A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis

Linear buckling analysis entails the solution of a generalized eigenvalue problem. Popular methods for solving such problems tend to be memory-hungry, and therefore slow for large degrees of freedom. The main contribution of this paper is a low-memory assembly-free linear buckling analysis method. In particular, we employ the classic inverse iteration, in conjunction with an assembly-free deflated linear solver. The resulting implementation is simple, fast and particularly well suited for parallelization. The proposed method is used here to solve large scale 3D topology optimization problems subject to buckling constraints, where buckling problems must be solved repeatedly.

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Non-linear buckling analysis of tapered curved composite plates

Science and Engineering of Composite Materials ◽

10.1515/secm.2011.026 ◽

2011 ◽

Vol 18 (3) ◽

Author(s):

Shaikh Akhlaque-E-Rasul ◽

Rajamohan Ganesan

Keyword(s):

Composite Plates ◽

Buckling Analysis ◽

Linear Buckling ◽

Non Linear ◽

Linear Buckling Analysis

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Non-linear buckling analysis of functionally graded shallow spherical shells

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/31/1/5491 ◽

2009 ◽

Vol 31 (1) ◽

pp. 17-30 ◽

Cited By ~ 4

Author(s):

Dao Huy Bich

Keyword(s):

External Pressure ◽

Buckling Analysis ◽

Functionally Graded ◽

Power Law Distribution ◽

Governing Equations ◽

Spherical Shells ◽

Buckling Loads ◽

Linear Buckling ◽

Non Linear ◽

Linear Buckling Analysis

In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

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Linear Buckling Analysis Considering No-compression Property of Metal Grid Shells Stiffened by Tension Braces

Journal of the International Association for Shell and Spatial Structures ◽

10.20898/j.iass.2021.010 ◽

2021 ◽

Vol 62 (3) ◽

pp. 195-205

Author(s):

Kenji Yamamoto ◽

Hayato Utebi

Keyword(s):

Geometrical Nonlinearity ◽

Buckling Analysis ◽

Nonlinear Buckling ◽

Compression Property ◽

Buckling Behavior ◽

Metal Grid ◽

Linear Buckling ◽

Nonlinear Buckling Analysis ◽

Linear Buckling Analysis ◽

Lattice Shells

In order to analyze the buckling behavior of lattice shells stiffened by cables or slender braces without pre-tension, it is necessary to consider the no-compression property of braces. This paper proposes an innovative method of linear buckling analysis that considers the no-compression property of braces. Moreover, in order to examine the proposed method's validity, its results are compared with the results from a nonlinear buckling analysis with geometrical nonlinearity and material nonlinearity to express the no-compression property of braces. The results show that the proposed method can well-predict the buckling behaviors of lattice shells stiffened by tension braces.

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