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- W2977757480 abstract "Mechanics of structure genome (MSG) is a unified homogenization theory thatprovides constitutive modeling of three-dimensional (3D) continua, beams and plates.In present work, the author extends the MSG to study the buckling of structures suchas stiffened and sandwich panels. Such structures are usually slender or flat and easilybuckle under compressive loads or bending moments which may result in catastrophicfailure.Buckling studies of stiffened and sandwich panels are found to be scattered. Mostof the existed theories employ unnecessary assumptions or only apply to certain typesof structures. There are few unified approaches that are capable of studying thebuckling of different kinds of structures altogether. The main improvements of currentapproach compared with other methods in the literature are avoiding unnecessaryassumptions, the capability of predicting all possible buckling modes including theglobal and local buckling modes, and the potential in studying the buckling of varioustypes of structures.For global buckling that features small local rotations, MSG mathematically decouplesthe 3D geometrical nonlinear problem into a linear constitutive modeling usingstructure genome (SG) and a geometrical nonlinear problem defined in a macroscopicstructure. As a result, the original structures are simplified as macroscopic structuressuch as beams, plates or continua with effective properties, and the global bucklingmodes are predicted on macroscopic structures. For local buckling that featuresfinite local rotations, Green strain is introduced into the MSG theory to achieve geometrically nonlinear constitutive modeling. Newton’s method is used to solvethe nonlinear equilibrium equations for fluctuating functions. To find the bifurcatedfluctuating functions, the fluctuating functions are then perturbed under the Bloch-periodicboundary conditions. The bifurcation is found when the tangent stiffnessassociated with the perturbed fluctuating functions becomes singular. Moreover, thearc-length method is introduced to solve the nonlinear equilibrium equations for post-local-bucklingpredictions because of its robustness. The imperfection is included inthe form of geometrical imperfection by superimposing the scaled buckling modes inlinear perturbation analysis on mesh.Extensive validation case studies are carried out to assess the accuracy of theMSG theory in global buckling analysis and post-global-buckling analysis, and assessthe accuracy of the extended MSG theory in local buckling and post-local-bucklinganalysis. Results using MSG theory and extended MSG theory in buckling analysisare compared with direct numerical solutions such as 3D FEA results and results inliterature. Parametric studies are performed to reveal the relative influence of selectivegeometric parameters on buckling behaviors. The extended MSG theory is alsocompared with representative volume element (RVE) analysis with Bloch-periodicboundary conditions using commercial finite element packages such as Abaqus toassess the efficiency and accuracy of the present approach." @default.
- W2977757480 created "2019-10-10" @default.
- W2977757480 creator A5060070193 @default.
- W2977757480 date "2019-06-10" @default.
- W2977757480 modified "2023-09-24" @default.
- W2977757480 title "Global and Local Buckling Analysis of Stiffened and Sandwich Panels Using Mechanics of Structure Genome" @default.
- W2977757480 doi "https://doi.org/10.25394/pgs.7789097.v1" @default.
- W2977757480 hasPublicationYear "2019" @default.
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