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Solid Bodies Junction Strength


Deformable Solid Bodies Junction Strength Problems with Outside Fields Influences

Tech Area / Field

  • PHY-STM/Structural Mechanics/Physics
  • FIR-MAT/Materials/Fission Reactors
  • MAT-CER/Ceramics/Materials
  • MAT-COM/Composites/Materials
  • PHY-NGD/Fluid Mechanics and Gas Dynamics/Physics
  • PHY-SSP/Solid State Physics/Physics

3 Approved without Funding

Registration date

Leading Institute
Institute of Mechanics, Armenia, Yerevan


  • Chalmers University of Technology / Department of Microelectronics, Sweden, Göteborg\nPolitecnico di Torino, Italy, Torino\nNational Instruments / National Instruments, Armenia, Armenia, Yerevan\nColumbia University / Department of Civil Engineering and Engineering Mechanics, USA, New York\nUniversity of California / Department of Mechanical Engineering, USA, CA, Berkeley\nUniversity of Alberta / Mechanical Engineering, Canada, AB, Edmonton

Project summary

The junction strength problem is one of the difficult problems of Mechanical Engineering, which needs fundamental analysis. We will consider the elastic-plastic behavior of investigated materials. The self-destruction effect has a grate importance in Junction Strength Problems of constructions. In this Project we are going to investigate mentioned problem by different statements with numerical and analytical methods.

One of the basic problems of self-destruction is the bending process. We are going to investigate the bending process when the electromagnetic or ferromagnetic effect is available in bending construction or when the bending construction is piezoelectric. We are going to define the plates or shells vibration frequencies depending on electromagnetic, ferromagnetic fields or piezoelectric parameters. Our investigations have shown that the results obtained by spatial exact method and by Kirkhoff hypothesis method have differences. Investigations in this sphere give wide opportunity to control the collapse process in different constructions. It is necessary to investigate vibrations in modern devices by exact treatments, as investigations by accepted classical hypothesis do not give us exact results. According to some our investigations free and forced vibration frequency values of plates and shells obtained by space exact treatment differ much from analogical results obtained by corrected theory of plates and shells bending. Particularly, the obtained results could be useful in computer devices design. Actually, interesting investigations are done in this field by our collaborator Dr. Gevorgian from Chalmers University (Sweden). In our investigations a grate value will have collaboration with Dr. Gevorgian in experimental sphere.

In analysis of different constructions the results obtained from solutions of mixed boundary problems of Elasticity Theory are extensively used. We are going to solve the spatial mixed boundary dynamical problems. Our goals are to obtain the stress intensity coefficient and the stress field in investigated bodies. It is well known that conditions of media collapse effects basically depend on stress intensity coefficients. Influencing on stress intensity coefficient by variation of physico-mechanical properties of component bodies of construction we can avoid from construction collapse.

On frame of this project we will investigate the junction strength problems. In theoretical part we will define the external state using the Mises plasticity conditions. The solution of this problem gives opportunity to solve more problems of Applied Mechanics. The important applied problem is the spatial layer pressure by rough plates. This problem is solved by Duis Ivlev and Ludmila Maximova by various statements. In this project we will solve those problems for isotropic or non isotropic bodies.

We will investigate the nonhomogeneous conical and cylindrical compound tubes' junction strength. We will investigate the case when tubes constructions work under the influences of the neutron irradiation or temperature fields. We will define the elastic, plastic and hardening regions. In general, our goal is to define the physico-mechanical or geometrical parameter values which assure the optimal strength state of tubes or compound tubes.

Those problems we will solve analytically, numerically and by using the finite element method. The results obtained by different methods will be compared.

Italian researchers Dr. Pugno and Dr. Carpinteri have published interesting researches for junction strength problems. So our collaboration with them will be fruitful to get the solution of mentioned problems. It’s important to note that Pugno's and Carpinteri's researches and our researches about compound tubes junction strength problems affirm the fact we have more common investigations in this sphere. We did our investigations basing on Gadolin strength criteria in case when Italian Scientists investigated by the other strength criteria. The comparison of correspondent results will be interesting.

In this project the Bio’s medias, the generation of electrical fields in Bio's medias, nonlinear and linear waves propagation there will be investigated. We are going to do the mentioned by obtaining common equations with variation methods and by obtaining exact solutions.

Our collaborators have wide experience and our collaboration may be very important for mentioned problem solving.