Adaptive refinement of all-hexahedral elements for three-dimensional metal forming analysis

2006 ◽  
Vol 43 (1) ◽  
pp. 22-35 ◽  
Author(s):  
Chul-Hyun Park ◽  
Dong-Yol Yang
1982 ◽  
Vol 104 (3) ◽  
pp. 253-256 ◽  
Author(s):  
W. D. Webster ◽  
R. L. Davis

A three-dimensional finite element friction element has been developed. The friction element has been used in the analysis of round-to-square forward extrusion. Comparison with some limited experimental data is presented.


Author(s):  
R. H. Wagoner ◽  
J.-L. Chenot

2018 ◽  
Vol 10 (04) ◽  
pp. 1850045 ◽  
Author(s):  
Qiang Chen ◽  
Guannan Wang ◽  
Xuefeng Chen

In order to satisfy the increasing computational demands of micromechanics, the Finite-Volume Direct Averaging Micromechanics (FVDAM) theory is developed in three-dimensional (3D) domain to simulate the multiphase heterogeneous materials whose microstructures are distributed periodically in the space. Parametric mapping, which endorses arbitrarily shaped and oriented hexahedral elements in the microstructure discretization, is employed in the unit cell solution. Unlike the finite-element (FE) technique, the expressions for local stiffness matrices are derived explicitly, enabling efficient global stiffness matrix assembly using an easily implementable algorithm. To demonstrate the accuracy and efficiency of the proposed theory, the homogenized moduli and localized stress distributions produced by the FE analyses are given for comparisons, where excellent agreement is always obtained for the 3D microstructures with different geometrical and material properties. Finally, a multi-scale stress analysis of functionally graded composite cylinders is conducted. This extension further increases the FVDAM’s range of applicability and opens new opportunities for pursuing other areas, providing an attractive alternative to the FE-based approaches that may be compared.


2003 ◽  
Vol 141 (3) ◽  
pp. 395-403 ◽  
Author(s):  
M.L. Alves ◽  
J.L.M. Fernandes ◽  
J.M.C. Rodrigues ◽  
P.A.F. Martins

Author(s):  
Peiwen J. Ma ◽  
Yue Hao ◽  
Jyh-Ming Lien ◽  
Edwin A. Peraza Hernandez

Abstract Laser origami is a metal forming process where an initially planar sheet is transformed into a target three-dimensional (3D) form through cutting and folding operations executed by a laser beam. A key challenge in laser origami is to determine the locations of the cuts and folds required to transform the planar sheet into the 3D target shape. The region of the planar sheet that can be transformed into the target shape through these cuts and folds is denoted as the net. This paper presents a method to determine optimal net(s) for laser origami based on criteria including minimum energy usage, minimum fabrication time, minimum error in the fold angles, and minimum material usage. The 3D target shape is given as a polygonal mesh. To generate a net, each edge in the mesh must be classified as a cut or a fold. The energy, time, and other parameters associated with cutting or folding each edge are determined using experimentally calibrated formulas. A search algorithm is subsequently implemented to find combinations of cut and folded edges that provide an optimal set of nets for the given 3D target shape based on a cost function. Nets that are disconnected or have overlapping regions are discarded since they are invalid for laser origami. The method is demonstrated by applying it to different target shapes and cost functions.


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