Fiber‐based shakedown analysis of three‐dimensional frames under multiple load combinations: Mixed finite elements and incremental‐iterative solution

2020 ◽  
Vol 121 (17) ◽  
pp. 3743-3767
Author(s):  
D. Magisano ◽  
G. Garcea
Keyword(s):  
Finite Elements ◽  
Three Dimensional ◽  
Mixed Finite Elements ◽  
Iterative Solution ◽  
Shakedown Analysis ◽  
Multiple Load

A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress

2014 ◽  
Vol 24 (11) ◽  
pp. 2155-2169 ◽  
Author(s):  
Mika Juntunen ◽  
Jeonghun Lee
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Finite Elements ◽  
Mixed Finite Element ◽  
Three Dimensional ◽  
Mixed Finite Elements ◽  
Complex Approach ◽  
Weakly Symmetric ◽  
Rectangular Element ◽  
Low Order

We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold–Falk–Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.

scholarly journals Computation of the Three-Dimensional Stress State in Composite Shell Structures with Mixed Finite Elements

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 217-218
Author(s):  
Marco Schürg ◽  
Jens Wackerfuß ◽  
Friedrich Gruttmann
Keyword(s):  
Stress State ◽  
Finite Elements ◽  
Composite Shell ◽  
Three Dimensional ◽  
Mixed Finite Elements ◽  
Shell Structures

Boundary Condition Design to Heat a Moving Object at Uniform Transient Temperature Using Inverse Formulation

2004 ◽  
Vol 126 (3) ◽  
pp. 619-626 ◽  
Author(s):  
Hakan Ertu¨rk ◽  
Ofodike A. Ezekoye ◽  
John R. Howell
Keyword(s):  
Boundary Condition ◽  
Temperature Distribution ◽  
Design Problem ◽  
Manufacturing Industry ◽  
Three Dimensional ◽  
Chemical Deposition ◽  
Iterative Solution ◽  
Conveyor Belt ◽  
Temperature History ◽  
Transient Temperature

The boundary condition design of a three-dimensional furnace that heats an object moving along a conveyor belt of an assembly line is considered. A furnace of this type can be used by the manufacturing industry for applications such as industrial baking, curing of paint, annealing or manufacturing through chemical deposition. The object that is to be heated moves along the furnace as it is heated following a specified temperature history. The spatial temperature distribution on the object is kept isothermal through the whole process. The temperature distribution of the heaters of the furnace should be changed as the object moves so that the specified temperature history can be satisfied. The design problem is transient where a series of inverse problems are solved. The process furnace considered is in the shape of a rectangular tunnel where the heaters are located on the top and the design object moves along the bottom. The inverse design approach is used for the solution, which is advantageous over a traditional trial-and-error solution where an iterative solution is required for every position as the object moves. The inverse formulation of the design problem is ill-posed and involves a set of Fredholm equations of the first kind. The use of advanced solvers that are able to regularize the resulting system is essential. These include the conjugate gradient method, the truncated singular value decomposition or Tikhonov regularization, rather than an ordinary solver, like Gauss-Seidel or Gauss elimination.

Symmetric coupling of boundary elements and Raviart-Thomas-type mixed finite elements in elastostatics

1996 ◽  
Vol 75 (2) ◽  
pp. 153-174 ◽  
Author(s):  
Ulrich Brink ◽  
Carsten Carstensen ◽  
Erwin Stein
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Boundary Elements
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