A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures
Peng, Heng and Liu, Yinghua and Chen, Haofeng (2019) A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures. Computational Mechanics, 63 (1). pp. 1-22. ISSN 0178-7675 (https://doi.org/10.1007/s00466-018-1581-x)
Preview |
Text.
Filename: Peng_etal_CM_2019_A_numerical_formulation_and_algorithm_for_limit_and_shakedown.pdf
Accepted Author Manuscript Download (2MB)| Preview |
Abstract
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 sequence of linear elastic finite element solutions where the global stiffness matrix is decomposed only once. In the inner loop, the static admissible residual stress field for shakedown analysis is constructed. In the outer loop, a series of decreasing load multipliers are updated to approach to the shakedown limit multiplier by using an efficient and robust iteration control technique, where the static shakedown theorem is adopted. Three numerical examples up to about 140,000 finite element nodes confirm the applicability and efficiency of this method for two-dimensional and three-dimensional elastoplastic structures, with detailed discussions on the convergence and the accuracy of the proposed algorithm.
-
-
Item type: Article ID code: 68026 Dates: DateEvent31 January 2019Published15 May 2018Published Online24 April 2018AcceptedSubjects: Technology > Mechanical engineering and machinery Department: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 23 May 2019 15:43 Last modified: 14 May 2024 01:19 URI: https://strathprints.strath.ac.uk/id/eprint/68026