Shevtsova N. The stress state of orthotropic dual curvature shell with cracks, with part-throuht and through cracks

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U005556

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

29-09-2015

Specialized Academic Board

Д 35.195.01

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

Essay

In dissertational work the technique of research of the stress state of isotropic shells with part-through cracks is widespread to a case of orthotropic shells with internal or surface crack. The new problems about stress state and limit equilibrium of shells and plates with through cracks for actions bending load on the crack edges are resolved. The crack edges contact is modeled on the basis of Kirhoff’s hypothesis within the framework of two-dimensional theories of plates and shallow shells. The system of singular integral equations for the stress state of shell with one (through, surface or internal) crack, with systems of two collinear (different crack lengths) or two parallel (equal length) through-cracks, with bending load on the crack edges is received. The influence of the mechanical properties of the material, curvature shell, external load, crack depth and length, the distance between cracks on the coefficients of stress intensity, stress intensity factors and moment intensity factors. For the considered problems program complexes which have allowed leading calculations in a wide range of parameters have been created. Numerical researches have shown efficiency of the used technique and the good agreement with known solution.

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