Propagation of Plane Elastic-Tough-Plastic Waves in the Material with Yield Delay
Journal Title: Український журнал із машинобудування і матеріалознавства - Year 2017, Vol 3, Issue 1
Abstract
The use of electromechanical model of ideal elastic-tough-plastic material with yield delay while investigating the propagation of plane one-dimensional waves is being considered. The materials being investigated possesses the property of toughness only in the plastic region and is elastic up to the plastic state. The solving of the problem is being carried out in the conditions of one-parameter loading when the permanent (steady) uniformly distributed stress is being suddenly applied to the boundary surface of non-deformed half-space. The value of applied stress exceeds the limit level of elastic state in the case of static deformation and remains unchanged for the whole region of disturbed half-space. In order to conduct the corresponding calculation the dependence between the components the tensor of normal stress and linear deformations along the load axis is being determined. The defining equations of elastic-tough-plastic medium behind the front of the wave of transition from elastic to plastic state are being derived and the simple relationship for determination of the time (duration) of yield delay is deduced. The basic solution of these equations is obtained for the stresses in elastic and plastic region of the half-space. The special representation of the basic pattern of changing of lateral (transverse) stresses and longitudinal deformations for the region of active loading of material is defined. The distribution of velocities of the half-space points in the plastic region is obtained. The difference between the characters of propagation of plane elastic-plastic wave and the wave processes in the material with yield delay is shown. It is noted that two different solutions are obtained despite of the simple type of loading. The first one detects the strange character of medium’s behaviour when the material of disturbed halfspacein the plastic region is in the state of “trembling”, which causes the pulsations of lateral (transverse) stresses and the impulses of deformations along the axis that is normal to the boundary surface of the half-space.
Authors and Affiliations
Yaroslav Andrusyk
Keywords
Related Articles
- EP ID EP248615
- DOI -
- Views 128
- Downloads 0
Propagation of Elastic-Tough-Plastic Wave in a Rod of Ideally Plastic Material which Possesses the Property of Yield Delay
The great number of theoretical and experimental investigations indicate that it is necessary to consider plastic deformation of metals as a process which proceeds in certain time interval. However, in such approaches, c...
The Influence of Chemical-Thermal Treatment on Granulometric Characteristics of Titanium Sponge Powder
The phase composition and structure of powders of titanium sponge exposed to processes of chemical and thermal processing is investigated. As a result of X-ray analysis, it is found that after hydrogenation titanium powd...
Thermal Processing of ZR-1 %NB Tube in Oxygen- and Nitrogen Containing Gaseous Mediums
Zirconium alloys have unique properties (physical, mechanical, radiation) is therefore are an essential structural material for nuclear energy. A feature of these alloys is high affinity to the interstitial elements (O,...
Propagation of Plane Elastic-Tough-Plastic Waves in the Material with Yield Delay
The use of electromechanical model of ideal elastic-tough-plastic material with yield delay while investigating the propagation of plane one-dimensional waves is being considered. The materials being investigated possess...
Mag-Welding of Repair Structures of Main Gas Pipelines
Investigations on the development of a basic technology of the shielded-gas mechanized arc welding of strengthening structural elements which are used in repair of main gas pipelines were carried out. It is shown that th...