Basic Scientific Trends

The S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine is engaged in the following basic scientific trends:

  1. Mechanics of Compositional and Nonhomogeneous Media.
  2. Mechanics of Shell Systems.
  3. Mechanics of Coupled Fields in Materials and Members Structures.
  4. Fracture Mechanics and Fatigue.
  5. Dynamic and Stability of Motion of Mechanical Systems .

Scientific trends of the departments are presented below on the basis of their belonging to the major scientific trends of the Institute.

I. Mechanics of Compositional and Nonhomogeneous Media.

  1. Three-dimensional linearized theory of stability of deformed bodies for different elastic, plastic and rheological models. Propagation of elastic waves in the bodies with initial stresses and grounds of the supersound methods of determining stresses in rigid bodies (מעהוכ ¹1).
  2. Theory and methods of prediction of physico-mechanical properties of composite materials of stochastic structure. Continual mechanics of multiphase media (elastic two-component mixtures, porous saturated media, liquid-dispersed mixtures, bubble liquids, two-temperature thermoelasticity) (מעהוכ ¹2).
  3. Micromechanics of reinforced materials, methods of research of deformation in materials with elastic and elastoplastic components. (מעהוכ ¹3).
  4. Spatial problems of the theory of elasticity, thermoelasticity and electroelasticity for isotropic and transversally-isotropic bodies with the boundaries coinciding with the coordinate surfaces of the second order. Stress concentration in the vicinity of the cavities and incorporations (מעהוכ ¹4). >>
  5. Development of the basic classes of the problems of mechanics of the deformed solid on the basis of grating approach within the frameworks of the conception of base schemes of new discrete models for numerical solution (מעהוכ ¹5). >>

II. Structure Mechanics of Shell Systems.

  1. The methods of solution of the boundary value problems of statics of laminated anisotropic shells, shells with curvilinearaxis, shallow shells (מעהוכ ¹6).
  2. Theory of ribbed shells allowing for the discrete distribution of ribs. Statics of ribbed shells of revolution (מעהוכ ¹7). >>

III. Mechanics of Coupled Fields in Materials and Members of Structures

  1. Theory of thermoviscopalsticity, describing complex nonisothermal processes of loading with regard for the geometry of the body element deformation trajectory and material damageability under creep (מעהוכ ¹8).
  2. Studies in quasi-statical and dynamic processes of deformation of elastic an viscoelastic spatial and thin-walled bodies under stationary mechanical an thermal effects in nonconnected statement (מעהוכ ¹9).
  3. Theory, mathematical models and methods of analysis of dynamic deformation of solids from compositional, piezoelectrical, electro- and magnetostrictional materials under interaction with the environment (מעהוכ ¹10). >>

IV. Fracture Mechanics and Fatigue.

  1. Isochronic creep theory of linear-strengthening, nonlinear-strengthening and ideal-plastic materials determining creep equations under statical, stepped and cyclic loadings (מעהוכ ¹11).
  2. The method of solution of statical problems of linear theory of viscoelasticity for anisotropic bodies based on the use of continued fractions (מעהוכ ¹12). >>

V. Dynamic and Stability of Motion of Mechanical Systems .

  1. Dynamic processes in the shells with regard for their geometry, linearity factors and availability of liquid (ideal and viscous) (מעהוכ ¹12).
  2. Optimization of dynamic loading of heavy technological and transport machines (מעהוכ ¹13).
  3. Dynamic stability of large-scale systems including those with structure and singular perturbations. Analysis of solution stability of the sets of nonlinear equations with a small parameter (מעהוכ ¹15).
  4. Study of nonstationary deformation of piezoceramic bodies (shells) and systems under the effect of electric loads and waves in liquid (מעהוכ ¹16).
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