{"title":"非奇异分数阶导数的水-热-孔-粘弹性模型及无衬砌圆柱隧道瞬态热震响应","authors":"Chenlin Li, Dechen Wang, Liangcheng Zheng","doi":"10.1007/s00419-025-02900-w","DOIUrl":null,"url":null,"abstract":"<div><p>To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hydro-thermo-poro-viscoelastic model with non-singular fractional derivatives and transient heat-shock response of cylindrical unlined tunnel\",\"authors\":\"Chenlin Li, Dechen Wang, Liangcheng Zheng\",\"doi\":\"10.1007/s00419-025-02900-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"95 8\",\"pages\":\"\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-07-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-025-02900-w\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02900-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Hydro-thermo-poro-viscoelastic model with non-singular fractional derivatives and transient heat-shock response of cylindrical unlined tunnel
To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.