WO2005122026A3 - Extended finite element method for modelling the deformation of an object and apparatus therefor - Google Patents

Extended finite element method for modelling the deformation of an object and apparatus therefor Download PDF

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Publication number
WO2005122026A3
WO2005122026A3 PCT/EP2005/052685 EP2005052685W WO2005122026A3 WO 2005122026 A3 WO2005122026 A3 WO 2005122026A3 EP 2005052685 W EP2005052685 W EP 2005052685W WO 2005122026 A3 WO2005122026 A3 WO 2005122026A3
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WO
WIPO (PCT)
Prior art keywords
modelling
deformation
finite element
elements
element method
Prior art date
Application number
PCT/EP2005/052685
Other languages
French (fr)
Other versions
WO2005122026A2 (en
Inventor
Jacques Verly
Lara Vigneron
Marc Duflot
Simon Warfield
Original Assignee
Univ Liege
Brigham & Womens Hospital
Jacques Verly
Lara Vigneron
Marc Duflot
Simon Warfield
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Univ Liege, Brigham & Womens Hospital, Jacques Verly, Lara Vigneron, Marc Duflot, Simon Warfield filed Critical Univ Liege
Publication of WO2005122026A2 publication Critical patent/WO2005122026A2/en
Publication of WO2005122026A3 publication Critical patent/WO2005122026A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Complex Calculations (AREA)
  • Processing Or Creating Images (AREA)

Abstract

The invention provides a method for modelling the deformation of a deformable object subjected to a cut such as retraction or a resection, comprising the steps of creating a volume mesh of the deformable object in its initial form using standard finite element analysis meshing techniques, defining enrichment nodal shape function of the mesh elements that are intersected by the cut, and assembling a global stiffness matrix of the elements in the volume mesh using the stiffness matrix of the elements and the enrichment nodal shape functions. An electronic data processing apparatus operative according to the method is also provided.
PCT/EP2005/052685 2004-06-14 2005-06-09 Extended finite element method for modelling the deformation of an object and apparatus therefor WO2005122026A2 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US57886904P 2004-06-14 2004-06-14
US60/578,869 2004-06-14

Publications (2)

Publication Number Publication Date
WO2005122026A2 WO2005122026A2 (en) 2005-12-22
WO2005122026A3 true WO2005122026A3 (en) 2006-04-06

Family

ID=35134171

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/EP2005/052685 WO2005122026A2 (en) 2004-06-14 2005-06-09 Extended finite element method for modelling the deformation of an object and apparatus therefor

Country Status (1)

Country Link
WO (1) WO2005122026A2 (en)

Families Citing this family (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP2594200B1 (en) * 2010-05-20 2019-01-02 Fudan University Method for simulating and correcting deformation of cerebral tissue images
EP3041427B1 (en) * 2013-09-06 2024-11-06 Brigham and Women's Hospital, Inc. System for a tissue resection margin measurement device
EP3420904A1 (en) * 2017-06-30 2019-01-02 Koninklijke Philips N.V. Device and method for predicting an intra-operational non-rigid brain shift deformation
CN110008593B (en) * 2019-04-08 2023-02-07 东华理工大学 Unit decomposition method of direct-current resistivity unit-free unit decomposition method
CN111597649B (en) * 2020-04-26 2024-03-22 中山大学 Elastic crack problem simulation method based on stable generalized finite element
CN112149265B (en) * 2020-10-12 2022-11-01 复旦大学 Construction method of initial tension state of cable net structure in nonlinear finite element analysis

Non-Patent Citations (4)

* Cited by examiner, † Cited by third party
Title
BELYTSCHKO T ET AL: "Arbitrary discontinuities in finite elements", INT. J. NUMER. METHODS ENG.; INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2001 JOHN WILEY & SONS LTD, CHICHESTER, UNITED KINGDOM, vol. 50, no. 4, 2001, pages 993 - 1013, XP002353452 *
DELINGETTE HERVE ET AL: "A hybrid elastic model allowing real-time cutting, deformations and force-feedback for surgery training and simulation", COMPUT ANIM CONF PROC; COMPUTER ANIMATION, CONFERENCE PROCEEDINGS 1999 IEEE, PISCATAWAY, NJ, USA, 1999, pages 1 - 12, XP002353451 *
PICINBONO G ET AL: "Improving realism of a surgery simulator: linear anisotropic elasticity, complex interactions and force extrapolation", JOURNAL OF VISUALIZATION AND COMPUTER ANIMATION, XX, XX, vol. 13, no. 3, July 2002 (2002-07-01), pages 147 - 167, XP002334415 *
SUKUMAR N ET AL: "Modeling quasi-static crack growth with the extended finite element method Part I: computer implementation", INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES ELSEVIER UK, vol. 40, no. 26, December 2003 (2003-12-01), pages 7513 - 7537, XP002353450, ISSN: 0020-7683 *

Also Published As

Publication number Publication date
WO2005122026A2 (en) 2005-12-22

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