TITLE

Three dimensional automatic refinement method for transient small strain elastoplastic finite element computations

AUTHOR(S)
Biotteau, E.; Gravouil, A.; Lubrecht, A.; Combescure, A.
PUB. DATE
January 2012
SOURCE
Computational Mechanics;Jan2012, Vol. 49 Issue 1, p123
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, the refinement strategy based on the 'Non-Linear Localized Full MultiGrid' solver originally published in Int. J. Numer. Meth. Engng 84(8):947-971 () for 2-D structural problems is extended to 3-D simulations. In this context, some extra information concerning the refinement strategy and the behavior of the error indicators are given. The adaptive strategy is dedicated to the accurate modeling of elastoplastic materials with isotropic hardening in transient dynamics. A multigrid solver with local mesh refinement is used to reduce the amount of computational work needed to achieve an accurate calculation at each time step. The locally refined grids are automatically constructed, depending on the user prescribed accuracy. The discretization error is estimated by a dedicated error indicator within the multigrid method. In contrast to other adaptive procedures, where grids are erased when new ones are generated, the previous solutions are used recursively to reduce the computing time on the new mesh. Moreover, the adaptive strategy needs no costly coarsening method as the mesh is reassessed at each time step. The multigrid strategy improves the convergence rate of the non-linear solver while ensuring the information transfer between the different meshes. It accounts for the influence of localized non-linearities on the whole structure. All the steps needed to achieve the adaptive strategy are automatically performed within the solver such that the calculation does not depend on user experience. This paper presents three-dimensional results using the adaptive multigrid strategy on elastoplastic structures in transient dynamics and in a linear geometrical framework. Isoparametric cubic elements with energy and plastic work error indicators are used during the calculation.
ACCESSION #
69653750

 

Related Articles

  • Nonlinear stability of a single-layer hybrid grid shell. Cai, Jianguo; Xu, Yixiang; Feng, Jian; Zhang, Jin // Journal of Civil Engineering & Management;2012, Vol. 18 Issue 5, p752 

    This paper presents a study of a hybrid grid shell, which is made of quadrangular meshes diagonally stiffened by pre-tensioned thin cables. The construction of the hybrid structure by translating a spatial curve against another spatial curve is firstly described. Then the elasto-plastic buckling...

  • Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver. Passieux, Jean-Charles; RĂ©thorĂ©, Julien; Gravouil, Anthony; Baietto, Marie-Christine // Computational Mechanics;Dec2013, Vol. 52 Issue 6, p1381 

    A Local/global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation. It is based on a three scale multigrid and extended finite element method, that was proposed recently for the direct estimation of stress intensity factors of static cracks. The...

  • Multi-grid Beam and Warming scheme for the simulation of unsteady flow in an open channel. Rahimpour, Majid; Tavakoli, Ali // Water SA;Apr2011, Vol. 37 Issue 2, p229 

    In this paper, a multi-grid algorithm is applied to a large-scale block matrix that is produced from a Beam and Warming scheme. The Beam and Warming scheme is used in the simulation of unsteady flow in an open channel. The Gauss-Seidel block-wise iteration method is used for a smoothing process...

  • Linear strain hardening in elastoplastic indentation contact. Sakai, M.; Akatsu, T.; Numata, S.; Matsuda, K. // Journal of Materials Research;Sep2003, Vol. 18 Issue 9, p2087 

    Presents a study which investigated the effect of linear strain-hardening on indentation behavior of elastoplastics. Examination of the hardness of linear strain-hardening materials; Examination of the Meyer hardness of elastic-perfectly-plastic solids; Finite-element analysis of indentation...

  • Elasto-plastic deformation of Colony Boundaries in Pearlite Microstructure by Finite Element Analyses. ROSLAN L.; OHASHI T.; YASUDA Y.; SURUGA C. // Applied Mechanics & Materials;2015, Vol. 786, p33 

    Elasto-plastic tensile deformations in multi-colony structures are studied by finite element analyses to investigate how the deformation in multi-colony structures influence the strain concentration around colony boundary. The results obtained from plastic strain distributions show that plastic...

  • MULTIGRID METHODS FOR THE GENERALIZED STOKES EQUATIONS BASED ON MIXED FINITE ELEMENT METHODS. Qing-ping Deng; Xiao-ping Feng // Journal of Computational Mathematics;Mar2002, Vol. 20 Issue 2, p129 

    Examines multigrid methods for the generalized stationary Stokes equations which are discretized by various mixed finite element methods. Information on a multigrid algorithm; preliminaries of convergence; Application of the general multigrid algorithm.

  • A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids. Braess, D.; Dryja, M.; Hackbush, W. // Computing;1999, Vol. 63 Issue 1, p1 

    Nonconforming finite element discretisations require special care in the construction of the prolongation and restriction in the multigrid process. In this paper, a general scheme is proposed, which guarantees the approximation property. As an example, the technique is applied to the...

  • A V-CYCLE MULTIGRID METHOD FOR THE PLATE BENDING PROBLEM DISCRETIZED BY NONCONFORMING FINITE ELEMENTS. Xue-jun Xu; Li-kang Li // Journal of Computational Mathematics;Sep99, Vol. 17 Issue 5, p533 

    Establishes an optimal V-cycle multigrid algorithm for some famous nonconforming plate elements. Optimal multigrid methods for the P1 and Wilson nonconforming elements; Optimal W-cycle multigrid methods for the Morely element; V-cycle multigrid proposed for the Bonger-Fox-Schmit conforming...

  • Bending Moments Distribution at the Main Structural Elements of Skew Deck-Slab and Their Implementation on Cost Effectiveness. Kakish, Maher // American Journal of Applied Sciences;2007, Vol. 4 Issue 12, p1036 

    The distribution of bending moments in T-beam deck slab varies from one T-beam to another. The design of T-beams should be based on the actual bending moments each beam is subjected to for the purpose of achieving economy especially in bridge deck slab, extended over big area. The saving in some...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics