Plastic Limit Analysis of Plane Stress Problems by Truss Element

Jiang Ke. Plastic Limit Analysis of Plane Stress Problems by Truss Element. Preprint athttps://doi.org/10.2139/ssrn.4476517, 2023.

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Abstract: The truss element model is established based on the equivalence of the force and deformation with the regular hexahedral element. The truss element model is used to analyze the elastic perfectly plastic plane stress problems in theory of plasticity. Taking a cantilever beam and a simply supported beam under concentrated load as examples, using the truss element method, the analytical method, and the plane stress element method for comparative analysis, it can be found that the limit load, the limit displacement and the distribution of the plastic zone obtained by the truss element method and the analytical method are in good agreement, and the plastic strain in different directions at each point of the plastic zone can also be obtained by the truss element method. The load-displacement curves obtained by the truss element method and the plane stress element method are in good agreement, and when the limit displacement of the truss element method is reached, the load and the displacement contours of the two methods are in good agreement, but the disadvantage of the plane stress element method is that the load-displacement curve of the beam does not have a horizontal yield stage.