A Symmetric Three-Layer Plate with Two Coaxial Cracks under Pure Bending
| Autor: | Oksana Bilash, Viktor Opanasovych, Mykhaylo Delyavskyy, Roman Seliverstov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Materials science
crack 02 engineering and technology Bending 01 natural sciences lcsh:Technology Complex analysis lcsh:Chemistry Crack closure 0203 mechanical engineering complex potential General Materials Science 0101 mathematics moment intensity factor Instrumentation lcsh:QH301-705.5 Fluid Flow and Transfer Processes layered plate lcsh:T Process Chemistry and Technology Mathematical analysis General Engineering bending lcsh:QC1-999 Computer Science Applications 010101 applied mathematics Algebraic equation 020303 mechanical engineering & transports lcsh:Biology (General) lcsh:QD1-999 lcsh:TA1-2040 Pure bending Bending moment Nyström method Coaxial lcsh:Engineering (General). Civil engineering (General) lcsh:Physics |
| Zdroj: | Applied Sciences Volume 11 Issue 6 Applied Sciences, Vol 11, Iss 2859, p 2859 (2021) |
| ISSN: | 2076-3417 |
| DOI: | 10.3390/app11062859 |
| Popis: | The purpose of this research was to investigate the effect of mechanical features and geometrical parameters on the stress–strain state of a cracked layered plate under pure bending (bending moments are uniformly distributed at infinity). The sixth-order bending problem of an infinite, symmetric, three-layer plate with two coaxial through cracks is considered under the assumption of no crack closure. By using complex potentials and methods of the theory of functions of a complex variable, the solution to the problem was obtained in the form of a singular integral equation. It is reduced to the system of linear algebraic equations and solved in a numerical manner by the mechanical quadrature method. The distributions of stresses and bending moments near the crack tips are shown. Numerical results are presented as graphical dependences of the reduced moment intensity factor on various problem parameters. In this particular case, the optimum ratio of layer thicknesses is determined. |
| Databáze: | OpenAIRE |
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