Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems

DOI10.1016/0045-7825(90)90086-2zbMath0725.73007OpenAlexW2083574123MaRDI QIDQ2277890

Yanyan Li

Publication date: 1990

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(90)90086-2

zbMATH Keywords

Cauchy residue theoremlocation of poles of meromorphic functions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) General theory of conformal mappings (30C35)

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

Cites Work

• Experimental study of plane elastic contact problems by the pseudocaustics method
• Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics
• Locating a straight crack in an infinite elastic medium by using complex path-independent integrals
• Application of complex path-independent integrals to the solution of the problem of a straight crack in a finite plane isotropic elastic medium
• Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals
• A new concept of path-independent integrals for plane elasticity
• On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals
• Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems
• Stress-Intensity Factors and Complex Path-Independent Integrals
• [https://portal.mardi4nfdi.de/wiki/Publication:3960283 Path-independent integrals in inhomogeneous media;Wegunabh�ngige Integrate in inhomogenen Medien]
• Conservation Laws and Energy-Release Rates
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