skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Variationally consistent coupling of non-matching discretizations for large deformation problems

Abstract

Not provided.

Authors:
; ; ;
Publication Date:
Research Org.:
Purdue Univ., West Lafayette, IN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1533295
DOE Contract Number:  
SC0008629
Resource Type:
Journal Article
Journal Name:
Computational Mechanics
Additional Journal Information:
Journal Volume: 60; Journal Issue: 3; Journal ID: ISSN 0178-7675
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
Mathematics; Mechanics

Citation Formats

Wang, Xiaowo, Prakash, Arun, Chen, Jiun-Shyan, and Taciroglu, Ertugrul. Variationally consistent coupling of non-matching discretizations for large deformation problems. United States: N. p., 2017. Web. doi:10.1007/s00466-017-1417-0.
Wang, Xiaowo, Prakash, Arun, Chen, Jiun-Shyan, & Taciroglu, Ertugrul. Variationally consistent coupling of non-matching discretizations for large deformation problems. United States. doi:10.1007/s00466-017-1417-0.
Wang, Xiaowo, Prakash, Arun, Chen, Jiun-Shyan, and Taciroglu, Ertugrul. Thu . "Variationally consistent coupling of non-matching discretizations for large deformation problems". United States. doi:10.1007/s00466-017-1417-0.
@article{osti_1533295,
title = {Variationally consistent coupling of non-matching discretizations for large deformation problems},
author = {Wang, Xiaowo and Prakash, Arun and Chen, Jiun-Shyan and Taciroglu, Ertugrul},
abstractNote = {Not provided.},
doi = {10.1007/s00466-017-1417-0},
journal = {Computational Mechanics},
issn = {0178-7675},
number = 3,
volume = 60,
place = {United States},
year = {2017},
month = {5}
}

Works referenced in this record:

Coupling of smooth particle hydrodynamics with the finite element method
journal, September 1994


Nodal integration of the element-free Galerkin method
journal, December 1996

  • Beissel, Stephen; Belytschko, Ted
  • Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4
  • DOI: 10.1016/S0045-7825(96)01079-1

Element-free Galerkin methods
journal, January 1994

  • Belytschko, T.; Lu, Y. Y.; Gu, L.
  • International Journal for Numerical Methods in Engineering, Vol. 37, Issue 2
  • DOI: 10.1002/nme.1620370205

A coupled finite element-element-free Galerkin method
journal, January 1995

  • Belytschko, T.; Organ, D.; Krongauz, Y.
  • Computational Mechanics, Vol. 17, Issue 3
  • DOI: 10.1007/BF00364080

Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations
journal, February 2000


An arbitrary order variationally consistent integration for Galerkin meshfree methods: A VARIATIONALLY CONSISTENT INTEGRATION FOR MESHFREE METHODS
journal, June 2013

  • Chen, Jiun-Shyan; Hillman, Michael; Rüter, Marcus
  • International Journal for Numerical Methods in Engineering, Vol. 95, Issue 5
  • DOI: 10.1002/nme.4512

Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures
journal, December 1996

  • Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang
  • Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4
  • DOI: 10.1016/S0045-7825(96)01083-3

A stabilized conforming nodal integration for Galerkin mesh-free methods
journal, January 2000


An improved interface element with variable nodes for non-matching finite element meshes
journal, July 2005

  • Cho, Young-Sam; Jun, Sukky; Im, Seyoung
  • Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issue 27-29
  • DOI: 10.1016/j.cma.2004.08.002

High-order mortar-based element applied to nonlinear analysis of structural contact mechanics
journal, September 2015

  • Dias, A. P. C.; Serpa, A. L.; Bittencourt, M. L.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 294
  • DOI: 10.1016/j.cma.2015.05.013

Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
journal, March 2009

  • Dickopf, Thomas; Krause, Rolf
  • International Journal for Numerical Methods in Engineering, Vol. 77, Issue 13
  • DOI: 10.1002/nme.2481

A method for connecting dissimilar finite element meshes in two dimensions
journal, June 2000


Methods for connecting dissimilar three-dimensional finite element meshes
journal, February 2000


An introduction to programming the meshless Element F reeGalerkin method
journal, September 1998

  • Dolbow, J.; Belytschko, T.
  • Archives of Computational Methods in Engineering, Vol. 5, Issue 3
  • DOI: 10.1007/BF02897874

Numerical integration of the Galerkin weak form in meshfree methods
journal, April 1999


A method of finite element tearing and interconnecting and its parallel solution algorithm
journal, October 1991

  • Farhat, Charbel; Roux, Francois-Xavier
  • International Journal for Numerical Methods in Engineering, Vol. 32, Issue 6
  • DOI: 10.1002/nme.1620320604

NURBS approximation of surface/surface intersection curves
journal, January 1994

  • Bajaj, Chandrajit L.; Xu, Guoliang
  • Advances in Computational Mathematics, Vol. 2, Issue 1
  • DOI: 10.1007/BF02519033

Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions
journal, August 2010

  • Fili, Abdeljalil; Naji, Ahmed; Duan, Yong
  • Journal of Computational and Applied Mathematics, Vol. 234, Issue 8
  • DOI: 10.1016/j.cam.2010.03.010

Frictionless 2D Contact formulations for finite deformations based on the mortar method
journal, April 2005


A new dual mortar method for curved interfaces: 2D elasticity
journal, January 2005

  • Flemisch, B.; Puso, M. A.; Wohlmuth, B. I.
  • International Journal for Numerical Methods in Engineering, Vol. 63, Issue 6
  • DOI: 10.1002/nme.1300

A domain decomposition method on nested domains and nonmatching grids
journal, January 2004

  • Flemisch, Bernd; Wohlmuth, Barbara I.
  • Numerical Methods for Partial Differential Equations, Vol. 20, Issue 3
  • DOI: 10.1002/num.10095

The mosaic of high performance domain Decomposition Methods for Structural Mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods
journal, August 2003

  • Fragakis, Yannis; Papadrakakis, Manolis
  • Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 35-36
  • DOI: 10.1016/S0045-7825(03)00374-8

A finite element method for the simulation of strong and weak discontinuities in solid mechanics
journal, August 2004

  • Hansbo, Anita; Hansbo, Peter
  • Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 33-35
  • DOI: 10.1016/j.cma.2003.12.041

A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
journal, February 2005


An adaptive approach with the Element-Free-Galerkin method
journal, August 1998


Element-free Galerkin methods in combination with finite element approaches
journal, August 1996


Interface element method (IEM) for a partitioned system with non-matching interfaces
journal, May 2002


Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
journal, January 2003

  • Laursen, T. A.; Heinstein, M. W.
  • International Journal for Numerical Methods in Engineering, Vol. 57, Issue 9
  • DOI: 10.1002/nme.721

A simple algorithm for localized construction of non-matching structural interfaces
journal, January 2002

  • Park, K. C.; Felippa, C. A.; Rebel, G.
  • International Journal for Numerical Methods in Engineering, Vol. 53, Issue 9
  • DOI: 10.1002/nme.374

Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
journal, January 2012

  • Popp, A.; Wohlmuth, B. I.; Gee, M. W.
  • SIAM Journal on Scientific Computing, Vol. 34, Issue 4
  • DOI: 10.1137/110848190

A FETI-based multi-time-step coupling method for Newmark schemes in structural dynamics
journal, January 2004

  • Prakash, A.; Hjelmstad, K. D.
  • International Journal for Numerical Methods in Engineering, Vol. 61, Issue 13
  • DOI: 10.1002/nme.1136

Computationally efficient multi-time-step method for partitioned time integration of highly nonlinear structural dynamics
journal, March 2014


A 3D mortar method for solid mechanics
journal, December 2003

  • Puso, Michael A.
  • International Journal for Numerical Methods in Engineering, Vol. 59, Issue 3
  • DOI: 10.1002/nme.865

A mortar segment-to-segment contact method for large deformation solid mechanics
journal, February 2004

  • Puso, Michael A.; Laursen, Tod A.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 6-8
  • DOI: 10.1016/j.cma.2003.10.010

Non-conforming mesh gluing in the finite elements method
journal, July 1995

  • Quiroz, Luis; Beckers, Pierre
  • International Journal for Numerical Methods in Engineering, Vol. 38, Issue 13
  • DOI: 10.1002/nme.1620381303

Coupling of mesh-free methods with finite elements: basic concepts and test results
journal, April 2006

  • Rabczuk, T.; Xiao, S. P.; Sauer, M.
  • Communications in Numerical Methods in Engineering, Vol. 22, Issue 10
  • DOI: 10.1002/cnm.871

A class of mixed assumed strain methods and the method of incompatible modes
journal, June 1990

  • Simo, J. C.; Rifai, M. S.
  • International Journal for Numerical Methods in Engineering, Vol. 29, Issue 8
  • DOI: 10.1002/nme.1620290802

On the Variational Foundations of Assumed Strain Methods
journal, March 1986

  • Simo, J. C.; Hughes, T. J. R.
  • Journal of Applied Mechanics, Vol. 53, Issue 1
  • DOI: 10.1115/1.3171737

Impact of cylinders on a rigid boundary
journal, March 1973

  • Wilkins, Mark L.; Guinan, Michael W.
  • Journal of Applied Physics, Vol. 44, Issue 3
  • DOI: 10.1063/1.1662328

Two dimensional mortar contact methods for large deformation frictional sliding
journal, January 2005

  • Yang, Bin; Laursen, Tod A.; Meng, Xiaonong
  • International Journal for Numerical Methods in Engineering, Vol. 62, Issue 9
  • DOI: 10.1002/nme.1222