Crack propagation in an orthotropic medium under general loading

Viola, Erasmo; Piva, A.; Radi, Enrico

doi:10.1016/0013-7944(89)90277-4

Cited by 62 publications

(17 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, in contrast with previously adopted techniques, the analysis is developed along the guidelines of Stroh formalism (Stroh 1958(Stroh , 1962Ting 1996;Gao et al 2007;Tanuma 2007), by taking into account the modifications of its standard format proposed in (Piva and Viola 1988;Viola et al 1989;Piva and Radi 1991;Gentilini et al 2004) with reference to orthotropic elastic simple materials, and in (Suo et al 1992;Gao et al 2003;Wang and Mai 2003;Boldrini and Viola 2008), with reference to piezoelectric and magnetoelettroelastic materials.…”

Section: Introductionmentioning

confidence: 99%

Stationary straight cracks in quasicrystals

Radi

Mariano

2010

Int J Fract

View full text Add to dashboard Cite

Stationary straight cracks in quasicrystals in linear elastic setting are under scrutiny. The analysis is developed by using Stroh formalism which is modified to account for a totally degenerate eigenvalue problem: in fact, the fundamental matrix of the governing equations of motion admits a repeated eigenvalue corresponding to a single eigenvector.\ud Cases of a semiinfinite rectilinear crack loaded along its margins and a crack of finite length under remote loading conditions are considered. \ud Standard and phason stresses display square-root singularities at crack tip. The latter stresses represent peculiar microstructural inner actions occurring\ud in quasicrystals and are determined by rearrangements\ud assuring quasi-periodicity of the atomic tiling modes described by a vector field, called phason field, collecting the local degrees of freedom exploited by the atoms within the material elements. \ud Energy release rate increases with the coupling parameter between displacement and phason fields

show abstract

Section: Introductionmentioning

confidence: 99%

Stationary straight cracks in quasicrystals

Radi

Mariano

2010

Int J Fract

View full text Add to dashboard Cite

show abstract

“…The crack surfaces are traction-and charge-free. Similar to the assumption made by Yoffe, [18], for pure elasticity, and used in [13][14][15][16][17] for anti-plane piezoelectricity and in [20][21][22][23][24][25][26][27][28][29][30] for orthotropic elasticity, in the present study the crack is also assumed to be propagating at a constant velocity v and without change in length along the positive x 1 -axis. The coordinate system ðx 1 ; x 2 ; x 3 Þ is stationary, while the coordinate system ðx; y; zÞ is attached to the crack.…”

Section: Full-field Solutionmentioning

confidence: 97%

“…Freund, [19], has pointed out, that the near-tip stress field of the Yoffe moving crack is the same as that of the self-similar moving crack tip, i.e., when the opposite crack tip is moving at the same speed but in the opposite direction. This is why many researchers have extended the Yoffe's model to the study the moving crack problems in purely elastic orthotropic materials [20][21][22][23][24][25][26][27][28][29][30] and for piezoelectric ones [13][14][15][16][17].…”

mentioning

confidence: 99%

On a moving Griffith crack in anisotropic piezoelectric solids

Soh

Liu²,

Lee

et al. 2002

Archive of Applied Mechanics (Ingenieur Archiv)

View full text Add to dashboard Cite

The generalized plane problem of a finite Griffith crack moving with constant velocity in an anisotropic piezoelectric material is investigated. The combined mechanical and electrical loads are applied at infinity. Based on the extended Stroh formalism, the closed-form expressions for the electroelastic fields are obtained in a concise way. Numerical results for PZT-4 piezoelectric ceramic are given graphically. The effects on the hoop stress of the velocity of the crack and the electrical to mechanical load ratios are analyzed. The propagation orientation of a moving crack is also predicted in terms of the criterion of the maximum tensile stress. When the crack speed vanishes, the results of the present paper are in good agreement with those given previously in the literature.

show abstract

“…Following the methodology proposed by Viola et al [4], a transformation is applied in order to express the formulation in terms of complex functions. Eqs.…”

Section: Basic Formulation For An Orthotropic Mediummentioning

confidence: 99%