TITLE

Fundamental-solution-based hybrid FEM for plane elasticity with special elements

AUTHOR(S)
Wang, Hui; Qin, Qing-Hua
PUB. DATE
November 2011
SOURCE
Computational Mechanics;Nov2011, Vol. 48 Issue 5, p515
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The present paper develops a new type of hybrid finite element model with regular and special fundamental solutions (also known as Green's functions) as internal interpolation functions for analyzing plane elastic problems in structures weakened by circular holes. A variational functional used in the proposed model is first constructed, and then, the assumed intra-element displacement fields satisfying a priori the governing partial differential equations of the problem under consideration is constructed using a linear combination of fundamental solutions at a number of source points outside the element domain, as was done in the method of fundamental solutions. To ensure continuity of fields over inter-element boundaries, conventional shape functions are employed to construct the independent element frame displacement fields defined over the element boundary. The linkage of these two independent fields and the element stiffness equations in terms of nodal displacements are enforced by the minimization of the proposed variational functional. Special-purpose Green's functions associated with circular holes are used to construct a special circular hole element to effectively handle stress concentration problems without complicated local mesh refinement or mesh regeneration around the hole. The practical efficiency of the proposed element model is assessed via several numerical examples.
ACCESSION #
66440884

 

Related Articles

  • A NUMERICAL STUDY OF ENERGETIC BEM-FEM APPLIED TO WAVE PROPAGATION IN 2D MULTIDOMAINS. Aimi, A.; Desiderio, L.; Diligenti, M.; Guardasoni, C. // Publications de l'Institut Mathematique;2014, Vol. 96 Issue 110, p5 

    Starting from a recently developed energetic space-time weak formulation of boundary integral equations related to wave propagation problems defined on single and multidomains, a coupling algorithm is presented, which allows a flexible use of finite and boundary element methods as local...

  • Mesh insensitive formulation for initiation and growth of shear bands using mixed finite elements. McAuliffe, Colin; Waisman, Haim // Computational Mechanics;May2013, Vol. 51 Issue 5, p807 

    An Implicit Nonlinearly Consistent (INC) numerical solution of a partial differential equation (PDE) model for shear bands, which includes a thermo-visco-plastic flow rule and finite thermal conductivity, is presented, and is found to be insensitive to mesh size. Insensitivity is achieved...

  • A Pian-Sumihara type element for modeling shear bands at finite deformation. McAuliffe, Colin; Waisman, Haim // Computational Mechanics;May2014, Vol. 53 Issue 5, p925 

    A monolithic numerical solution of a partial differential equation (PDE) model for shear bands, which includes a thermal softening rate dependent plastic flow rule and finite thermal conductivity, is presented. The formulation accounts for large deformation kinematics and includes incrementally...

  • NUMERICAL ANALYSIS WITH FINITE AND BOUNDARY ELEMENTS OF THERMAL FIELDS IN STEADY STATE REGIME. S├órbu, Ioan; Popina, Oana // Journal of Engineering & Applied Sciences;2011, Vol. 6 Issue 2, p13 

    Solving the differential equations of heat conduction, the temperature in each point of the body can be determined. However, in the case of bodies with boundary surface of sophisticated geometry no analytical method can be used. In this case the use of numerical methods becomes necessary. The...

  • Calculation of the bistatic target strength of a complex multiresonant shell by the finite element method. Salin, M.; Sokov, E.; Suvorov, A. // Acoustical Physics;Sep2011, Vol. 57 Issue 5, p722 

    A method for calculating the bistatic target strength of a complex elastic structure with characteristic linear dimensions of one to ten wavelengths is developed and tested. The proposed method is based on the finite-element approach to modeling the mechanoacoustic properties of the object under...

  • Finite Element Analysis with Paraxial & Viscous Boundary Conditions for Elastic Wave Propagation. Hee Seok Kim // Engineering;Dec2012, Vol. 4 Issue 12, p843 

    In this study, two studies are performed. One is to apply paraxial boundary conditions which are local boundary conditions based on paraxial approximations of the one-way wave equations to finite element analysis. To do this, a penalty functional is proposed and the existence and uniqueness of...

  • Merging of the indirect discrete boundary elements to the finite element analysis and its application to two dimensional elastostatics problems. Boutchicha, D.; Rahmani, O.; Abdelkader, M.; Sahli, A.; Belarbi, A. // International Journal of Applied Engineering Research;2007, Vol. 2 Issue 3, p441 

    This work presents an implementation of a combined boundary element finite element analysis. An indirect discrete boundary element method, where the fundamental solutions are employed as the expansion functions and their singularities are located outside the domain of the problem is used for the...

  • Convergence rates for the coupling of FEM and collocation BEM. BRINK, ULRICH; STEPHAN, ERNST P. // IMA Journal of Numerical Analysis;1996, Vol. 16 Issue 1, p93 

    We prove convergence of the coupling of finite and boundary elements where Galerkin's methd is used for finite elements and collocation for boundary elements. We consider linear elliptic boundary value problems in two dimensions, in particular problems in elasticity. The mesh width k of the...

  • Linear complementarity formulation for 3D frictional sliding problems. Kaven, J.; Hickman, Stephen; Davatzes, Nicholas; Mutlu, Ovunc // Computational Geosciences;Jun2012, Vol. 16 Issue 3, p613 

    Frictional sliding on quasi-statically deforming faults and fractures can be modeled efficiently using a linear complementarity formulation. We review the formulation in two dimensions and expand the formulation to three-dimensional problems including problems of orthotropic friction. This...

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