A meshfree thin shell method for non-linear dynamic fracture

被引：457
|
作者：
Rabczuk, T. [1 ]
Areias, P. M. A. [1 ]
Belytschko, T. [1 ]
机构：
[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2007年 / 72卷 / 05期
关键词：
meshfree methods; cracks; cohesive models; KL constraint; shell;
D O I：
10.1002/nme.2013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C-1 displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary. Membrane locking is eliminated by the use of a cubic or quartic polynomial basis. The shell is tested for several elastic and elasto-plastic examples and shows good results. The shell is subsequently extended to modelling cracks. Since no discretization of the director field is needed, the incorporation of discontinuities is easy to implement and straightforward. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：524 / 548
页数：25
相关论文
共 50 条
  • [31] OPTIMAL LINEARIZATION METHOD FOR DYNAMIC ANALYSIS OF NON-LINEAR ROTORS
    Nicoara, Dumitru
    ANNALS OF DAAAM FOR 2008 & PROCEEDINGS OF THE 19TH INTERNATIONAL DAAAM SYMPOSIUM, 2008, : 971 - 972
  • [32] The analysis of the Generalized-α method for non-linear dynamic problems
    S. Erlicher
    L. Bonaventura
    O. S. Bursi
    Computational Mechanics, 2002, 28 : 83 - 104
  • [33] AN IMPOSED FORCE SUMMATION METHOD FOR NON-LINEAR DYNAMIC ANALYSIS
    DUNGAR, R
    EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1982, 10 (01): : 165 - 170
  • [34] METHOD OF CHARACTERISTICS FOR DYNAMIC GEOMETRICALLY NON-LINEAR ANALYSIS OF BEAMS
    Shatnawi, A. S.
    Al-Sadder, S. Z.
    Abdel-Jaber, M. S.
    Othman, R. A.
    Ahmed, N. S.
    ADVANCED STEEL CONSTRUCTION, 2010, 6 (03): : 831 - 851
  • [35] A meshfree approach for analysis and computational modeling of non-linear Schrodinger equation
    Jiwari, Ram
    Kumar, Sanjay
    Mittal, R. C.
    Awrejcewicz, Jan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
  • [36] Improved shell element for geometrically non-linear analysis of thin-walled structures
    Rezaiee-Pajand, Mohammad
    Masoodi, Amir R.
    Arabi, Elias
    PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS-STRUCTURES AND BUILDINGS, 2022, 175 (04) : 347 - 356
  • [37] The interplay of the collisionless non-linear thin-shell instability with the ion acoustic instability
    Dieckmann, M. E.
    Folini, D.
    Walder, R.
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2017, 465 (04) : 4240 - 4248
  • [38] Corotational non-linear analysis of thin plates and shells using a new shell element
    Khosravi, Peyman
    Ganesan, Rajamohan
    Sedaghati, Ramin
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (04) : 859 - 885
  • [39] Generalized Energy-Momentum Method for non-linear adaptive shell dynamics
    Kuhl, Detlef
    Ramm, Ekkehard
    Computer Methods in Applied Mechanics and Engineering, 1999, 178 (03): : 343 - 366
  • [40] The post-processed Galerkin method applied to non-linear shell vibrations
    Laing, CR
    McRobie, A
    Thompson, JMT
    DYNAMICS AND STABILITY OF SYSTEMS, 1999, 14 (02): : 163 - 181
12345