WO2009116048A3 - A method for cosserat point element (cpe) modeling of nonlinear elastic materials - Google Patents

A method for cosserat point element (cpe) modeling of nonlinear elastic materials Download PDF

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Publication number
WO2009116048A3
WO2009116048A3 PCT/IL2009/000315 IL2009000315W WO2009116048A3 WO 2009116048 A3 WO2009116048 A3 WO 2009116048A3 IL 2009000315 W IL2009000315 W IL 2009000315W WO 2009116048 A3 WO2009116048 A3 WO 2009116048A3
Authority
WO
WIPO (PCT)
Prior art keywords
cpe
modeling
cosserat
constitutive
deformations
Prior art date
Application number
PCT/IL2009/000315
Other languages
French (fr)
Other versions
WO2009116048A2 (en
Inventor
Mahmood Jabareen
Miles B. Rubin
Original Assignee
Technion Research & Development Foundation Ltd.
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 Technion Research & Development Foundation Ltd. filed Critical Technion Research & Development Foundation Ltd.
Publication of WO2009116048A2 publication Critical patent/WO2009116048A2/en
Publication of WO2009116048A3 publication Critical patent/WO2009116048A3/en

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    • 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]

Abstract

A method for Cosserat Point Element (CPE) modeling of nonlinear elastic materials, utilizing a strain energy function characterizing the response of an eight node 3-D brick element to homogeneous and inhomogeneous deformations, which includes full coupling of bending and torsional modes of deformation. The method includes determining the constitutive coefficients which satisfy bending and torsional modes of deformation for three specific reference element geometries and combining these solutions to obtain constitutive equations for general reference element shapes which ensure that the strain energy remains a positive definite function for all inhomogeneous deformations of the CPE. The constitutive coefficients characterize a generalized CPE model that predicts the response of a 3-D brick element for finite elastic deformations which is free of hourglass instabilities and locking for nearly incompressible materials, thereby providing a robust modeling tool.
PCT/IL2009/000315 2008-03-20 2009-03-19 A method for cosserat point element (cpe) modeling of nonlinear elastic materials WO2009116048A2 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US3828008P 2008-03-20 2008-03-20
US61/038,280 2008-03-20

Publications (2)

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WO2009116048A2 WO2009116048A2 (en) 2009-09-24
WO2009116048A3 true WO2009116048A3 (en) 2010-03-11

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PCT/IL2009/000315 WO2009116048A2 (en) 2008-03-20 2009-03-19 A method for cosserat point element (cpe) modeling of nonlinear elastic materials

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WO (1) WO2009116048A2 (en)

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8688418B2 (en) 2011-09-01 2014-04-01 Mcmoran Oil & Gas, Llc Engineered methodology for design verification and validation of ultra-deep high pressure high temperature oil and gas well control equipment
CN107563013B (en) * 2017-08-10 2020-03-24 北京汽车集团有限公司 Three-dimensional woven composite vehicle accessory and manufacturing method thereof
CN113420370B (en) * 2021-06-02 2024-03-19 中国航空工业集团公司沈阳飞机设计研究所 Intensity design load acquisition method for highly static indefinite structure
CN117216862B (en) * 2023-11-09 2024-02-02 湖南大学 Three-dimensional shield tunnel dynamic analysis model based on fiber beam unit

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6725168B2 (en) * 2000-06-14 2004-04-20 Sumitomo Rubber Industries, Ltd. Vehicle/tire performance simulating method
US20040194051A1 (en) * 2004-05-13 2004-09-30 Croft Bryan L. Finite element modeling system and method for modeling large-deformations using self-adaptive rezoning indicators derived from eigenvalue testing
US20050131662A1 (en) * 2001-10-17 2005-06-16 Maria-Grazia Ascenzi Method and system for modelling bone structure
US20050267614A1 (en) * 2004-03-05 2005-12-01 Looney Michael T System and method of virtual modeling of thin materials

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6725168B2 (en) * 2000-06-14 2004-04-20 Sumitomo Rubber Industries, Ltd. Vehicle/tire performance simulating method
US20050131662A1 (en) * 2001-10-17 2005-06-16 Maria-Grazia Ascenzi Method and system for modelling bone structure
US20050267614A1 (en) * 2004-03-05 2005-12-01 Looney Michael T System and method of virtual modeling of thin materials
US20040194051A1 (en) * 2004-05-13 2004-09-30 Croft Bryan L. Finite element modeling system and method for modeling large-deformations using self-adaptive rezoning indicators derived from eigenvalue testing

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
MARESCA, G ET AL.: "A Critical Review of Triaxiality Based Failure Criteria.", 28 May 1997 (1997-05-28), pages 3, Retrieved from the Internet <URL:http://www.gruppofrattura.it/ocs/index.php/cigf/igf13/paper/viewFile/194/129> [retrieved on 20090625] *

Also Published As

Publication number Publication date
WO2009116048A2 (en) 2009-09-24

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