scholarly journals A performance index for topology and shape optimization of plate bending problems with displacement constraints

2001 ◽  
Vol 21 (5) ◽  
pp. 393-399 ◽  
Author(s):  
Q.Q. Liang ◽  
Y.M. Xie ◽  
G.P. Steven
Keyword(s):  
Shape Optimization ◽  
Performance Index ◽  
Plate Bending ◽  
Topology And Shape Optimization ◽  
Bending Problems ◽  
Displacement Constraints ◽  
A Performance

scholarly journals A Hybrid High-Order method for Kirchhoff–Love plate bending problems

2018 ◽  
Vol 52 (2) ◽  
pp. 393-421 ◽  
Author(s):  
Francesco Bonaldi ◽  
Daniele A. Di Pietro ◽  
Giuseppe Geymonat ◽  
Françoise Krasucki
Keyword(s):  
Sharp Estimate ◽  
High Order ◽  
Plate Bending ◽  
Mechanical Modeling ◽  
High Order Method ◽  
Local Polynomial ◽  
Bending Behavior ◽  
Bending Problems ◽  
Norm Of The Error ◽  
Theoretical Results

We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff–Love plates, including the biharmonic equation as a particular case. The proposed HHO method supports arbitrary approximation orders on general polygonal meshes, and reproduces the key mechanical equilibrium relations locally inside each element. When polynomials of degree k ≥ 1 are used as unknowns, we prove convergence in hk+1 (with h denoting, as usual, the meshsize) in an energy-like norm. A key ingredient in the proof are novel approximation results for the energy projector on local polynomial spaces. Under biharmonic regularity assumptions, a sharp estimate in hk+3 is also derived for the L2-norm of the error on the deflection. The theoretical results are supported by numerical experiments, which additionally show the robustness of the method with respect to the choice of the stabilization.

A performance index for semicoherent structures

2004 ◽  
Vol 83 (3) ◽  
pp. 323-332 ◽  
Author(s):  
Francesc Carreras ◽  
Josep Freixas ◽  
María Albina Puente
Keyword(s):  
Performance Index ◽  
A Performance
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