A non-locking composite tetrahedron element for the combined finite discrete element method

Lei, Zhou; Rougier, Esteban; Knight, Earl E.; Frash, Luke; Carey, James William; Viswanathan, Hari S.

doi:10.1108/EC-09-2015-0268

Title: A non-locking composite tetrahedron element for the combined finite discrete element method

Abstract

Here, a number of validation cases considering different loading and boundary conditions and different materials for the proposed element are presented. A practical application of the use of the composite tetrahedral finite element is presented by quantitative comparisons of numerical model results against simple theoretical estimates and results from acrylic fracturing experiments. All of these examples clearly show the capability of the composite element in eliminating volumetric locking.

Authors:

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Mon Oct 03 00:00:00 EDT 2016

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1493546

Report Number(s):: LA-UR-15-27067
Journal ID: ISSN 0264-4401

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Engineering Computations

Additional Journal Information:: Journal Volume: 33; Journal Issue: 7; Journal ID: ISSN 0264-4401

Publisher:: Emerald Publishing Limited

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; volumetric locking; incompressible elasticity; multiplicative decomposition; composite tetrahedron element; combined finite-discrete method

Citation Formats


                    Lei, Zhou, Rougier, Esteban, Knight, Earl E., Frash, Luke, Carey, James William, and Viswanathan, Hari S. A non-locking composite tetrahedron element for the combined finite discrete element method.  United States: N. p., 2016. 
Web.  doi:10.1108/EC-09-2015-0268.

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                    Lei, Zhou, Rougier, Esteban, Knight, Earl E., Frash, Luke, Carey, James William, & Viswanathan, Hari S. A non-locking composite tetrahedron element for the combined finite discrete element method.  United States.  https://doi.org/10.1108/EC-09-2015-0268

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                    Lei, Zhou, Rougier, Esteban, Knight, Earl E., Frash, Luke, Carey, James William, and Viswanathan, Hari S. Mon .  
"A non-locking composite tetrahedron element for the combined finite discrete element method".  United States.  https://doi.org/10.1108/EC-09-2015-0268.  https://www.osti.gov/servlets/purl/1493546.

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@article{osti_1493546,

  title        = {A non-locking composite tetrahedron element for the combined finite discrete element method},

  author       = {Lei, Zhou and Rougier, Esteban and Knight, Earl E. and Frash, Luke and Carey, James William and Viswanathan, Hari S.},

  abstractNote = {Here, a number of validation cases considering different loading and boundary conditions and different materials for the proposed element are presented. A practical application of the use of the composite tetrahedral finite element is presented by quantitative comparisons of numerical model results against simple theoretical estimates and results from acrylic fracturing experiments. All of these examples clearly show the capability of the composite element in eliminating volumetric locking.},

  doi          = {10.1108/EC-09-2015-0268},

  journal      = {Engineering Computations},

  number       = 7,

  volume       = 33,

  place        = {United States},

  year         = {Mon Oct 03 00:00:00 EDT 2016},

  month        = {Mon Oct 03 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referencing / citing this record:

Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite‐discrete element method
journal, March 2019

Lei, Zhou; Rougier, Esteban; Munjiza, Antonio
International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 9
DOI: 10.1002/nag.2929

The combined plastic and discrete fracture deformation framework for finite‐discrete element methods
journal, December 2019

Rougier, Esteban; Munjiza, Antonio; Lei, Zhou
International Journal for Numerical Methods in Engineering, Vol. 121, Issue 5
DOI: 10.1002/nme.6255

A Concept of Cell-Based Smoothed Finite Element Method Using 10-Node Tetrahedral Elements (CS-FEM-T10) for Large Deformation Problems of Nearly Incompressible Solids
journal, October 2019

Onishi, Yuki
International Journal of Computational Methods, Vol. 17, Issue 02
DOI: 10.1142/s0219876218450093

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Title: A non-locking composite tetrahedron element for the combined finite discrete element method

Abstract

Citation Formats

Combined single and smeared crack model in combined finite-discrete element analysis journal, January 1999

Mixed finite element methods — Reduced and selective integration techniques: A unification of concepts journal, July 1978

Computational modelling of impact damage in brittle materials journal, August 1996

Fracture-permeability behavior of shale journal, September 2015

Penalty function method for combined finite-discrete element systems comprising large number of separate bodies journal, January 2000

F-bar-based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking journal, January 2005

Fracture and fragmentation of thin shells using the combined finite-discrete element method: FRACTURE AND FRAGMENTATION OF THIN SHELLS journal, June 2013

Non-locking tetrahedral finite element for surgical simulation journal, July 2009

Formulation of implicit finite element methods for multiplicative finite deformation plasticity journal, March 1990

