S. Askin et Rt. Fenner, LOCAL BOUNDARY INTEGRAL-EQUATION ANALYSIS OF ELASTOSTATICS PROBLEMS USING SERIES EXPANSIONS, Applied mathematical modelling, 18(5), 1994, pp. 255-264
Citations number
11
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
Local boundary integral equations of two-dimensional elastostatics are
derived by differentiating the conventional zero-order integral equat
ions of the direct formulation at an internal point. The unknowns of t
hese higher-order integral equations, together with those of the zero-
order ones, are approximated by series (Taylor or Fourier), which use
either harmonic or biharmonic functions. This makes it possible to det
ermine the variables of interest in a small preselected region of the
solution domain, without the need to solve the problem over the rest o
f the boundary. In the numerical implementation of the integral equati
ons, three possible approaches, namely, Airy's stress function (biharm
onic), Neuber-Papkovich (harmonic), and direct expansion of integral e
quations (biharmonic) are considered Numerical results from three test
cases, including a stress concentration problem, are used to illustra
te the applicability of the method to elastic stress analysis problems
.