Two-Dimensional Plane Stress Analysis by Smoothed Finite Element Method using 4 smoothing cells created by an arbitrary quadrilateral element
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Abstract
The cell-based smoothed finite element analysis for this research used the arbitrary quadrilaterals whose sides were randomly selected by defined as ratio of its original side. The values of were 0.2-0.3, 0.3-0.4 and 0.4-0.5 respectively. Smoothed strain field was created from gradient smoothing technique to distribute all strain field over entire smoothing domains. Symmetrical concept called “Semi-unit cell” has been applied to establish pattern providing the continuity for the entire problem domain. Two-dimensional plane stress problem investigated was cantilever beam subjected to parabola traction at the end. To determine tip displacements, normal and shear stresses over cross-sectional area of benchmark problem at the middle span, meshing was considered to be 16x4, 24x6, 32x8, 40x10 and 48x12 respectively. The percentage differences, at both maximum value of and mesh size, between tip displacement, normal stress and shear stress compared to the exact solutions were 0.78, 0.04 and 1.52 respectively.
Article Details
The published articles are copyright of the Engineering Journal of Research and Development, The Engineering Institute of Thailand Under H.M. The King's Patronage (EIT).
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