... of a two-dimensional elastic body have been established. By using the relations, the singular behaviors of the unknown boundary variables at a corner of an elastic body can be obtained before solving the boundary value problem by using the boundary element method (BEM). Especially, if the boundary...

... sheets. As such, the loading on graphite at the nanoscale is characterized by the membrane force, the bending moment, and the shear force in the graphene sheets. Cylindrical nanoindentation of graphite is analyzed by applying a special boundary element method that employs Green’s function for multilayers...

... in a radially graded material, the numerical results for cylindrical geometries are in excellent agreement with the analytical solution deduced herein. 15 06 2007 14 03 2008 11 07 2008 boundary integral equations boundary-elements methods elasticity functionally graded materials...

...++ and verified using several numerical examples. For the models studied, the results using the new boundary element algorithms match well with the finite element results and clearly demonstrate the feasibility of the new boundary element approach for 3D contact analysis. boundary-elements methods elasticity...

..., as specified by the Dundurs correspondence principle. The results for nearly circular pores can be expressed in terms of the pore compressibility. The pore compressibilities given by the perturbation solution are tested against numerical values obtained using the boundary element method, and are shown to have...

..., Mogilevskaya, and Crouch (2003, ASME J. Appl. Mech., 70, pp. 619–621) . The numerical results are obtained using the symmetric-Galerkin boundary element method in conjunction with an improved quarter-point element for evaluating the stress intensity factors by means of the displacement correlation technique...

... in the composite. The purpose of this paper is to develop a micromechanical model, using the boundary element method, to generate information aiming to explain and support the mechanism of appearance and propagation of the damage. To this end, a single fiber surrounded by the matrix and with a partial debonding...

... that lattice Green’s functions allow one to reduce such problems to algebraic problems whose size is comparable to that of the nonlinear zone. The proposed method is similar to a hybrid finite-boundary element method in which the interior nonlinear region is treated with a finite element method...

... certain advantages over the conventional boundary element method. The exact solution for a single inclusion is derived using the present formulation and matches well with the Honein et al.’s solution by using the complex-variable formulation ( Honein, E., Honein, T., and Hermann, G., 1992, Appl. Math., 50...

...R. Balderrama; A. P. Cisilino; M. Martinez A boundary element method (BEM) implementation of the energy domain integral (EDI) methodology for the numerical analysis of three-dimensional fracture problems considering thermal effects is presented in this paper. The EDI is evaluated from a domain...

...Jin-Yeon Kim concrete boundary-elements methods elastic waves This discussion intends to make comments on the recent article of Sato et al. ( 1 ) regarding their descriptions of self-consistency conditions for the effective medium in the multiple scattering theory. Equations (13...

... that of the approximation methods listed in the Cai and Faber paper. microcracks boundary-elements methods It is well known that microcrack toughening has been the subject of numerous modeling studies. The two basic approaches are continuum modeling ( 1 2 3 ) and discrete modeling ( 4 5 6 7 8 9...

... on the boundary element method. A model of the concentrated charge at the end of nanotubes is proposed. The charge distribution for a clamped cantilever nanotube is also computed and discussed. The findings here reported are of particular usefulness in the design and modeling of electrostatic actuated nanotube...

... the boundary element method is implemented. plates (structures) crack-edge stress field analysis surface cracks fatigue cracks elasticity internal stresses boundary-elements methods Now, consider arbitrary displacement discontinuity distributions along element length 2...

...Hirotaka Sato; Michihiro Kitahara; Tetsuo Shoji Advances in computing have allowed for the development of high performance concretes mathematically. We develop a method which combines the generalized self consistent model together with the boundary element method and the statistical averaging...

...Y. J. Liu; N. Nishimura; Y. Otani; T. Takahashi; X. L. Chen; H. Munakata A new boundary element method (BEM) is developed for three-dimensional analysis of fiber-reinforced composites based on a rigid-inclusion model. Elasticity equations are solved in an elastic domain containing inclusions which...

...˜as, J., 1997, Boundary Element Method, Fundamentals and Applications , Oxford University Press, Oxford, UK. Ghosh , N. , Rajiyah , H. , Ghosh , S. , and Mukherjee , S. , 1986 , “ A New Boundary Element Method Formulation for Linear Elasticity ,” ASME J. Appl. Mech. , 53 , pp...

...G. Y. Yu Based on the assumption that solutions from different methods should be the same, the relationship among weakly singular, strongly singular and hypersingular matrices associated with symmetric Galerkin boundary element method (SGBEM) is derived in this paper. Hypersingularity is avoided...

...) and a complex variables boundary element method (Mogilevskaya, 1996, Comput. Mech., 18 , pp. 127–138). Our results agree with Helsing and Jonsson’s in all cases considered. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL...

...G. Y. Yu In this paper, a symmetric collocation boundary element method (SCBEM)/finite element method (FEM) coupling procedure is given and applied to a two-dimensional elastodynamic problem. The use of symmetry for the boundary element method not only saves memory storage but also enables...