Automatic coupling of ABAQUS and a boundary element code for dynamic elastoplastic problems

Abstract Based on a FE–BE coupling algorithm, an automatic implementation procedure for the coupling of the ABAQUS with a self-written linear elastic BE code is introduced for dynamic elastoplastic problems. User subroutine (UEL) is developed to enable the incorporation of the BE capabilities within the ABAQUS. Each closed BE domain in the mixed FEM/BEM model is defined as a finite super-element for which the effective stiffness and effective forces are generated by the BE code and hence can be assembled to the global FE formulation. The user can not only benefit from the powerful pre- and post-disposal functions of the ABAQUS, but also deal with systems with infinite extension by using the BEM as a supplement. Basic steps of the automatic coupling procedure are explained and necessary background information is provided. The analysis is conducted through several examples regarding 2D time domain responses. The results of the analysis document a very good agreement between the present solutions and analytical and other numerical results, confirming thus a successful implementation of the developed automatic coupling procedure.

[1]  G. Kuhn,et al.  Automatic coupling of a boundary element code with a commercial finite element system , 2008, Adv. Eng. Softw..

[2]  Delfim Soares,et al.  FEM-BEM iterative coupling procedures to analyze interacting wave propagation models: fluid-fluid, solid-solid and fluid-solid analyses , 2012 .

[3]  Glaucio H. Paulino,et al.  Computational implementation of the PPR potential-based cohesive model in ABAQUS: Educational perspective , 2012 .

[4]  Nasser Khalili,et al.  Non‐linear seismic behaviour of concrete gravity dams using coupled finite element–boundary element technique , 1999 .

[5]  Delfim Soares,et al.  Non-linear elastodynamic analysis by the BEM : an approach based on the iterative coupling of the D-BEM and TD-BEM formulations , 2005 .

[6]  A new method for coupling of boundary element method and finite element method , 1992 .

[7]  O. Estorff,et al.  Coupled BEM/FEM approach for nonlinear soil/structure interaction , 2000 .

[8]  W. Mansur,et al.  Time discontinuous linear traction approximation in time-domain BEM: 2-D elastodynamics , 2000 .

[9]  Wael Elleithy,et al.  Some Recent Developments in Coupling of Finite Element and Boundary Element Methods - Part I: An Overview , 2014 .

[10]  J.A.M. Carrer,et al.  A MORE STABLE SCHEME FOR BEM/FEM COUPLING APPLIED TO TWO-DIMENSIONAL ELASTODYNAMICS , 2001 .

[11]  W. Mansur,et al.  A linear θ method applied to 2D time‐domain BEM , 1998 .

[12]  Quadratic time domain BEM formulation for 2D elastodynamic transient analysis , 1997 .

[13]  C. Dong.  An iterative FE–BE coupling method for elastostatics , 2001 .

[14]  Tamara Nestorović,et al.  Implementation of a user defined piezoelectric shell element for analysis of active structures , 2012 .

[15]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[16]  Evert C. Lawton,et al.  An iterative finite element-boundary element algorithm , 1996 .

[17]  C. Chien,et al.  A particular integral BEM/time-discontinuous FEM methodology for solving 2-D elastodynamic problems , 2001 .

[18]  D. Owen,et al.  Finite elements in plasticity : theory and practice , 1980 .

[19]  I. Adam,et al.  Nonlinear Seismic Analysis of Irregular Sites and Underground Structures by Coupling Bem to Fem , 1997 .

[20]  O. von Estorff,et al.  Iterative coupling of BEM and FEM for nonlinear dynamic analyses , 2004 .

[21]  Eugenio Giner,et al.  An Abaqus implementation of the extended finite element method , 2009 .

[22]  Lallit Anand,et al.  A finite element implementation of a coupled diffusion-deformation theory for elastomeric gels , 2015 .

[23]  O. Zienkiewicz,et al.  The coupling of the finite element method and boundary solution procedures , 1977 .

[24]  D. Beskos,et al.  Dynamic elastoplastic analysis by BEM/FEM , 1994 .

[25]  M. Bonnet,et al.  Symmetric-Iterative Solution of Coupled BE and FE Discretizations for Elastoplastics , 1999 .

[26]  J. Domínguez.  Boundary elements in dynamics , 1993 .

[27]  Herbert A. Mang,et al.  A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies , 1986 .

[28]  Delfim Soares,et al.  An Overview of Recent Advances in the Iterative Analysis of Coupled Models for Wave Propagation , 2014, J. Appl. Math..

[29]  O. von Estorff,et al.  Fluid-structure interaction by coupling BEM and nonlinear FEM , 2002 .

[30]  Wing Kam Liu,et al.  A variationally coupled FE-BE method for elasticity and fracture mechanics , 1991 .