Abstract
Purpose: The article is devoted to the description of the method of the step-by-step change in the state of the sample shape under the condition of a plane stress state.
Methodology: This order is presented as an algorithm for transition from one velocity field to another. A continuous velocity field is proposed as the first velocity field, and a discontinuous velocity field as the second. To solve the problem, the authors propose to use a mathematical model that describes the change in the length of a rigid-plastic strip, the sample can be made from various materials that are supposed to be used for the manufacture of various structural elements. The authors propose to use various algorithms for the behavior of structural elements, depending on the material from which they are made. This will directly affect the change in the strain rate fields and will quickly allow finding the critical point of crack initiation at the early stages of deformation.
Results: The presented article allows one to determine the exact values of the strain rate field and find the required optimal value of the Almansi strain tensor (E1). It is proposed to use it to characterize the choice of the preferred deformation flow of a test specimen made of a specific structural material.
Conclusion: This plastic flow is typical for materials, when deformed, before fracture, a neck is formed (a discontinuous strain rate field), which in turn leads to material fracture.
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Grigoryeva, A.L., Khromov, A.I., Grigoryev, Y.U. (2021). Tensile Model of a Shell-Type Flat Plate at Different Displacement Velocity Fields. In: Shakirova, O.G., Bashkov, O.V., Khusainov, A.A. (eds) Current Problems and Ways of Industry Development: Equipment and Technologies. Lecture Notes in Networks and Systems, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-69421-0_16
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