Eigenstress-based shakedown analysis for estimation of effective strength of composites under variable load

• Published in: Composite structures 2022-01, Vol.280, p.114851, Article 114851
• Main Authors: Ri, Jun-Hyok, Ri, Un-Il, Hong, Hyon-Sik, Kwak, Chang-Man
• Format: Article
• Language: English
• Subjects: Composite materials; Proper orthogonal decomposition; Reduced order model; Second-order cone programming (SOCP); Shakedown analysis
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2021.114851

•A reduced order method for estimation of strength of complex composite materials under variable load is proposed.•The complex microstructure can be treated.•A huge model with about 650,000 integration points is considered.•The reduced bases are fully constructed within FE framework.•The proposed method is based on the basis reduction of shakedown analysis and second-order cone programming (SOCP). In this paper, an efficient numerical approach is proposed in order to estimate the effective strength of three-dimensional (3D) composite materials with complex microstructure using a basis reduction method based on eigenstress and the second-order cone programming (SOCP). The key issue is the combination of the basis reduction method with SOCP and its detailed numerical implementation, in order to extend to the shakedown analysis of 3D composite materials requiring many integration points. The computational accuracy and efficiency of current approach is shown via numerical example for the fiber-reinforced composite using about 650,000 integration points. Moreover, numerical examples for the porous material and composite material containing randomly distributed spherical inclusions confirm the predictable capacity of current approach for estimating the effective strength of composite with complex microstructure.