An interface crack with partially electrically conductive crack faces under antiplane mechanical and in-plane electric loadings

Lapusta, Yuri; Onopriienko, Oleg; Лобода, В. В.

doi:10.1016/j.mechrescom.2017.02.004

Cited by 13 publications

(7 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[34] Concerning the problem of an in-plane interface crack, this solution has been developed by Loboda. [35] Using these results, an exact solution of the problem (28) and (29), satisfying the condition at infinity (16) as well as the condition of the displacement uniqueness and the absence of an electric charge in the crack region (Knysh et al [36] ), is found and presented in Appendix A. Using this solution together with formula (10), one gets…”

Section: Model Of Electrically Conducting Interface Crack Free From Omentioning

confidence: 96%

“…Cracked magnetoelectroelastic solids under anti‐plane mechanical and in‐plane electric and magnetic fields were considered by Hu and Chen and Mousavi . Lapusta et al . analyzed a crack in a piezoelectric bimaterial with mixed conditions at the crack faces and Onopriienko et al .…”

Section: Introductionmentioning

confidence: 99%

“…Cracked magnetoelectroelastic solids under anti-plane mechanical and in-plane electric and magnetic fields were considered by Hu and Chen [14] and Mousavi. [15] Lapusta et al [16] analyzed a crack in a piezoelectric bimaterial with mixed conditions at the crack faces and Onopriienko et al [17] considered an interaction between a conducting interface crack and an electrode. More detailed review of anti-plane crack problem investigation in piezoelectric bimaterials is presented in Govorukha et al [18] Most of the investigations mentioned above are performed in the framework of electrically permeable or impermeable conditions on the crack faces.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Bond zone model for a conductive crack at the interface of piezoelectric materials under anti‐plane mechanical and in‐plane electric loadings

et al. 2019

View full text Add to dashboard Cite

An electrically conductive crack between two semi‐infinite piezoelectric spaces under the action of anti‐plane mechanical loading and in‐plane electrical field parallel to the crack faces is considered. An exact analytical solution of this problem is found and the oscillating singularity is revealed at the crack tips. A new model, which is free from oscillation, is also developed for a conductive interface crack. This model is based on the introduction of a mechanically bonded zone at the conducting crack tip characterizing by zero crack faces displacement jump. The most reasonable length of this zone is found from the condition of a smooth crack closing. The validity confirmation of the bond zone model is given by means of description of conductive crack formation process. Some recommendations concerning the use of suggested model for the study of finite and infinite sized bodies with electrically conducting interface cracks are formulated.

show abstract

Section: Model Of Electrically Conducting Interface Crack Free From Omentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Bond zone model for a conductive crack at the interface of piezoelectric materials under anti‐plane mechanical and in‐plane electric loadings

et al. 2019

View full text Add to dashboard Cite

show abstract

“…Accounting of such mixed electrical conditions at the crack faces leads to more complicated problem than for uniform ones. The crack with mixed (conductive-permeable) conditions at the crack faces was considered for a piezoelectric bimaterial by Lapusta et al, (2017). However, for a piezoelectric/ piezomagnetic bimaterials this important situation has not been studied before and it comprises the main subject of the present paper.…”

Section: Introductionmentioning

confidence: 99%

An Interface Crack with Mixed Electro-Magnetic Conditions at it Faces in a Piezoelectric / Piezomagnetic Bimaterial under Anti-Plane Mechanical and In-Plane Electric Loadings

Onopriienko

Лобода

Sheveleva

et al. 2018

Acta Mechanica Et Automatica

View full text Add to dashboard Cite

An interface crack between two semi-infinite piezoelectric/piezomagnetic spaces under out-of-plane mechanical load and in-plane electrical and magnetic fields parallel to the crack faces is considered. Some part of the crack faces is assumed to be electrically conductive and having uniform distribution of magnetic potential whilst the remaining part of the crack faces is electrically and magnetically permeable. The mechanical, electrical, and magnetic factors are presented via functions which are analytic in the whole plane except the crack region. Due to these representations the combined Dirichlet-Riemann and Hilbert boundary value problems are formulated and solved in rather simple analytical form for any relation between conductive and permeable zone lengths. Resulting from this solution the analytical expressions for stress, electric and magnetic fields as well as for the crack faces displacement jump are presented. The singularities of the obtained solution at the crack tips and at the separation point of the mention zones are investigated and the formulas for the corresponding intensity factors are presented. The influence of external electric and magnetic fields upon the mechanic, electric and magnetic quantities at the crack region are illustrated in graph and table forms.

show abstract

“…It is found that the stress, electric and magnetic fields exhibit square root singularity at the crack tips. Lapusta et al [19] analyzed an interface crack in a biomaterial piezoelectric plane under anti-plane mechanical and in-plane electric loadings.…”

mentioning

confidence: 99%

Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

2017

View full text Add to dashboard Cite

In this paper, the mode III crack problem of a non-homogenous layer bonded to an elastic half-plane is considered. It is assumed that the half plane is homogeneous and the layer is non-homogeneous in which the elastic properties are continuous throughout the layer. The stress field in a non-homogeneous layer and in an elastic half plane with Volterra type screw dislocation is obtained. Fourier transforms was applied to governing equations to derive a system of singular integral equations with simple Cauchy kernel. Then, the integral equations are solved numerically by converting to a system of linear algebraic equations and by using a collocation technique. The results given include the effect of the non-homogeneity parameters, interaction between the multiple cracks and distance of the cracks on the stress intensity factors for the purpose of gaining better understanding of the mechanical behavior of non-homogenous coating.

show abstract

An interface crack with partially electrically conductive crack faces under antiplane mechanical and in-plane electric loadings

Cited by 13 publications

References 26 publications

Bond zone model for a conductive crack at the interface of piezoelectric materials under anti‐plane mechanical and in‐plane electric loadings

Bond zone model for a conductive crack at the interface of piezoelectric materials under anti‐plane mechanical and in‐plane electric loadings

An Interface Crack with Mixed Electro-Magnetic Conditions at it Faces in a Piezoelectric / Piezomagnetic Bimaterial under Anti-Plane Mechanical and In-Plane Electric Loadings

Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

Contact Info

Product

Resources

About