A co-rotational, updated Lagrangian formulation for geometrically nonlinear finite element analysis of shell structures

1994 ◽  
Vol 18 (1-3) ◽  
pp. 129-140 ◽  
Author(s):  
Lei Jiang ◽  
Michael W. Chernuka ◽  
Neil G. Pegg
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Lagrangian Formulation ◽  
Shell Structures ◽  
Geometrically Nonlinear ◽  
Element Analysis ◽  
Updated Lagrangian Formulation ◽  
Updated Lagrangian

Geometrically nonlinear finite element analysis of sandwich panels

1988 ◽  
Vol 92 (919) ◽  
pp. 356-364 ◽  
Author(s):  
H. H. Al-Qarra
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Sandwich Panels ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Geometrically Nonlinear ◽  
Large Deflections ◽  
Laminated Beams ◽  
Element Analysis ◽  
Displacement Based

Summary A displacement-based versatile and effective finite element analysis of sandwich panels is presented. The analysis is applicable to both small and large deflections. Allowance for the local bending stiffness of the faces is made. The procedure described is readily adapted to arbitrary laminated beams and plates. Selected example problems are given to illustrate the applicability of the formulation.

Nonlinear Finite Element Analysis of the Bending of Shape Memory Alloy Hybrid Epoxy Beams

2011 ◽  
Vol 221 ◽  
pp. 399-404
Author(s):  
Shuang Shuang Sun ◽  
Xian Ce Jiang ◽  
Guo Jun Sun
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Nonlinear Finite Element Analysis ◽  
Nonlinear Finite Element ◽  
Geometrically Nonlinear ◽  
Element Analysis ◽  
Increasing Temperature ◽  
Start Temperature

On the basis of considering the thermo-viscoelasticity of the epoxy matrix, the geometrically nonlinear finite element formulation is developed to simulate the moderate deflection bending of the shape memory alloy (SMA) hybrid beam upon actuation of SMA. It is found that the midpoint deflection of the epoxy beam increases with increasing temperature when temperature is lower than the austenite start temperature of SMA. Once the austenite start temperature of SMA is reached, the midpoint deflection of the epoxy beam is rapidly decreased to the initial state with the increasing of temperature. And then it increases slowly with increasing temperature after the austenite phase transformation of SMA is finished. The results based on the geometrically nonlinear finite element analysis are also compared with those from the geometrically linear finite element analysis, which shows that they agree well with each other when the bending deflection of the epoxy beam is small, while significant discrepancies occur between them when the deflection is considerably large.

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