A FEM-based direct method for material reconstruction inverse problem in soft tissue elastography

被引:24
作者
Guo, Zaoyang [1 ,2 ]
You, Shihui [2 ]
Wan, Xiaoping [2 ]
Bicanic, Nenad [1 ]
机构
[1] Univ Glasgow, Dept Civil Engn, Glasgow G12 8LT, Lanark, Scotland
[2] Jiujiang Univ, Coll Mech Engn, Jiujiang 332005, Jiangxi, Peoples R China
关键词
Soft tissue elastography; Inverse problem; FEM; Material reconstruction; LINEAR ELASTIC PROPERTIES; CONSTITUTIVE MODEL; ANNULUS FIBROSUS; MODULUS; COMPOSITES; DAMAGE;
D O I
10.1016/j.compstruc.2008.06.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A novel finite element method (FEM) based direct method is developed for the material reconstruction inverse problem in soft tissue elastography The solution is obtained by minimising an objective function defined as the sum of the square of the residual norms at all nodes where the nodal residual norm is defined as a linear function of elasticity parameters of the associated elements The measured deformation is enforced directly and satisfying the equilibrium at every node is utilised as the optimisation objective As a result the soft tissue elastography can be obtained directly by solving the resulting set of linear equations (C) 2008 Elsevier Ltd All rights reserved
引用
收藏
页码:1459 / 1468
页数:10
相关论文
共 25 条
[1]  
[Anonymous], 1979, SIAM REV, DOI DOI 10.1137/1021044
[2]   Framework for finite-element-based large increment method for nonlinear structural problems [J].
Aref, AJ ;
Guo, ZY .
JOURNAL OF ENGINEERING MECHANICS, 2001, 127 (07) :739-746
[3]   Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment [J].
Arns, CH ;
Knackstedt, MA ;
Pinczewski, WV ;
Garboczi, EJ .
GEOPHYSICS, 2002, 67 (05) :1396-1405
[4]   Elastic modulus imaging: some exact solutions of the compressible elastography inverse problem [J].
Barbone, Paul E. ;
Oberai, Assad A. .
PHYSICS IN MEDICINE AND BIOLOGY, 2007, 52 (06) :1577-1593
[5]   Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions [J].
Barbone, PE ;
Gokhale, NH .
INVERSE PROBLEMS, 2004, 20 (01) :283-296
[6]   Level set methods for geometric inverse problems in linear elasticity [J].
Ben Ameur, H ;
Burger, M ;
Hackl, B .
INVERSE PROBLEMS, 2004, 20 (03) :673-696
[7]  
Bui H. D., 1994, Inverse Problems in the Mechanic of Materials: An Introduction
[8]  
*CANC RES UK, CANC STAT DAT
[9]   Hyperelastic anisotropic microplane constitutive model for annulus fibrosus [J].
Caner, Ferhun C. ;
Guo, Zaoyang ;
Moran, Brian ;
Bazant, Zdenek P. ;
Carol, Ignacio .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 2007, 129 (05) :632-641
[10]   Inverse damage prediction in structures using nonlinear dynamic perturbation theory [J].
Chen, HP ;
Bicanic, N .
COMPUTATIONAL MECHANICS, 2006, 37 (05) :455-467