@inproceedings{tran_limit_2022,
	address = {Hanoi},
	title = {Limit and shakedown analysis of structures underrandom strength},
	volume = {1},
	url = {https://www.researchgate.net/publication/366053333_Shakedown_analysis_of_structures_under_random_strength_by_chance_constrained_programming},
	abstract = {Direct methods comprising limit and shakedown analysis is a branch of computational mechanics. It plays a significant role in mechanical and civil engineering design. The concept of direct method aims to determinate the ultimate load bearing capacity of structures beyond the elastic range. For practical problems, the direct methods lead to nonlinear convex optimization problems with a large number of variables and constraints. If strength and loading are random quantities, the problem of shakedown analysis is considered as stochastic programming. This paper presents a method so called chance constrained programming, an effective method of stochastic programming, to solve shakedown analysis problem under random condition of strength. In this our investigation, the loading is deterministic, the strength is distributed as normal or lognormal variables},
	language = {Englisch},
	booktitle = {Solid {Mechanics}, {Rock} {Mechanics}, {Artificial} {Intelligence}, {Teaching} and {Training}},
	publisher = {Nhà xuất bản Khoa học Tự nhiên và Công nghệ, Hà Nội},
	author = {Trần, Ngọc Trình and Trịnh, Tự Lực and Ngọc, Tiến Đào and Khuyến, Trương Mạnh and Văn, Tấn Giáp and Đinh, Thuý Hà and Staat, Manfred},
	year = {2022},
	pages = {510--518},
}

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