Interaction between line cracks in an orthotropic layer

Das, S.

doi:10.1155/s0161171202004982

Cited by 6 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The stress intensity is a measure of fracture toughness and computes the entire stress distribution [1][2][3]. The square-root singularity at the crack tip prompts rigorous stress analysis at its vicinity [4,5]. Fiber-reinforced composite (FRC) materials have gained much attention lately due to their physical properties like stiffness, lightweight, strength, and diverse engineering applications in aircraft, submarines, civil structures, and robotics.…”

Section: Introductionmentioning

confidence: 99%

Interaction among offset parallel cracks in an orthotropic plane under thermo‐mechanical loading

Tanwar

Das

et al. 2022

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

The article deals with the problem of three thermally insulated cracks embedded in a fibrous composite material subjected to thermo‐mechanical loading. Orthotropy is ensured by the unidirectional reinforcement of fiber. The considered infinite orthotropic plane is divided mathematically into three parts. The present mathematical model comprises of a central crack parallel to two symmetric collinear cracks at an offset distance to it. All the cracks under consideration are thermally insulated and aligned in the fiber direction. Using the Fourier integral transformed technique, the governing equations are reduced into a pair of singular integral equations. The Chebyshev polynomials are used to solve the integral equations of first kind with Cauchy kernel functions. Numerical values of the mode I stress intensity factors (SIFs) at the tips of the cracks are found for different lengths and distance between those. The effect of cracks' interaction on the SIFs is depicted graphically for the fiber‐reinforced composite (FRC) material constituted by carbon‐based fiber—Graphite and matrix—Epoxy.

show abstract

Section: Introductionmentioning

confidence: 99%

Interaction among offset parallel cracks in an orthotropic plane under thermo‐mechanical loading

Tanwar

Das

et al. 2022

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

show abstract

“…Several problems related to crack propagation of constant speed have been studied in fracture mechanics for orthotropic materials. It is found from the literature survey that many researchers have contributed the problem of crack/cracks in orthotropic media [1–11]. Itou [20] has studied the problem of two co‐planer Griffith cracks situated in an orthotropic elastic layer sandwiched between two isotropic half‐planes while Das et al.…”

Section: Introductionmentioning

confidence: 99%

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

2021

Self Cite

View full text Add to dashboard Cite

The article deals with the collinear Griffith cracks under the time‐harmonic waves, situated in an orthotropic strip sandwiched between two identical half‐planes. The outer cracks are considered to be situated on either sides of the central crack. The mathematical model is solved by applying the Fourier transform and then the unknown functions have been determined using Schmidt method. The approximate analytical expressions of the stress intensity factors (SIFs) have been obtained at the tips of the cracks. The values of the SIFs for the considered composite with Graphite epoxy material as the strip and E‐glass epoxy as the half‐plane are computed numerically for different crack lengths and wave numbers, and the obtained results are displayed graphically. The salient feature of the article is the pictorial presentations of the possibilities of arrest of the central crack due to the presence of outer cracks through finding the stress magnification factor for different particular cases.

show abstract

“…solved the problem of diffraction of elastic waves by three coplanar Griffith cracks in an orthotropic medium. Das (2002) solved the problem of interaction between line cracks in an orthotropic layer. An elastostatic problem of an infinite row of parallel cracks in an orthotropic medium was analyzed by Sinharoy (2013).…”

Section: Introductionmentioning

confidence: 99%

P-wave interaction with a pair of rigid strips embedded in an orthotropic strip

Basu

Mandal

2016

jtam

View full text Add to dashboard Cite

The present paper is concerned with the problem of scattering of the P-wave by two co--planer finite rigid strips placed symmetrically in an infinitely long orthotropic strip. Using the Hilbert transform technique, the mixed boundary value problem has been reduced to the solution of dual integral equations which has finally been reduced to the solution of a Fredholm integral equation of the second kind. Solving this integral equation numerically, stress intensity factors have been calculated at the inner and outer edges of the rigid strips, and the vertical displacement outside the strips has been calculated and plotted graphically to show the effect of material orthotropy.

show abstract

Interaction between line cracks in an orthotropic layer

Cited by 6 publications

References 19 publications

Interaction among offset parallel cracks in an orthotropic plane under thermo‐mechanical loading

Interaction among offset parallel cracks in an orthotropic plane under thermo‐mechanical loading

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

P-wave interaction with a pair of rigid strips embedded in an orthotropic strip

Contact Info

Product

Resources

About