Validation of a three-dimensional Finite-Discrete Element Method using experimental results of the Split Hopkinson Pressure Bar test journal, September 2014

Assessment of crack initiation and propagation in rock from explosion-induced stress waves and gas expansion by cross-hole seismometry and FEM–DEM method journal, July 2015

Smoothed Finite Element Methods book, January 2010

Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes journal, March 2000

Fracture development around deep underground excavations: Insights from FDEM modelling journal, December 2014

MR linear contact detection algorithm journal, January 2006

Generalization of selective integration procedures to anisotropic and nonlinear media journal, September 1980

A combined finite‐discrete element method in transient dynamics of fracturing solids journal, February 1995

A mixed-enhanced formulation tetrahedral finite elements journal, January 2000

Reduced integration technique in general analysis of plates and shells journal, April 1971

Large scale simulation of red blood cell aggregation in shear flows journal, July 2013

The Combined Finite-Discrete Element Method book, January 2004

An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications journal, July 2001

Tetrahedral composite finite elements journal, January 2001

Design of simple low order finite elements for large strain analysis of nearly incompressible solids journal, August 1996

A new efficient explicit formulation for linear tetrahedral elements non-sensitive to volumetric locking for infinitesimal elasticity and inelasticity journal, July 2009

A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications journal, May 1998

A novel iterative direct-forcing immersed boundary method and its finite volume applications journal, February 2012

Triangles and tetrahedra in explicit dynamic codes for solids journal, October 1998

NBS contact detection algorithm for bodies of similar size journal, September 1998

Modelling of massive particulates for breakwater engineering using coupled FEMDEM and CFD journal, December 2008

Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite‐discrete element method journal, March 2019

The combined plastic and discrete fracture deformation framework for finite‐discrete element methods journal, December 2019

A Concept of Cell-Based Smoothed Finite Element Method Using 10-Node Tetrahedral Elements (CS-FEM-T10) for Large Deformation Problems of Nearly Incompressible Solids journal, October 2019

Combined single and smeared crack model in combined finite-discrete element analysis
journal, January 1999

Mixed finite element methods — Reduced and selective integration techniques: A unification of concepts
journal, July 1978

Computational modelling of impact damage in brittle materials
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Fracture-permeability behavior of shale
journal, September 2015

Penalty function method for combined finite-discrete element systems comprising large number of separate bodies
journal, January 2000

F-bar-based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
journal, January 2005

Fracture and fragmentation of thin shells using the combined finite-discrete element method: FRACTURE AND FRAGMENTATION OF THIN SHELLS
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Non-locking tetrahedral finite element for surgical simulation
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Formulation of implicit finite element methods for multiplicative finite deformation plasticity
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Validation of a three-dimensional Finite-Discrete Element Method using experimental results of the Split Hopkinson Pressure Bar test
journal, September 2014

Assessment of crack initiation and propagation in rock from explosion-induced stress waves and gas expansion by cross-hole seismometry and FEM–DEM method
journal, July 2015

Smoothed Finite Element Methods
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Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
journal, March 2000

Fracture development around deep underground excavations: Insights from FDEM modelling
journal, December 2014

MR linear contact detection algorithm
journal, January 2006

Generalization of selective integration procedures to anisotropic and nonlinear media
journal, September 1980

A combined finite‐discrete element method in transient dynamics of fracturing solids
journal, February 1995

A mixed-enhanced formulation tetrahedral finite elements
journal, January 2000

Reduced integration technique in general analysis of plates and shells
journal, April 1971

Large scale simulation of red blood cell aggregation in shear flows
journal, July 2013

The Combined Finite-Discrete Element Method
book, January 2004

An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications
journal, July 2001

Tetrahedral composite finite elements
journal, January 2001

Design of simple low order finite elements for large strain analysis of nearly incompressible solids
journal, August 1996

A new efficient explicit formulation for linear tetrahedral elements non-sensitive to volumetric locking for infinitesimal elasticity and inelasticity
journal, July 2009

A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications
journal, May 1998

A novel iterative direct-forcing immersed boundary method and its finite volume applications
journal, February 2012

Triangles and tetrahedra in explicit dynamic codes for solids
journal, October 1998

NBS contact detection algorithm for bodies of similar size
journal, September 1998

Modelling of massive particulates for breakwater engineering using coupled FEMDEM and CFD
journal, December 2008

Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite‐discrete element method
journal, March 2019

The combined plastic and discrete fracture deformation framework for finite‐discrete element methods
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A Concept of Cell-Based Smoothed Finite Element Method Using 10-Node Tetrahedral Elements (CS-FEM-T10) for Large Deformation Problems of Nearly Incompressible Solids
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