Stress-strain model is an appliance for research of the strength and deformations. It can be used to solve technological problems in the production of materials. Rheological element is a part of stress-strain model. There are some disadvantages of existing rheological elements. They can’t be applied for research of the material strength and some experimental facts which are observed for many materials. The aim of the new element is to eliminate these disadvantages. The new rheological element includes the matrix and the puncheon. It differs from its analogues by configuration and characteristics of its parts. If the value of the friction coefficient between the matrix and the puncheon is not zero and greater than the tangent of the angle between the axis and the matrix on the section with the variable cross-section, the puncheon is jammed by frictional force under loading. When unloading and subsequent loading the puncheon retains a permanent deformation until the load exceeds the maximum value during the previous cycle. If the above-mentioned angle matrix is equal to zero, displacement of the puncheon does not require increasing of the load within this section. The plastic flow is observed. Deformation can be accompanied by strengthening on the section where the value of the friction coefficient is greater than the above-mentioned tangent. Fragmentation of the element is possible on this section. Thereby the new rheological element permits to relate different types of deformations of simulated solid. In other words, it allows researching the strength of material.
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