Skip to main content
Erschienen in: Meccanica 15/2019

28.10.2019

Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave

verfasst von: Guanxixi Jiang, Zailin Yang, Cheng Sun, Xinzhu Li, Yong Yang

Erschienen in: Meccanica | Ausgabe 15/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Dynamic stress concentration factor around a cylindrical cavity which is in vertically inhomogeneous half space is investigated by applying complex function method and multi-polar coordinates system. The mass density of the half space is inhomogeneous while the shear modulus is a constant. Utilizing conformal mapping method, the governing equation with variable coefficients is transformed to be a normalized Helmholtz equation. Then, incident wave, reflected wave and scattering wave in the half space are obtained. With the help of the boundary condition at the cylindrical cavity, the undetermined coefficients in scattering wave are solved. Then, dynamic stress concentration factor with different influencing parameters around the cavity is calculated and discussed.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Pao Y, Mao C (1973) Diffraction of elastic waves and dynamic stress concentration. Crane and Russak, New YorkCrossRef Pao Y, Mao C (1973) Diffraction of elastic waves and dynamic stress concentration. Crane and Russak, New YorkCrossRef
2.
Zurück zum Zitat Trifunac M (1973) Scattering of plane SH waves by a semi-cylindrical canyon. Earthq Eng Struct Dyn 1:267–281CrossRef Trifunac M (1973) Scattering of plane SH waves by a semi-cylindrical canyon. Earthq Eng Struct Dyn 1:267–281CrossRef
3.
Zurück zum Zitat Wong H, Trifunac M (1974) Scattering of plane SH waves by a semi-elliptical canyon. Earthq Eng Struct Dyn 3:157–169CrossRef Wong H, Trifunac M (1974) Scattering of plane SH waves by a semi-elliptical canyon. Earthq Eng Struct Dyn 3:157–169CrossRef
4.
Zurück zum Zitat Liu D, Gai B, Tao G (1982) Applications of the method of complex to dynamic stress concentrations. Wave Motion 4:293–304MathSciNetCrossRef Liu D, Gai B, Tao G (1982) Applications of the method of complex to dynamic stress concentrations. Wave Motion 4:293–304MathSciNetCrossRef
5.
Zurück zum Zitat Liu D, Han F (1991) Scattering of plane SH-wave by cylindrical canyon of arbitrary shape. Soil Dyn Earthq Eng 10:249–255CrossRef Liu D, Han F (1991) Scattering of plane SH-wave by cylindrical canyon of arbitrary shape. Soil Dyn Earthq Eng 10:249–255CrossRef
6.
Zurück zum Zitat Liu G, Ji B, Chen H et al (2009) Antiplane harmonic elastodynamic stress analysis of an infinite wedge with a circular cavity. J Appl Mech 76:061008–1CrossRef Liu G, Ji B, Chen H et al (2009) Antiplane harmonic elastodynamic stress analysis of an infinite wedge with a circular cavity. J Appl Mech 76:061008–1CrossRef
7.
Zurück zum Zitat Qi H, Yang J (2012) Dynamic analysis for circular inclusions of arbitrary positions near interfacial crack impacted by SH-wave in half-space. Eur J Mech A/Solids 36:18–24MathSciNetCrossRef Qi H, Yang J (2012) Dynamic analysis for circular inclusions of arbitrary positions near interfacial crack impacted by SH-wave in half-space. Eur J Mech A/Solids 36:18–24MathSciNetCrossRef
8.
Zurück zum Zitat Xu H, Yang Z, Wang S (2016) Dynamics response of complex defects near bimaterials interface by incident out-plane waves. Acta Mech 227:1251–1264MathSciNetCrossRef Xu H, Yang Z, Wang S (2016) Dynamics response of complex defects near bimaterials interface by incident out-plane waves. Acta Mech 227:1251–1264MathSciNetCrossRef
