Study of stability of a circular plate undergoing phase transformations
| Jazyk: | ruština |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
ÐеÑоÑмаÑиÑ
межÑÐ°Ð·Ð½Ð°Ñ Ð³ÑаниÑа ЧиÑленнÑе меÑÐ¾Ð´Ñ Ð¿Ð»Ð¾Ñкое напÑÑженное ÑоÑÑоÑние маÑÑенÑиÑное пÑевÑаÑение ÑиÑленное моделиÑование поÑеÑÑ ÑÑÑойÑивоÑÑи кÑÑÐ³Ð»Ð°Ñ Ð¿Ð»Ð°ÑÑина |
| DOI: | 10.18720/spbpu/3/2021/vr/vr21-3997 |
| Popis: | Ð ÑабоÑе ÑаÑÑмоÑÑено поведение кÑÑглой плаÑÑинÑ, кÑÐ°Ñ ÐºÐ¾ÑоÑой ÑаÑниÑно закÑÐµÐ¿Ð»ÐµÐ½Ñ Ð¸ пеÑемеÑаÑÑÑÑ Ð² ÑадиалÑном напÑавлении. ÐаÑеÑиал плаÑÑÐ¸Ð½Ñ Ð¿ÑеÑеÑÐ¿ÐµÐ²Ð°ÐµÑ Ñазовое пÑевÑаÑение под дейÑÑвием ÑаÑÑÑгиваÑÑÐ¸Ñ Ð½Ð°Ð¿ÑÑжений, ÑопÑовождаÑÑееÑÑ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ модÑлей ÑпÑÑгоÑÑи и деÑоÑмаÑией пÑевÑаÑениÑ, в ÑезÑлÑÑаÑе Ñего внÑÑÑи плаÑÑÐ¸Ð½Ñ Ð¾Ð±ÑазÑеÑÑÑ Ð¾Ð±Ð»Ð°ÑÑÑ Ð½Ð¾Ð²Ð¾Ð¹ ÑазÑ, Ð½Ð°Ñ Ð¾Ð´ÑÑаÑÑÑ Ð² ÑоÑÑоÑнии ÑжаÑиÑ, ÑÑо Ð¼Ð¾Ð¶ÐµÑ Ð¿ÑиводиÑÑ Ðº поÑеÑе ÑÑÑойÑивоÑÑи плаÑÑинÑ. Ðайден ÑавновеÑнÑй ÑадиÑÑ Ð¼ÐµÐ¶Ñазной гÑаниÑÑ. ÐолÑÑена аналиÑиÑеÑÐºÐ°Ñ Ð¾Ñенка инÑеÑвала внеÑÐ½Ð¸Ñ Ð´ÐµÑоÑмаÑий Ð´Ð»Ñ Ð¼Ð¾Ð¼ÐµÐ½Ñа поÑеÑи ÑÑÑойÑивоÑÑи плаÑÑинÑ. ÐÑоведено ÑиÑленное моделиÑование поÑеÑи ÑÑÑойÑивоÑÑи плаÑÑинÑ, пÑеÑеÑпеваÑÑей Ñазовое пÑевÑаÑение. The paper considers the behavior of a circular plate, the edges of which are hinged and move in the radial direction. The plate material undergoes a phase transformation under the action of tensile stresses, accompanied by a change in the elastic moduli and transformation deformation, because of which a region of a new phase is formed inside the plate, which is in a state of compression, potentially leading to a loss of plate stability. The equilibrium radius of the interface is found. An analytical estimate is obtained for the interval of external deformations for the moment of loss of plate stability. A numerical simulation of the loss of stability of a plate undergoing a phase transformation is carried out. |
| Databáze: | OpenAIRE |
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