The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics

Author:

Ladopoulos E. G.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference15 articles.

1. Ladopoulos, E. G.: On a new integration rule with the Gegenbauer polynomials for singular integral equations, used in the theory of elasticity. Ing. Archiv58, 35–46 (1988).

2. Ladopoulos, E. G.: On the numerical solution of the finite-part singular integral equations of the first and the second kind, used in fracture mechanics. Comp. Meth. Appl. Mech. Engng.65, 253–266 (1987).

3. Golberg, M. A.: The convergence of several algorithms for solving integral equations with finite-part integrals. J. Integr Equat.5, 329–340 (1983).

4. Zastrow, U.: Solution of the anisotropic elastostatical boundary value problems by singular integral equations. Acta Mechanica44, 59–71 (1982).

5. Danloy, B.: Numerical construction of Gaussian quadrature formulas for $$\int\limits_0^1 {( - Log x) \cdot x^a f(x) dx} $$ and $$\int\limits_0^\infty {E_m (x)f(x) dx} $$ . Math. Comput.27, 861–869 (1973).

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