On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals

DOI10.1016/0045-7825(87)90011-9zbMath0615.65034OpenAlexW1996168536MaRDI QIDQ1820553

E. G. Anastasselou, Nikolaos I. Ioakimidis

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90011-9

zbMATH Keywords

analytic functionsquadrature rulescrack problemsairfoilscomplex path-independent integralslocation of straight discontinuity intervals

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical quadrature and cubature formulas (65D32) Brittle damage (74R05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items

Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals ⋮ Application of complex path-independent integrals to problems of bending of thin elastic plates ⋮ Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems ⋮ The location of discontinuity intervals of sectionally analytic functions: Applications to the interface crack problem

Cites Work

• Application of the Cauchy theorem to the location of zeros of sectionally analytic functions
• Application of the generalized Siewert-Burniston method to locating zeros and poles of meromorphic functions
• Locating a straight crack in an infinite elastic medium by using complex path-independent integrals
• A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions
• Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems
• A Formal Comparison of the Delves—Lyness and Burniston—Siewert Methods for Locating the Zeros of Analytic Functions
• Stress-Intensity Factors and Complex Path-Independent Integrals
• Exact Inversion of Dispersion Relations
• A Numerical Method for Locating the Zeros of an Analytic Function
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