Nikolaos I.Ioakimidis _introduce hypersingular integral equations into 3D fracture mechanics

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N.I.Ioakimidis.1982.Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity. Acta Mechanica.45. 31-47.

N.I.Ioakimidis.1983. A new singular integral equation for the classical crack problem in plane and antiplane elasticity. Int J fracture. 21. 115-122


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cynosure online

cynosure online


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Finite-part integral

J.Hadamard,1923.Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press.

H.R.Kutt, On the numerical evaluation of finite-part integrals involving an algebraic singularity (Dissertation).

F.Erdogan. Today mechanics IV.1-85

Bui.H.D, 1977. An integral equations method for solving the problem of a plane crack arbitrary shape. JMPS.25,29-39

Weaver,J,1977,three-dimensional crack analysis. IJSS.13,321-330

Kazantakis,J.C.1979. General methods for the solution of certain three dimensional inclusion and crack problems in the classical theory of elasticity and thermoelasticity.(Dissertation)


zoher82's picture

help me

hi bozing Zhu,

my name is zoher, i am an algerian student and i am working on boundary element method 

i want ot know how to compute singular kernels, so if you can send me any some lecture notes or articles it will be grate.

my email adress is  zohercm@hotmail.com