Bogdanov V. Joint analysis of problems of fracture mechanics of materials with initial stresses and fracture of solids under compression along cracks

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0509U000149

Thesis Registration Form

0509U000149.pdf

Applicant for

Bogdanov Vyacheslav Leonidovich

Specialization

01.02.04 - Механіка деформівного твердого тіла

Date of defense

17-03-2009

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The thesis concerns three-dimensional problems of fracture of initially stressed solids containing interacting cracks and fracture of solids under compression along parallel cracks. For this purpose an analytical-numerical method of analysis is developed to solutions of spatial linearised problems. In the framework of three-dimensional linearised theory of elasticity a new method of calculation of critical parameters of fracture of solids with cracks under compression along the cracks planes is proposed. The mathematical statements of some classes of three-dimensional non-axisymmetrical and axisymmetrical problems for pre-stressed solids containing interactional circular cracks are given. Problems for a half-space with a near-the-surface crack, for an infinite solid containing two parallel co-axial cracks and for a space with periodical system of co-axial cracks are solved. Some schemes of loading on the cracks' faces, namely, normal loading, radial shear and torsion are considered. The effect of initial stresses on stress intensity factors are analyzed for highly elastic materials with some types of elastic potentials and for some types of composites. The critical parameters of fracture of solids containing interacting cracks under compression along the cracks are calculated. An influence of geometrical parameters of the problems and physical-mechanical properties of materials on these critical parameters is analyzed.

Thesis supervisor

Guz Alexander Nikolaevich

Official opponents

Шевченко Володимир Павлович
Камінський Анатолій Олексійович
Кіпніс Леонід Абрамович

Files

aref.doc

Богданов В.Л., дисертація, д.ф.-м.н--ВИСНОВКИ.doc

Богданов В.Л., дисертація, д.ф.-м.н--ВСТУП.doc

Богданов В.Л., дисертація, д.ф.-м.н--ЗМІСТ.doc

Богданов В.Л., дисертація, д.ф.-м.н--ЛИТЕРАТУРА.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДІЛ 1.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДІЛ 2.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДІЛ 3.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДІЛ 5.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДІЛ 6.doc

Богданов В.Л., дисертація, д.ф.-м.н--РОЗДіЛ 4.doc

Богданов В.Л., дисертація, д.ф.-м.н--титульна сторінка.doc

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