nach oben

Acta Mechanica

Erschienen in:

05.06.2020 | Original Paper

Fracture analysis for a cusp-type crack problem

verfasst von: Y. Z. Chen

Erschienen in: Acta Mechanica | Ausgabe 8/2020

Einloggen, um Zugang zu erhalten

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

search-config

KI-gestützte Suche

Aus

Abstract

This paper provides an exact solution for a cusp-type crack problem in plane elasticity. The solution of the studied problem depends on the conformal mapping technique and complex potentials. The stress intensity factors at the cusp-type crack tip can be evaluated accordingly. Some particular characters for the SIF (stress intensity factor) solution have been found. Particularly, if a compression loading is applied along the direction of the cusp-type crack, the relevant SIF will take a positive value. This phenomenon is useful in the rupture of the rock with the cusp-type crack.

Vorheriger Artikel Modeling of freezing processes of ice floes within the framework of the TPM

Nächster Artikel Mechanical properties and energy absorption of FCC lattice structures with different orientation angles

Wu, C.H.: Unconventional internal cracks part 1: symmetric variations of a straight crack. ASME J. Appl. Mech. 49, 62–68 (1982)MathSciNetCrossRef

Chen, Y.Z.: Elastic analysis of an infinite plate containing hole with cusps and applied by concentrated forces. Eng. Fract. Mech. 20, 573–582 (1964)

Chen, Y.Z.: Closed form solutions of T-stress in plane elasticity crack problems. Int. J. Solids Struct. 37, 1629–1637 (2000)CrossRef

Nik Long, N.M.A., Yaghobifar, M.: General analytical solution for stress intensity factor of a hypocycloid hole with many cusps in an infinite plate. Philos. Mag. Lett. 91, 256–263 (2011)CrossRef

Wu, X., Schiavone, P.: Finite deformation of harmonic solids with cusp cracks. IMA J. Appl. Math. 79, 790–803 (2014)MathSciNetCrossRef

Sharma, D.S., Dave, J.M.: Stress intensity factors for hypocycloidal hole with cusps in infinite anisotropic plate. Theor. Appl. Fract. Mech. 75, 44–52 (2015)CrossRef

Chauhan, M.M., Sharma, D.S., Dave, J.M.: Stress intensity factor for hypocycloidal hole in finite plate. Theor. Appl. Fract. Mech. 82, 59–68 (2016)CrossRef

Shahzad, S., Corso, F.D., Bigoni, D.: Hypocycloidal inclusions in nonuniform out-of-plane elasticity: stress singularity vs. stress reduction. J. Elast. 126, 215–229 (2017)MathSciNetCrossRef

Muskhelishvili, N.I.: Some Basic Problems of Mathematical Theory of Elasticity. Noordhoof, Groningen (1963)MATH

10.

Chen, Y.Z., Hasebe, N., Lee, K.Y.: Multiple Crack Problems in Elasticity. WIT Press, Southampton (2003)MATH

Titel: Fracture analysis for a cusp-type crack problem
verfasst von: Y. Z. Chen
Publikationsdatum: 05.06.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 8/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02711-w

Premium Partner

Marktübersichten

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

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Weitere Artikel der Ausgabe 8/2020

A constitutive framework for finite viscoelasticity and damage based on the Gram–Schmidt decomposition

Boundary control of a Timoshenko beam with prescribed performance

Indentation of a nanolayer on a substrate by a rigid cylinder in adhesive contact

Free and forced vibration analysis of a sandwich beam considering porous core and SMA hybrid composite face layers on Vlasov’s foundation

Piecewise constant response of underdamped oscillators through suppression of overshoots and undershoots in aerospace, civil, and mechanical systems

Surface effects on the elastic modulus of regular polygonal prism nanoporous materials

Premium Partner

Marktübersichten