D. V. Babich

Stability Problems for Plates with Short-Term Damageability

The problem on stability of plates with microdamages simulated by hollow randomly dispersed micropores is considered. Two approaches are proposed to investigate the stability of plates weakened by microdamages. These approaches are based on models well known from the theory of stability of elastoplastic bodies — the concepts of tangent-modulus loading and continuous loading

Stability and Natural Vibrations of Shells with Variable Geometric and Mechanical Parameters

The bifurcation stability and natural vibrations of shells of revolution with variable geometric and mechanical parameters are studied by using refined models and the variational–difference method. The qualitative and quantitative effects of the external geometry, material properties, and design features on the critical load and natural frequency are evaluated

Stability of Plates Made of a Granular Composite with Damageable Components

The stability problem is solved for a plate made of a granular composite material with microdamageable components. Microdamages are simulated by randomly dispersed pores filled with a damaged material. The problem is formulated using the concept of continuous load

Dispersed Damages in Stability Problems for Doubly Curved Shells of Revolution

An approach is expounded to the study of the bifurcation stability of doubly curved shells of revolution. The microdamage of an isotropic material is considered as empty spherical pores randomly dispersed over the volume, their concentration increasing with load. A damaged inhomogeneous material is modeled by a continuous physically nonlinear medium whose nonlinear deformation depends on how the material fails and the microstrength is distributed. A bifurcation stability problem is formulated based on the concept of continuous loading within the framework of the Kirchhoff–Love hypotheses. As an example, a solution is given to the stability problem on shells of positive Gaussian curvature under external uniform pressure

Stability of Cylindrical Shells with Microdamages

Problems on bifurcational stability of cylindrical shells are formulated and solved within the framework of the Kirchhoff–Love hypotheses with regard for damageability in the precritical stress state. The damageability of the material is due to the inhomogeneity of its microstrength and is modeled by empty quasispherical pores whose distribution over the shell volume is statistically homogeneous and isotropic. The problems are solved for shells under axial and radial compression.

Effect of Irradiation on the Stability and Natural Vibrations of Containment Shells

An approximate approach is proposed to solve the problem on the natural vibrations and stability of an NPP reactor containment. Radiation alters the mechanical properties of such shells and causes volumetric expansion of their material. The problems are solved within the framework of the Timoshenko kinematic hypotheses by reducing shells inhomogeneous throughout the thickness to homogeneous shells with reduced tension–compression, shear, and flexural rigidities

The Stress—Strain State of Thin-Walled Structures Exposed to Radiation

Mathematical models of radiation-induced physical processes in materials are analyzed. An approximate method is proposed to determine thermal and radiation strains depending on the energy spectrum and components of radiation. The stress–strain state of thin plates is studied with allowance for radiation effects