Stress fields on an isotropic semi-infinite plane with a circular hole subjected to arbitrary loads using the constraint-release technique

Tsutsumi, Takashi; Sato, Kensaku; Hirashima, Ken-ichi; Arai, Hiroshi

doi:10.12989/scs.2002.2.4.237

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…Kolosov and N.I Muskhelishvili (see, e.g., [6][7][8]) has been applied for anisotropic plates by Green and Zerna [7], Lekhniskii [9], Sih et al [10], Lekhniskii [11], Bigoni and Movchan [12], Radi et al [13], Craciun and Soós [14], Craciun and Barbu [15], and Chaleshtari and Jafari [16]. Tsutsumi et al [17] investigated the solution of a semi-infinite plane with one circular hole. Their solution was based on repeatedly superposing the solution of an infinite plane with one circular hole and of a semi-infinite plane without holes to eliminate the stresses arising on both boundaries.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimum Design of Infinite Perforated Orthotropic and Isotropic Plates

et al. 2020

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In this study, an attempt was made to introduce the optimal values of effective parameters on the stress distribution around a circular/elliptical/quasi-square cutout in the perforated orthotropic plate under in-plane loadings. To achieve this goal, Lekhnitskii’s complex variable approach and Particle Swarm Optimization (PSO) method were used. This analytical method is based on using the complex variable method in the analysis of two-dimensional problems. The Tsai–Hill criterion and Stress Concentration Factor (SCF) are taken as objective functions and the fiber angle, bluntness, aspect ratio of cutout, the rotation angle of cutout, load angle, and material properties are considered as design variables. The results show that the PSO algorithm is able to predict the optimal value of each effective parameter. In addition, these parameters have significant effects on stress distribution around the cutouts and the load-bearing capacity of structures can be increased by appropriate selection of the effective design variables. The main innovation of this study is the use of PSO algorithm to determine the optimal design variables to increase the strength of the perforated plates. Finite element method (FEM) was employed to examine the results of the present analytical solution. The results obtained by the present solution are in accordance with numerical results.

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