The Method of Integral Equation Formulation and the Unbounded Solutions of Elastic Contact Problems
khalifa, mohamed essam; M. G. EL-SHEIKH; V. GAVDZINSKI;
Abstract
it is shown that a modification of the integral equation formulation [I] can be used
to find an expression of the unbounded contact stress of problems in the theory of elasticity. The
modifications consist in reducing the problem to a Hilbert-type singular integral equation rather than
that of the Cauchy's kernel one. The reduction is carried out in analogous procedures to that followed
in [I], but here the unknown function is the contact stress, in contrast to the previous formulation
in which the unknown function was a necessarily continuous displacement. The Hilbert equation is
inverted to define the contact stress and further reduced to an infinite algebraic system, its solution
completes the definition with the aid of the physical conditions. The truncation of the algebraic
system is justified and the error is estimated.
to find an expression of the unbounded contact stress of problems in the theory of elasticity. The
modifications consist in reducing the problem to a Hilbert-type singular integral equation rather than
that of the Cauchy's kernel one. The reduction is carried out in analogous procedures to that followed
in [I], but here the unknown function is the contact stress, in contrast to the previous formulation
in which the unknown function was a necessarily continuous displacement. The Hilbert equation is
inverted to define the contact stress and further reduced to an infinite algebraic system, its solution
completes the definition with the aid of the physical conditions. The truncation of the algebraic
system is justified and the error is estimated.
Other data
Title | The Method of Integral Equation Formulation and the Unbounded Solutions of Elastic Contact Problems | Authors | khalifa, mohamed essam ; M. G. EL-SHEIKH; V. GAVDZINSKI | Keywords | contact problems;Mixed boundary value problems;Unbounded solutions | Issue Date | Jul-1998 | Publisher | ELSEVIER | Journal | Computers and Mathematics with Applications | Volume | 36 | Start page | 33 | End page | 39 | DOI | https://doi.org/10.1016/S0898-1221(98)00106-0 |
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