Stress-strain state of elasto-plastic linearly strengthenable plates with two perpendicular cuts under all-round stretching
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 78, Issue 2
Abstract
Effective numerical methods for solving 2D problems related to the theories of elasticity and plasticity have been worked out. The variation-difference method of building finite difference schemes is extended to disconnected domains. The application of the variation-difference method for solving problems of the theory of small elasto-plastic deformations relatively the plates with cuts, taking into account the linear strengthening of the material and unloading, has been developed. For solving the resultant systems of nonlinear and linear equation, the Newton-Kantorovich method and combined iterative method (gradient and cyclic Chebyshev’s one) were proposed to be used. The choice of iteration parameters of the methods for solving the obtained systems of linear and nonlinear algebraic equations was made. The elaborated software ensures solving the problems with different boundary conditions, medium and domain parameters. A variety of problems concerning all-round stretching of the elasto-plastic plates with two perpendicular cuts is numerically solved. The zones of evolution of plastic deformations for step enlarging of the loading are constructed. There are found the stresses under which the yield limit and the strength limit are achieve in the plates. On the base of numerical analysis the following main regularities are found: under the close mutual location of cuts in the plate, the plastic deformations first appear under the stress which is 33% less than in the plate with the same cuts under the far mutual location; however, the strength limit in the plates in the both considered cases is achieve practically under the same stress .
Authors and Affiliations
Ihor Kuz’, Olga Kuz’, Nazar Pyz
Keywords
Related Articles
- EP ID EP571446
- DOI -
- Views 71
- Downloads 0
Influence of soil salinization level on compressive strain resisting
The deterioration of the ecological state of the environment and health of the population living in developing Carpathians deposits of potassium, determines the need to study environmental hazards and risks. The problem...
Corrosion fetigue features of carbon 35 (0.35c) steel in presence of oak chips extract
It is established that corrosion protection efficiency of medium carbon steel in water inhibited by oak chip extract grows with increasing of inhibitor concentration. The degree of corrosion protection reaches 85 – 97% u...
The electrochemical method application of in-service degradation control of port cranes steels
Long-term service of marine port cranes causes a deterioration of mechanical properties of their structural materials, especially plasticity and brittle fracture resistance. Therefore it is important to control not only...
Experimental study of pseudoelastic NiTi alloy under cyclic loading
The phase transformation temperatures of pseudoelastic NiTi alloy were defined by differential scanning calorimetry. The effect of the stress range on the functional properties of the NiTi alloy under uniaxial tension in...
Procedure for connecting digital photo equipment to the testing machine control system
Digital photography as a registration procedure is widely applied for conducting experiments, including the investigation of the fracture toughness characteristics of metallic materials. During photographing of the movin...