State Metallurgical Academy of Ukraine

Dnipropetrovsk, Ukraine

State Metallurgical Academy of Ukraine

Dnipropetrovsk, Ukraine
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Akhundov V.M.,State Metallurgical Academy of Ukraine
Mechanics of Composite Materials | Year: 2010

On the basis of a mathematical model of large deformations of homogeneous and fiber-reinforced bodies of revolution, the deformation of all-rubber and rubber-cord clutches made by using the tire technology is investigated. The results of a theoretical and numerical analysis of torsion of the clutches are compared with experimental data. © 2010 Springer Science+Business Media, Inc.


Akhundov V.M.,State Metallurgical Academy of Ukraine
Mechanics of Composite Materials | Year: 2010

Equations of a mathematical model for bodies of revolution made of elastic homogeneous and fiber-reinforced materials and subjected to large deformations are presented. The volume content of reinforcing fibers is assumed low, and their interaction through the matrix is neglected. The axial lines of the fibers can lie both on surfaces of revolution whose symmetry axes coincide with the axis of the body of revolution and along trajectories directed outside the surfaces. The equations are obtained for the macroscopically axisymmetric problem statement where the parameters of macroscopic deformation of the body vary in its meridional planes, but are constant in the circumferential directions orthogonal to them. The equations also describe the torsion of bodies of revolution and their deformation behavior under the action of inertia forces in rotation around the symmetry axis. The results of a numerical investigation into the large deformations of toroidal bodies made of elastic homogeneous and unidirectionally reinforced materials under torsion caused by a relative rotation of their butt-end sections around the symmetry axis are presented. © 2010 Springer Science+Business Media, Inc.


A technique of numerical solution of boundary-value problems is expounded for elastic homogeneous fiber-reinforced bodies of revolution, which is based on equations obtained previously and employs the methods of finite differences and continuation of solutions with respect to loading parameters of the bodies. Results for the torsion of highly elastic toroidal clutches with a semiannular profile are presented. The paper continues the investigation on large deformations of all-rubber and rubber-cord clutches initiated in its first part. The deformations are caused by centrifugal forces in their rotation around the symmetry axis and by the rotary movement in a combination with torsion caused by a relative rotation of their butt-end sections around the axis. The effect of imposition sequence of butt-end torsion and rotary movement on the deformational behavior of the clutches is evaluated. © 2010 Springer Science+Business Media, Inc.


Akhundov V.M.,State Metallurgical Academy of Ukraine
Mechanics of Composite Materials | Year: 2010

The equations of axisymmetric deformation of a circular cylinder made of homogeneous and weakly fiber-reinforced materials in a macroscopically two-dimensional problem statement are presented. The fibers are placed in the axial, circumferential, and radial directions and along spirals in the cylinder wall. They also can lie along opposite spirals in adjacent cylindrical layers, forming an angle-ply reinforcement scheme. At a low content offibers, it is assumed that they are in the uniaxial stress state, determined by the axial tension or constraint compression in the deformed cylinder. Based on this mathematical model, the deformation of homogeneous and fiber-reinforced elastic cylinders ofvarious length, with free outer surfaces, in butt-end torsion is investigated. The effect of length of the cylinders on their deformation character in torsion is evaluated. The torsion of the cylinders under the conditions of sliding fit along the inner surface and under the action ofpressure on the surface, when the initial and deformed configurations are practically congruent, is considered. © 2010 Springer Science+Business Media, Inc.


Akhundov V.M.,State Metallurgical Academy of Ukraine
Mechanics of Composite Materials | Year: 2012

A method for calculating thin shells with one or more unidirectional layers is developed on the basis of 3D deformation models of fiber-reinforced materials at small and large deformations. Contrary to the shell model, the 3D model of shells, which is based on 3D governing equations, allows one to solve the problems on contact interaction of shells between themselves or with other bodies. The use of an applied theory of fibrous materials as a 3D deformation model is considered. The validity of the method is confirmed by using the applied theory in solving the problem on blowing of a rubber-cord diaphragm of toroidal form used in the tire production technology © 2012 Springer Science+Business Media, Inc..

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