Numerical analysis and geometric optimization of perforated thin plates subjected to tension or buckling

Ansys, (2005) — “User’s manual (version 10.0)”. Swanson Analysis System Inc, Houston.

Bathe, K-J., (1996) — “Finite Element Procedures”. Prentice-Hall, New Jersey.

Beer, F. P., Johnston Jr., E. R., Dewolf, J. T., Mazurek, D., (2009) — “Mechanics of Materials”. 5. ed., McGraw-Hill, New York.

Bejan, A., (1997) — “Constructal-theory network of conducting paths for cooling a heat generating volume”. International Journal of Heat and Mass Transfer, vol. 40, n. 4, pp. 799–816.

Bejan, A., (2000) — “Shape and structure, from engineering to nature”, Cambridge, Cambridge University Press.

Bejan, A., Lorente, S., (2006) — “Constructal Theory of generation of configuration in nature and engineering”. Journal of Applied Physics, vol. 100, pp. 041301.

Bejan, A., Lorente, S., (2006) — “The Constructal Law (La Loi Constructale)”. International Journal of Heat and Mass Transfer, vol. 49, pp. 445–445.

El-Sawy, K. M., Nazmy, A. S., (2001) — “Effect of Aspect Ratio on the Elastic Buckling of Uniaxially Loaded Plates with Eccentric Holes”. Thin-Walled Structures, vol. 39, pp. 993–998.

El-Sawy, K. M., Martini, M. I., (2007) — “Elastic stability of bi-axially loaded rectangular plates with a single circular hole”. Thin-Walled Structures, vol. 45, pp. 122–133.

Isoldi, L. A., Real, M. de V., Correia, A. L. G., Vaz, J., Dos Santos, E. D., Rocha, L. A. O., (2011) — “Geometric optimization of tensioned perforated plates based on constructal theory — a stress concentration investigation”. Constructal Law Conference, Porto Alegre, RS: UFRGS, 2011.

Lorente, S., Bejan, A., (2002) — “Combined ‘flow and strength’ geometric optimization: internal structure in a vertical insulating wall with air cavities and prescribed strength”. International Journal of Heat and Mass Transfer, vol. 45, pp. 3313–3320.

Lorente, S., Lee, J., Bejan, A., (2010) — “The “flow of stresses” concept: the analogy between mechanical strength and heat convection”. International Journal of Heat and Mass Transfer, vol. 53, pp. 2963–2968.

Madenci, E., Guven, I., (2006) — “The Finite Element Method and Applications in Engineering Using ANSYS”. Springer, New York.

Purbolaksono, J., Aliabadi, M. H., (2009) — “Application of DRBEM for Evaluating Buckling Problems of Perforated Thin Plates”. European Journal of Scientific Research, vol. 31, n. 3, pp. 398–408.

Real, M. de V., Isoldi, L. A., (2010) — “Finite Element Buckling Analysis of Uniaxially Loaded Plates with Holes”. Southern Conference on Computational Modeling, Rio Grande, RS: FURG.

Real, M. de V., Isoldi, L. A., (2011) — “Effect of circular holes dimension and location on the elastic buckling load of rectangular plates”. Brazilian Congress of Mechanical Engineering, Natal, RN: UFRN.

Real, M. de V., Isoldi, L. A., Correia, A. L. G., Vaz, I., Dos Santos, E. D., Rocha, L. A. O., (2011) — “Geometric optimization based on the constructal design of perforated thin plates subject to buckling”. Constructal Law Conference, Porto Alegre, RS: UFRGS.

Rezaeepazhand, J., Jafari, M., (2005) — “Stress analysis of perforated composite plates”. Composite Structures, vol. 71, pp. 463–468.

Rocha, L. A. O., Montanari, G. C., Dos Santos, E. D., Rocha, A. S., (2007) — “Constructal design applied to the study of cavities into a solid conducting wall”. Thermal Engineering, vol. 6, pp. 41–47.

Segerlind, L. J., (1984) — “Applied Finite Element Analysis”. John Wiley & Sons, New York.

She, C., Guo, W., (2007) — “Three-dimensional stress concentrations at elliptic holes in elastic isotropic plates subjected to tensile stress”. Journal of Fatigue, vol. 29, pp. 330–335.

Tajdari, M., Nezamabadi, A. R., Naeemi, M., Pirali, P., (2011) — “The Effects of Plate-Support Condition on Buckling Strength of Rectangular Perforated Plates under Linearly Varying In-Plane Normal Load”. World Academy of Science, Engineering and Technology, vol. 54, pp. 479–486.

Wang, C. M., Wang, C. Y., Reddy, J. N, (2005) — “Exact solutions for buckling of structural members”. CRC Press. Boca Raton.

Young, W. C., Budynas, R. G., (2002) — “Roark’s Formulas for Stress and Strain”. McGraw-Hill, New York.