Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format

2018 ◽  
Vol 336 ◽  
pp. 39-79 ◽  
Author(s):  
Yujie Guo ◽  
Jason Heller ◽  
Thomas J.R. Hughes ◽  
Martin Ruess ◽  
Dominik Schillinger
Keyword(s):  
Isogeometric Analysis ◽  
Finite Deformations ◽  
Thin Shells ◽  
Exchange Format

Topology Optimization Algorithm for Plates and Shells Subjected to Plastic Deformations

1998 ◽  
Author(s):  
Kohei Yuge ◽  
Nobuhiro Iwai ◽  
Noboru Kikuchi
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
Homogenization Method ◽  
Finite Deformations ◽  
Thin Shells ◽  
Plastic Deformations ◽  
Material Tensor ◽  
Design Variables ◽  
Interpolation Technique ◽  
Plates And Shells

Abstract A topology optimization method for plates and shells subjected to plastic deformations is presented. The algorithms is based on the generalized layout optimization method invented by Bendsϕe and Kikuchi (1988), where an admissible design domain is assumed to be composed of microstructures with periodic cavities. The sizes of the cavities and the rotational angles of the microstructures are design variables which are optimized so as to minimize the applied work. The macroscopic material tensor for the porous material is numerically calculated by the homogenization method for the sensitivity analysis. In this paper, the method is applied to two-dimensional elasto-plastic problems. A database of the material tensor and its interpolation technique are presented. The algorithm is expanded into thin shells subjected to finite deformations. Several numerical examples are shown to demonstrate the effectiveness of these algorithms.

Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

2017 ◽  
Vol 316 ◽  
pp. 1157-1178 ◽  
Author(s):  
N. Nguyen-Thanh ◽  
K. Zhou ◽  
X. Zhuang ◽  
P. Areias ◽  
H. Nguyen-Xuan ◽  
...  
Keyword(s):  
Large Deformation ◽  
Isogeometric Analysis ◽  
Thin Shells

Maysel's formula generalized for piezoelectric vibrations - Application to thin shells of revolution

1996 ◽  
Author(s):  
Hans Irschik ◽  
Franz Ziegler ◽  
Hans Irschik ◽  
Franz Ziegler
Keyword(s):  
Thin Shells ◽  
Shells Of Revolution
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