9.
Zurück zum Zitat Liu Q, Zhang C, Todorovska M (2016) Scattering of SH waves by a shallow rectangular cavity in an elastic half space. Soil Dyn Earthq Eng 90:147–157CrossRef Liu Q, Zhang C, Todorovska M (2016) Scattering of SH waves by a shallow rectangular cavity in an elastic half space. Soil Dyn Earthq Eng 90:147–157CrossRef
10.
Zurück zum Zitat Kara H (2016) A note on response of tunnels to incident SH-waves near hillsides. Soil Dyn Earthq Eng 90:138–146CrossRef Kara H (2016) A note on response of tunnels to incident SH-waves near hillsides. Soil Dyn Earthq Eng 90:138–146CrossRef
11.
Zurück zum Zitat Le T, Lee V, Trifunac M (2017) SH waves in a moon-shaped valley. Soil Dyn Earthq Eng 101:162–175CrossRef Le T, Lee V, Trifunac M (2017) SH waves in a moon-shaped valley. Soil Dyn Earthq Eng 101:162–175CrossRef
12.
Zurück zum Zitat Dravinski M, Sheikhhassani R (2013) Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape. Wave Motion 50:836–851MathSciNetCrossRef Dravinski M, Sheikhhassani R (2013) Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape. Wave Motion 50:836–851MathSciNetCrossRef
13.
Zurück zum Zitat Sheikhhassani R, Dravinski M (2014) Scattering of a plane harmonic SH wave by multiple layered inclusions. Wave Motion 51:517–532MathSciNetCrossRef Sheikhhassani R, Dravinski M (2014) Scattering of a plane harmonic SH wave by multiple layered inclusions. Wave Motion 51:517–532MathSciNetCrossRef
14.
Zurück zum Zitat Sheikhhassani R, Dravinski M (2016) Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves. Wave Motion 62:20–40MathSciNetCrossRef Sheikhhassani R, Dravinski M (2016) Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves. Wave Motion 62:20–40MathSciNetCrossRef
15.
Zurück zum Zitat Liu Z, Ju X, Wu C et al (2017) Scattering of plane \(\text{ P }_{1}\) waves and dynamic stress concentration by a lined tunnel in a fluid-saturated poroelastic half-space. Tunn Undergr Space Technol 67:71–84CrossRef Liu Z, Ju X, Wu C et al (2017) Scattering of plane \(\text{ P }_{1}\) waves and dynamic stress concentration by a lined tunnel in a fluid-saturated poroelastic half-space. Tunn Undergr Space Technol 67:71–84CrossRef
16.
Zurück zum Zitat Panji M, Ansari B (2017) Transient SH-wave scattering by the lined tunnels embedded in an elastic half-plane. Eng Anal Bound Elem 84:220–230MathSciNetCrossRef Panji M, Ansari B (2017) Transient SH-wave scattering by the lined tunnels embedded in an elastic half-plane. Eng Anal Bound Elem 84:220–230MathSciNetCrossRef
17.
Zurück zum Zitat Shyu W, Teng T (2014) Hybrid method combines transfinite interpolation with series expansion to simulate the anti-plane response of a surface irregularity. J Mech 30:349–360CrossRef Shyu W, Teng T (2014) Hybrid method combines transfinite interpolation with series expansion to simulate the anti-plane response of a surface irregularity. J Mech 30:349–360CrossRef
18.
Zurück zum Zitat Shyu W, Teng T, Chou C (2017) Anti-plane response caused by interactions between a dike and the surrounding soil. Soil Dyn Earthq Eng 92:408–418CrossRef Shyu W, Teng T, Chou C (2017) Anti-plane response caused by interactions between a dike and the surrounding soil. Soil Dyn Earthq Eng 92:408–418CrossRef
19.
Zurück zum Zitat Daros C (2013) Green’s function for SH-waves in inhomogeneous anisotropic elastic solid with power-function velocity variation. Wave Motion 50:101–110MathSciNetCrossRef Daros C (2013) Green’s function for SH-waves in inhomogeneous anisotropic elastic solid with power-function velocity variation. Wave Motion 50:101–110MathSciNetCrossRef
