Application of dual kriging to structural shape optimization based on the boundary contour method

1998 ◽  
Vol 68 (7-8) ◽  
pp. 539-551 ◽  
Author(s):  
Anh-Vũ Phan ◽  
F. Trochu
Keyword(s):  
Shape Optimization ◽  
Contour Method ◽  
Boundary Contour ◽  
Structural Shape ◽  
Dual Kriging ◽  
Structural Shape Optimization ◽  
Boundary Contour Method

The Boundary Contour Method for Three-Dimensional Linear Elasticity

1996 ◽  
Vol 63 (2) ◽  
pp. 278-286 ◽  
Author(s):  
A. Nagarajan ◽  
S. Mukherjee ◽  
E. Lutz
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Linear Elasticity ◽  
Three Dimensional ◽  
Contour Method ◽  
Boundary Contour ◽  
Boundary Contour Method ◽  
Novel Variant ◽  
Elasticity Problems ◽  
Element Method

This paper presents a novel variant of the boundary element method, here called the boundary contour method, applied to three-dimensional problems of linear elasticity. In this work, the surface integrals on boundary elements of the usual boundary element method are transformed, through an application of Stokes’ theorem, into line integrals on the bounding contours of these elements. Thus, in this formulation, only line integrals have to be numerically evaluated for three-dimensional elasticity problems—even for curved surface elements of arbitrary shape. Numerical results are presented for some three-dimensional problems, and these are compared against analytical solutions.

Structural Shape Optimization Wth Error Control

1994 ◽  
Author(s):  
Pierre Duysinx ◽  
WeiHong Zhang ◽  
HaiGuang Zhong ◽  
Pierre Beckers ◽  
Claude Fleury
Keyword(s):  
Shape Optimization ◽  
Computer Aided Design ◽  
Adaptive Mesh Refinement ◽  
Error Control ◽  
Optimization Procedure ◽  
Adaptive Mesh ◽  
Structural Shape ◽  
Structural Shape Optimization ◽  
Design Variables ◽  
Recent Developments

Abstract A robust and automatic shape optimization procedure is presented in this paper, which incorporates recent developments in the field of computer-aided design (CAD) of mechanical structures, such as geometric modelling, automatic selection of independent design variables, sensitivity analysis using reliable mesh perturbation schemes, error estimation and adaptive mesh refinement. A numerical example is given to show the efficiency of the procedure.

Structural Shape Optimization with MSC/NASTRAN

1990 ◽  
Author(s):  
SRINIVAS KODIYALAM ◽  
GARRET VANDERPLAATS ◽  
HIROKAZU MIURA ◽  
GOPAL NAGENDRA ◽  
DAVID WALLERSTEIN
Keyword(s):  
Shape Optimization ◽  
Structural Shape ◽  
Structural Shape Optimization
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