A model for thin shells in the combined finite-discrete element method

Purpose To present a new numerical model for geometric nonlinear analysis of thin shell structures based on a combined finite-discrete element method. Design/methodology/approach The model uses rotation-free three node triangular finite elements with exact formulation for large rotations, large displacements in conjunction with small strains. Findings The presented numerical results related to behaviour of arbitrary shaped thin shell structures under large rotations and large displacement are in a good agreement with reference solutions. Originality/value This paper presents new computationally efficient numerical model for geometric nonlinear analysis and prediction of the behaviour of thin shell structures based on combined finite-discrete element method. The model has been implemented into the open source FDEM package ‘Yfdem’, and has been tested on simple benchmark problems.

[1]  E. Albuquerque,et al.  Transient dynamic analysis of shear deformable shallow shells using the boundary element method , 2015 .

[2]  Antonio Munjiza,et al.  A framework for grand scale parallelization of the combined finite discrete element method in 2d , 2014, CPM 2014.

[3]  Song Cen,et al.  A 4-node quadrilateral flat shell element formulated by the shape-free HDF plate and HSF membrane elements , 2016 .

[4]  Mojtaba Azhari,et al.  Geometrically nonlinear analysis of thick orthotropic plates with various geometries using simple HP-cloud method , 2016 .

[5]  A. Munjiza The Combined Finite-Discrete Element Method , 2004 .

[6]  Julian A. T. Dow,et al.  A Unified Approach to the Finite Element Method and Error Analysis Procedures , 1998 .

[7]  Hrvoje Smoljanović,et al.  A computationally efficient numerical model for a dynamic analysis of thin plates based on the combined finite–discrete element method , 2015 .

[8]  Antonio Munjiza,et al.  An M(M−1K)m proportional damping in explicit integration of dynamic structural systems , 1998 .

[9]  E. Ramm,et al.  A unified approach for shear-locking-free triangular and rectangular shell finite elements , 2000 .

[10]  G. Dhondt The Finite Element Method for Three-Dimensional Thermomechanical Applications , 2004 .

[11]  R. M. Natal Jorge,et al.  A natural neighbour meshless method with a 3D shell-like approach in the dynamic analysis of thin 3D structures , 2011 .

[12]  A. Munjiza The Combined Finite-Discrete Element Method: Munjiza/Discrete Element Method , 2004 .

[13]  A. Munjiza,et al.  Computational Mechanics of Discontinua: Munjiza/Computational Mechanics of Discontinua , 2011 .

[14]  A. Munjiza,et al.  Large Strain Finite Element Method: A Practical Course , 2015 .

[15]  Robert L. Taylor,et al.  Triangular finite elements with rotational degrees of freedom and enhanced strain modes , 2000 .

[16]  Phill-Seung Lee,et al.  The MITC3+ shell element in geometric nonlinear analysis , 2015 .

[17]  T. Belytschko,et al.  Analysis of thin shells by the Element-Free Galerkin method , 1996 .

[18]  Eugenio Oñate,et al.  Rotation-free triangular plate and shell elements , 2000 .

[19]  Ante Munjiza,et al.  Experimental validation of a computationally efficient beam element for combined finite–discrete element modelling of structures in distress , 2003 .

[20]  G. G. Schiava D’Albano,et al.  Space decomposition based parallelization solutions for the combined finite–discrete element method in 2D , 2014 .

[21]  Byung Chai Lee,et al.  Development of a strain-smoothed three-node triangular flat shell element with drilling degrees of freedom , 2014 .

[22]  Bernardin Peroš,et al.  MULTIPLICATIVE DECOMPOSITION BASED FDEM MODEL FOR MEMBRANE STRUCTURES , 2014 .

[23]  A. Munjiza,et al.  Fracture and fragmentation of thin shells using the combined finite–discrete element method , 2013 .

[24]  Laurent Daudeville,et al.  Multidomain finite and discrete elements method for impact analysis of a concrete structure , 2009 .

[25]  E. Ventsel,et al.  Thin Plates and Shells: Theory: Analysis, and Applications , 2001 .

[26]  D. Griffin,et al.  Finite-Element Analysis , 1975 .

[27]  M. H. Aliabadi,et al.  A boundary element method for dynamic plate bending problems , 2000 .

[28]  J-P Latham,et al.  Some computational and algorithmic developments in computational mechanics of discontinua , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[29]  Kyung K. Choi,et al.  Meshfree analysis and design sensitivity analysis for shell structures , 2002 .