Solution of the elastic boundary value problems for a layer with tunnel stress raisers

Equilibrium of layers weakened by loaded cuts

“…This method was generally employed by Grigoluk et al (1995) and Fil'shtinskii et al (2002) for the stress analysis in layers weakened by various stress raisers.…”

“…Stress analysis of stretching and bending of layers having homogeneous boundary conditions with respect to stresses on the layer bases and weakened by through-thickness cracks has been presented by Fil'shtinskii et al (2002).…”

Bending of layers weakened by cuts

“…This method was generally employed by Grigoluk et al (1995), Kosmodamianskii and Shaldyrvan (1978), FilÕshtinskii et al (2002), and Sundara Raja Iyengar et al (1988) for the stress analysis in layers weakened by various stress raisers. Another efficient method, the eigen-vector function method, has been employed by Grinchenko and Ulitko (1970) for solving three-dimensional problems, in particular, the Kirsch problem for a layer.…”

“…The procedure for solving such periodic problems of the theory of elasticity and electro elasticity for a piecewise homogeneous cylinder in R 3 , different from LurÕyeÕs method, was proposed by FilÕshtinskii (1990). The problem of stretching and bending of a layer weakened by a through-thickness crack for homogeneous by stresses boundary conditions on the layer bases, has been considered by FilÕshtinskii et al (2002).…”

Harmonic and pulse excitations of multiply connected cylindrical bodies

“…However, this approach leads to the need to regularize divergent integrals and, as a consequence, leads to integro-differential equations of fairly complex structure. 10,11 Below we develop a new approach to investigating the harmonic oscillations of multiply connected cylindrical bodies of fairly arbitrary configurations.…”