Stability of shells of revolution made of a particulate composite with nonlinear elastic inclusions and damageable matrix

The bifurcation instability problem for shells of revolution made of particulate composites with nonlinear elastic inclusions and damageable matrix is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 11, pp. 55–65, November 2007.     

Stability of convex shells of revolution made of particulate composites with physically nonlinear matrix and damageable inclusions

The problem of bifurcation instability of shells of revolution made of particulate composites with physically nonlinear matrix and damageable inclusions is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 70–80, June 2008.     

Stability of cylindrical shells made of a particulate composite with nonlinear elastic inclusions and damageable matrix

The bifurcation instability problem for cylindrical shells made of particulate composites with nonlinear elastic inclusions and damageable matrix is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 10, pp. 68–79, October 2007.     

Stability of cylindrical shells made of a damageable physically nonlinear material

The bifurcation-instability problem for cylindrical shells made of physically nonlinear materials progressively damaged with increasing load is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 10, pp. 56–66, October 2006.     

Stability of plates made of a damageable physically nonlinear material

The bifurcation instability problem for rectangular plates made of physically nonlinear materials progressively damaged with increasing load is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 79–88, September 2006.     

Stability of cylindrical shells made of a laminate material with damageable components

The problem of bifurcation instability of cylindrical shells made of transversely isotropic laminate materials with progressively damaged reinforcement is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 81–89, June 2006.     

Stability of shells of revolution made of granular composite with damageable components

Shells of revolution made of a granular composite material with microdamageable components are studied. Microdamages are simulated by spheroidal pores filled with a damaged material. The concentration of pores increases with increasing load. The problem is formulated using the concept of continuous load and the Kirchhoff-Love hypotheses. Solutions are presented for shells of positive and zero Gaussian curvature.Translated from Prikladnaya Mekhanika, Vol. 40, No. 9, pp. 105–115, September 2004.     

Stability of laminated convex shells of revolution with microdamages in laminate components

The problem of bifurcation instability of shells of revolution made of a laminate material with progressively damaged components under loading is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 98–106, July 2006.     

Stability of plates made of a particulate composite with nonlinear elastic matrix and damaged inclusions

The bifurcation instability problem for rectangular plates made of particulate composites with nonlinear elastic matrix and damaged inclusions is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 7, pp. 79–89, July 2007.     

Stability of cylindrical shells made of a particulate composite with nonlinear elastic matrix and damaged inclusions

The bifurcation instability problem for cylindrical shells made of particulate composites with nonlinear elastic matrix and damaged inclusions is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 8, pp. 80–91, August 2007.     

Axisymmetric thermoviscoelastoplastic state of thin laminated shells made of a damageable material

A technique for the determination of the axisymmetric thermoviscoelastoplastic state of laminated thin shells made of a damageable material is developed. The technique is based on the kinematic equations of the theory of thin shells that account for transverse shear strains. The thermoviscoplastic equations, which describe the deformation of a shell element along paths of small curvature, are used as the constitutive equations. The equivalent stress that appears in the kinetic equations of damage and creep is determined from a failure criterion that accounts for the stress mode. The thermoviscoplastic deformation of a two-layer shell that models an element of a rocket engine nozzle is considered as an example __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 4, pp. 87–100, April 2008.     

Stability of rectangular plates made of a laminate material with damageable components

The problem of bifurcation instability of rectangular plates made of laminate materials with progressively damaged reinforcement is formulated and solved __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 64–72, May 2006.     

Studying the harmonic vibrations of a cylindrical shell made of a nonlinear elastic piezoelectric material

The paper examines the harmonic vibrations of an infinitely long thin cylindrical shell made of a nonlinear elastic piezoceramic material and subjected to periodic electric loading. Amplitude-frequency characteristics are plotted for different amplitudes of the load. Points of these characteristics are analyzed for stability. The transients occurring while harmonic vibrations attain the steady state are studied __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 4, pp. 101–106, April 2008.     

Stability of plates and shells made of homogeneous and composite materials subject to short-term microdamage

The paper analyzes results on the bifurcation buckling of plates and shells of revolution made of homogeneous and composite materials subject to progressive damage __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 3–35, March 2008.     

Stability of conical shells made of composites with one plane of elastic symmetry

The paper proposes a technique for stability analysis of anisotropic laminated thin shells of revolution made of a composite with one plane of symmetry. The technique is used for numerical analysis of truncated cones made of binder-impregnated filaments continuously wound along geodesic lines. It is shown that the effect of low symmetry on the critical loads depends not only on the number of laminas, but also on the cone angle __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 6, pp. 93–101, June 2007.     

Stability of Shells of Revolution Made of Fibrous Composite with Damageable Matrix

The bifurcation-stability problem for shells of revolution made of fibrous composite with damageable matrix is formulated and solved. Increase in the damage of the matrix under loading is taken into account __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 75–83, October 2005.     

Stability of composite shells of revolution

An approach to solving the buckling problem for shells made of a composite material with one plane of elastic symmetry is presented. The approach employs complex Fourier series. The prebuckling stress-strain state is assumed to be geometrically nonlinear. The stability of a cylindrical shell under axial compression and uniform side pressure is analyzed using the Runge-Kutta method with discrete orthogonalization. The numerical results are compared with analytical solutions __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 109–124, March 2008.     

Axisymmetric nonlinear deformation of elastic systems made of anisotropic shells of revolution

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 1, pp. 44–48, January, 1990.     

Microdamage of a nonlinear elastic material in combined stress state

The structural theory of short-term damage is used to study the coupled processes of deformation and microdamage of a physically nonlinear material in a combined stress state. The basis for the analysis is the stochastic elasticity equations for a physically nonlinear porous medium. Damage in a microvolume of the material is assumed to occur in accordance with the Huber-Mises failure criterion. The balance equation for damaged microvolumes is derived and added to the macrostress-macrostrain relations to produce a closed-form system of equations. It describes the coupled processes of nonlinear deformation and microdamage of the porous material. Algorithms are developed for calculating the dependence of microdamage on macrostresses and macrostrains and plotting stress-strain curves for a homogeneous material under either biaxial normal loading or combined normal and tangential loading. The plots are analyzed depending on the type of stress state __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 30–39, November 2006.     

A new kind of mixed elements for shells of revolution subjected to arbitrary loads

In this paper a generalized variational principle with two-field variables is derived from the Reissner principle of elasticity in the curvilinear coordinates of a revolution shell, based on which, a new kind of mixed elements with independent transverse rotations is formulated for revolution shells subjected to harmonic external loads. The resultant-stress interpolations are carefully selected so that the shear part of the element stiffness contains the Kirchhoff hypothesis for thin shells and element stiffness matrices have correct ranks. The elements are free from shear locking and spurious kinematic modes. Numerical examples show that the new elements have good generality and high accuracy for thin and moderately-thick revolution shells.