Optimal hole shape for minimum stress concentration using parameterized geometry models

Structural and Multidisciplinary Optimization

Volumn 37, Issue 6, 2009, Pages 625-634

  Wu, Zhixue ^a  

^a YANGZHOU UNIVERSITY   (China)

Author keywords

Finite element analysis; Hole; Shape optimization; Stress concentration; Stress minimization

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; HOLE CONCENTRATION; METAL WORKING SHAPERS; OPTIMIZATION; PROBABILITY DENSITY FUNCTION; STRESS CONCENTRATION; THEOREM PROVING; TOOLS;

BOUNDARY SHAPES; CURVATURE RADIUSES; FINITE ELEMENT ANALYSIS; FINITE PLATES; GEOMETRY MODELS; HIGH QUALITIES; HOLE; NUMERICAL EXAMPLES; OPTIMAL RESULTS; PARAMETERIZED; PARAMETERIZED EQUATIONS; PARAMETRIC FUNCTIONS; SMOOTH CURVES; TWO PARAMETERS;

SHAPE OPTIMIZATION;

EID: 58149508214     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-008-0253-4     Document Type: Article

References (20)

1. W Annicchiarico M Cerrolaza 1999 Finite elements, genetic algorithms and β-splines: a combined technique for shape optimization Finite Elem Anal Des 33 125 141
2. W Annicchiarico M Cerrolaza 2001 Structural shape optimization 3D finite-element models based on genetic algorithms and geometric modeling Finite Elem Anal Des 37 403 415
3. E Cervera J Trevelyan 2005 Evolutionary structural optimization based on boundary representation of NURBS. Part 1: 2D algorithms Comput Struct 83 1902 1916
4. AJ Durelli K Erickson K Rajaiah 1981 Optimum shapes of central holes in square plates subjected to uniaxial uniform load Int J Solids Struct 17 787 793
5. M Heller R Kaye LR Rose 1999 A gradientless finite element procedure for shape optimization J Strain Anal Eng Des 34 323 336
6. M McDonald M Heller 2004 Robust shape optimization of notches for fatigue-life extension Struct Multidisc Optim 19 169 182
7. A-V Phan T-N Phan 1999 A structural shape optimization system using the two-dimensional boundary contour method Arch Appl Mech 69 481 489
8. NL Pedersen 2004a Optimization of holes in plates for control of eigenfrequencies Struct Multidisc Optim 28 1 10
9. P Pedersen 2000 On optimal shapes in materials and structures Struct Multidisc Optim 19 169 182
10. P Pedersen 2004b Design study of hole positions and hole shapes for crack tip stress releasing Struct Multidisc Optim 28 243 251
11. P Pedersen 2007 Suggested benchmarks for shape optimization for minimum stress concentration Struct Multidisc Optim 35 273 283
12. F Schmid K Hirschen S Meynen M Schafer 2005 An enhanced approach for shape optimization using an adaptive algorithm Finite Elem Anal Des 41 521 543
13. E Schnack W Weikl 2002 Shape optimization under fatigue using continuum damage mechanics Comput Aided Design 34 929 938
14. FO Sonmez 2007 Shape optimization of 2D structures using simulated annealing Comput Methods Appl Mech Engrg 196 3279 3299
15. D Tran V Nguyen 1999 Optimal hole profile in finite plate under uniaxial stress by finite element simulation of Durelli's photoelastic stress minimisation method Finite Elem Anal Design 32 1 20
16. ML Van Miegroet P Duysinx 2007 Stress concentration minimization of 2D filets using X-FEM and level set description Struct Multidisc Optim 33 425 438
17. W Waldman M Heller GX Chen 2001 Optimal free-form shapes for shoulder fillets in flat plates under tension and bending Int J Fatigue 23 185 190
18. X Wang J Zhou Y Hu 1999 A physics-based parameterization method for shape optimization Comput Methods Appl Mech Eng 175 41 51
19. B Wilczyński 1997 Shape optimisation for stress reduction around single and interacting notches based on the fictitious stress method Eng Anal Bound Elem 19 117 128
20. Z Wu 2005 An efficient approach for shape optimization of components Int J Mech Sci 47 10 1595 1610