scholarly journals Optimal Design of Flexural Systems: Beams, Grillages, Slabs, Plates, and Shells

1977 ◽  
Vol 44 (3) ◽  
pp. 516-517 ◽  
Author(s):  
G. I. N. Rozvany ◽  
E. F. Masur
Keyword(s):  
Optimal Design ◽  
Plates And Shells

scholarly journals On material optimisation for nonlinearly elastic plates and shells

2020 ◽  
Vol 26 ◽  
pp. 82
Author(s):  
Peter Hornung ◽  
Martin Rumpf ◽  
Stefan Simon
Keyword(s):  
Optimal Design ◽  
Axial Direction ◽  
Stationary Points ◽  
Rectangular Plates ◽  
Material Distribution ◽  
Elastic Plates ◽  
Compliance Cost ◽  
Element Discretization ◽  
Plates And Shells ◽  
Isometric Deformations

This paper investigates the optimal distribution of hard and soft material on elastic plates. In the class of isometric deformations stationary points of a Kirchhoff plate functional with incorporated material hardness function are investigated and a compliance cost functional is taken into account. Under symmetry assumptions on the material distribution and the load it is shown that cylindrical solutions are stationary points. Furthermore, it is demonstrated that the optimal design of cylindrically deforming, clamped rectangular plates is non trivial, i.e. with a material distribution which is not just depending on one axial direction on the plate. Analytical results are complemented with numerical optimization results using a suitable finite element discretization and a phase field description of the material phases. Finally, using numerical methods an outlook on the optimal design of non isometrically deforming plates and shells is given.

Sensitivity analysis and optimal design of geometrically non-linear laminated plates and shells

2000 ◽  
Vol 76 (1-3) ◽  
pp. 407-420 ◽  
Author(s):  
J.S Moita ◽  
J Infante Barbosa ◽  
C.M Mota Soares ◽  
C.A Mota Soares
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Laminated Plates ◽  
Non Linear ◽  
Plates And Shells ◽  
Laminated Plates And Shells

Crack divergence phenomena in tempered glass

2020 ◽  
Vol 13 (3) ◽  
pp. 115-129
Author(s):  
Shin’ichi Aratani
Keyword(s):  
Optimal Design ◽  
High Speed ◽  
Glass Plate ◽  
Acute Angle ◽  
Divergence Angle ◽  
High Speed Photography ◽  
Tempered Glass ◽  
Thick Glass

High speed photography using the Cranz-Schardin camera was performed to study the crack divergence and divergence angle in thermally tempered glass. A tempered 3.5 mm thick glass plate was used as a specimen. It was shown that two types of bifurcation and branching existed as the crack divergence. The divergence angle was smaller than the value calculated from the principle of optimal design and showed an acute angle.

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