The New Constraint Algorithm Based on Efficient Inverse Isoparametric Mapping

2009 ◽  
Author(s):  
Hongyan Li ◽  
Xianyue Gang
Keyword(s):  
Isoparametric Mapping

SMOOTHED FINITE ELEMENT METHODS FOR THERMO-MECHANICAL IMPACT PROBLEMS

2013 ◽  
Vol 10 (01) ◽  
pp. 1340010 ◽  
Author(s):  
V. KUMAR
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Large Deformations ◽  
Physical Domain ◽  
Shape Functions ◽  
Mechanical Impact ◽  
Element Approach ◽  
Impact Problems ◽  
Isoparametric Mapping ◽  
Derivatives Of

We present a Smoothed Finite Element Methods (SFEM) for thermo-mechanical impact problems. The smoothing is applied to the strains and the standard finite element approach is used for the temperature field. The SFEM allows for highly accurate results and large deformations. No isoparametric mapping is needed; the shape functions are computed in the physical domain. Moreover, no derivatives of the shape functions must be computed. We implemented a visco-plastic constitutive model and validate the method by comparing numerical results to experimental data.

An improved numerical inverse isoparametric mapping technique for 2D mesh rezoning

1992 ◽  
Vol 41 (3) ◽  
pp. 417-435 ◽  
Author(s):  
I.L. Lim ◽  
I.W. Johnston ◽  
S.K. Choi ◽  
V. Murti
Keyword(s):  
Mapping Technique ◽  
Isoparametric Mapping

scholarly journals Efficient Inverse Isoparametric Mapping Algorithm for Whole-Body Computed Tomography Registration Using Deformations Predicted by Nonlinear Finite Element Modeling

2014 ◽  
Vol 136 (8) ◽  
Author(s):  
Mao Li ◽  
Adam Wittek ◽  
Karol Miller
Keyword(s):  
Computed Tomography ◽  
Finite Element ◽  
Image Registration ◽  
Coordinate System ◽  
Deformation Field ◽  
Whole Body ◽  
Mapping Algorithm ◽  
Whole Body Ct ◽  
Isoparametric Mapping ◽  
Body Ct

Biomechanical modeling methods can be used to predict deformations for medical image registration and particularly, they are very effective for whole-body computed tomography (CT) image registration because differences between the source and target images caused by complex articulated motions and soft tissues deformations are very large. The biomechanics-based image registration method needs to deform the source images using the deformation field predicted by finite element models (FEMs). In practice, the global and local coordinate systems are used in finite element analysis. This involves the transformation of coordinates from the global coordinate system to the local coordinate system when calculating the global coordinates of image voxels for warping images. In this paper, we present an efficient numerical inverse isoparametric mapping algorithm to calculate the local coordinates of arbitrary points within the eight-noded hexahedral finite element. Verification of the algorithm for a nonparallelepiped hexahedral element confirms its accuracy, fast convergence, and efficiency. The algorithm's application in warping of the whole-body CT using the deformation field predicted by means of a biomechanical FEM confirms its reliability in the context of whole-body CT registration.

A Parametric Design Method for Porous Skull Scaffolds Based on Isoparametric Mapping

2018 ◽  
Vol 8 (9) ◽  
pp. 1235-1243
Author(s):  
Jian Qi ◽  
Jia Li ◽  
Shuxian Zheng ◽  
Zhenqing Bi
Keyword(s):  
Parametric Design ◽  
Design Method ◽  
Isoparametric Mapping

Numerical inverse isoparametric mapping in 3D FEM

1988 ◽  
Vol 29 (4) ◽  
pp. 611-622 ◽  
Author(s):  
V. Murti ◽  
Y. Wang ◽  
S. Valliappan
Keyword(s):  
3D Fem ◽  
Isoparametric Mapping
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