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Equivalent continuum method of plane-stress dominated plate-lattice materials
Abstract An equivalent continuum method based on micro–macro transformations of strains and stresses is developed to analyze the effective mechanical performances of three-dimensional plane-stress dominated plate-lattice materials. The equivalent stiffness matrix of the plate-lattice material is deduced by the equivalent continuum method. Based on the two-dimensional Mises yield criterion of the micro-plate, the yield criterion, yield strength and three-dimensional plastic yield surfaces of the plate-lattice materials are deduced. Anisotropy of the stiffness and strength is discussed for six typical plate-lattice materials. The predicted stiffness and strength are in good agreement with the experimental data, validating the present model in the prediction of the mechanical properties of the plate-lattice materials. Through the research, it is found that the plane-stress dominated topology makes the plate-lattice material stiffer and stronger than stretching-dominated truss-lattice material when there is no elastic buckling in both structures.
Graphical abstract Display Omitted
Highlights An equivalent continuum method of plate-lattice material was developed. The method is convenient to get yield surfaces of plate-lattice material. In-plane stress state lets plate lattice material stiffer and stronger.
Equivalent continuum method of plane-stress dominated plate-lattice materials
Abstract An equivalent continuum method based on micro–macro transformations of strains and stresses is developed to analyze the effective mechanical performances of three-dimensional plane-stress dominated plate-lattice materials. The equivalent stiffness matrix of the plate-lattice material is deduced by the equivalent continuum method. Based on the two-dimensional Mises yield criterion of the micro-plate, the yield criterion, yield strength and three-dimensional plastic yield surfaces of the plate-lattice materials are deduced. Anisotropy of the stiffness and strength is discussed for six typical plate-lattice materials. The predicted stiffness and strength are in good agreement with the experimental data, validating the present model in the prediction of the mechanical properties of the plate-lattice materials. Through the research, it is found that the plane-stress dominated topology makes the plate-lattice material stiffer and stronger than stretching-dominated truss-lattice material when there is no elastic buckling in both structures.
Graphical abstract Display Omitted
Highlights An equivalent continuum method of plate-lattice material was developed. The method is convenient to get yield surfaces of plate-lattice material. In-plane stress state lets plate lattice material stiffer and stronger.
Equivalent continuum method of plane-stress dominated plate-lattice materials
Zheng, Qing (author) / Fan, Hualin (author)
Thin-Walled Structures ; 164
2021-04-21
Article (Journal)
Electronic Resource
English
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