mechanics Vol. 63; no. 1; pp. 1 - 22
• Main Authors: Peng, Heng, Liu, Yinghua, Chen, Haofeng
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2019; Springer; Springer Nature B.V
• Subjects: Algorithms; Classical and Continuum Physics; Computational Science and Engineering; Elastoplasticity; Engineering; Finite element method; Iterative methods; Mathematical programming; Matrix methods; Original Paper; Residual stress; Robust control; Robustness (mathematics); Shakedown analysis; Stiffness matrix; Stress distribution; Theoretical and Applied Mechanics; Direct method; Elastoplastic structures; Large-scale; Stress compensation method; Shakedown analysis

In this paper, a novel direct method called the stress compensation method (SCM) is proposed for limit and shakedown analysis of large-scale elastoplastic structures. Without needing to solve the specific mathematical programming problem, the SCM is a two-level iterative procedure based on a sequenc...