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Table 3 Convergence of collapse multipliers of clamped rhombic plate subjected to uniform pressure versus various DOFs

From: RETRACTED ARTICLE: A limit analysis of Mindlin plates using the cell-based smoothed triangular element CS-MIN3 and second-order cone programming (SOCP)

Skewness angle α

Method

Degrees of freedom

Reference solution [38] with 867 DOFs

  

75

146

243

363

507

 

30

CS-MIN3

20.5975

13.109

11.0884

10.2647

9.8309

9.852

MIN3

36.1594

21.4943

16.6904

14.0769

12.4709

45

CS-MIN3

23.8074

14.2608

12.3219

11.4793

11.0211

10.847

MIN3

46.298

24.0417

17.946

14.7981

13.0246

60

CS-MIN3

26.561

15.3363

13.2884

12.3919

11.8979

11.641

MIN3

55.5217

25.6668

18.3164

15.0692

13.3652

75

CS-MIN3

28.4641

16.2358

13.9159

12.9635

12.438

12.143

MIN3

62.9974

26.2878

18.2042

15.0939

13.5819

90

CS-MIN3

29.0137

16.9008

14.2239

13.1852

12.6364

12.314

 

MIN3

67.2856

25.8273

17.7147

14.8945

13.5918

 
  1. Basic load p = M p /R 2.