20.
Zurück zum Zitat Kowalczyk S, Matysiak S, Perkowski D (2016) On some problems of SH wave propagation in inhomogeneous elastic bodies. J Theor Appl Mech 54:1125–1135CrossRef Kowalczyk S, Matysiak S, Perkowski D (2016) On some problems of SH wave propagation in inhomogeneous elastic bodies. J Theor Appl Mech 54:1125–1135CrossRef
21.
Zurück zum Zitat Zhang N, Gao Y, Pak R (2017) Soil and topographic effects on ground motion of a surficially inhomogeneous semi-cylindrical canyon under oblique incident SH waves. Soil Dyn Earthq Eng 95:17–28CrossRef Zhang N, Gao Y, Pak R (2017) Soil and topographic effects on ground motion of a surficially inhomogeneous semi-cylindrical canyon under oblique incident SH waves. Soil Dyn Earthq Eng 95:17–28CrossRef
22.
Zurück zum Zitat Kara H, Aydogdu M (2018) Dynamic response of a functionally graded tube embedded in an elastic medium due to SH-Waves. Compos Struct 206:22–32CrossRef Kara H, Aydogdu M (2018) Dynamic response of a functionally graded tube embedded in an elastic medium due to SH-Waves. Compos Struct 206:22–32CrossRef
23.
Zurück zum Zitat Martin P (2009) Scattering by a cavity in an exponentially graded half-space. J Appl Mech 76:031009–1CrossRef Martin P (2009) Scattering by a cavity in an exponentially graded half-space. J Appl Mech 76:031009–1CrossRef
24.
Zurück zum Zitat Liu Q, Zhao M, Zhang C (2014) Antiplane scattering of SH waves by a circular cavity in an exponentially graded half space. Int J Eng Sci 78:61–72MathSciNetCrossRef Liu Q, Zhao M, Zhang C (2014) Antiplane scattering of SH waves by a circular cavity in an exponentially graded half space. Int J Eng Sci 78:61–72MathSciNetCrossRef
25.
Zurück zum Zitat Ghafarollahi A, Shodja H (2018) Scattering of SH-waves by an elliptic cavity/crack beneath the interface between functionally graded and homogeneous half-spaces via multipole expansion method. J Sound Vib 435:372–389ADSCrossRef Ghafarollahi A, Shodja H (2018) Scattering of SH-waves by an elliptic cavity/crack beneath the interface between functionally graded and homogeneous half-spaces via multipole expansion method. J Sound Vib 435:372–389ADSCrossRef
26.
Zurück zum Zitat Hei B, Yang Z, Sun B et al (2015) Modelling and analysis of the dynamic behavior of inhomogeneous continuum containing a circular inclusion. Appl Math Model 39:7364–7374MathSciNetCrossRef Hei B, Yang Z, Sun B et al (2015) Modelling and analysis of the dynamic behavior of inhomogeneous continuum containing a circular inclusion. Appl Math Model 39:7364–7374MathSciNetCrossRef
27.
Zurück zum Zitat Hei B, Yang Z, Wang Y et al (2016) Dynamic analysis of elastic waves by an arbitrary cavity in an inhomogeneous medium with density variation. Math Mech Solids 21:931–940MathSciNetCrossRef Hei B, Yang Z, Wang Y et al (2016) Dynamic analysis of elastic waves by an arbitrary cavity in an inhomogeneous medium with density variation. Math Mech Solids 21:931–940MathSciNetCrossRef
Metadaten
Titel
Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave
verfasst von
Guanxixi Jiang
Zailin Yang
Cheng Sun
Xinzhu Li
Yong Yang
Publikationsdatum
28.10.2019
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 15/2019
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-019-01076-2

Weitere Artikel der Ausgabe 15/2019

Meccanica 15/2019 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.