Interaction Between Two Internal Collinear Cracks and a Circular Inclusion Under Longitudinal Shear

Theocaris, P. S.; Demakos, C. B.

doi:10.1016/0016-0032(86)90074-8

Cited by 3 publications

(6 citation statements)

References 16 publications

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“…(2). The compliance coefficients are used in general constitutive relations (2). Except a 901 rotation of orthotropy, materials 2 and 3 are same.…”

Section: Resultsmentioning

confidence: 99%

“…Relations (2) and (3) are accompanied by the equilibrium equations @s x @x þ @s xy @y ¼ 0, @s xy @x þ @s y @y ¼ 0,…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…A series form solution was obtained to determine the evolution of the stress field in a plate with two unequal and collinear anti-plane shear cracks and circular inclusion [2]. An integrated technique based on the vibration theory to nondestructively identify multiple discrete cracks in a structure was presented [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A mixed boundary value problem in orthotropic strip containing a crack

Yusufoğlu

Turhan

2012

Journal of the Franklin Institute

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“…(2). The compliance coefficients are used in general constitutive relations (2). Except a 901 rotation of orthotropy, materials 2 and 3 are same.…”

Section: Resultsmentioning

confidence: 99%

“…Relations (2) and (3) are accompanied by the equilibrium equations @s x @x þ @s xy @y ¼ 0, @s xy @x þ @s y @y ¼ 0,…”

Section: Formulation Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

A mixed boundary value problem in orthotropic strip containing a crack

Yusufoğlu

Turhan

2012

Journal of the Franklin Institute

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“…The respective case of the static problem of the interaction between a crack and an inclusion in tension, has been treated in [9], whereas the case of a single inclusion in a plate containing either one or two cracks in antiplane shear was treated in [11,12], respectively.…”

Section: Statement Of the Dynamic Problem And Experimental Evaluationmentioning

confidence: 99%

“…As in related studies, the cases of an interaction between a bonded or a misfitting circular elastic inclusion and one or more stationary cracks under in-plane or anti-plane tractions have been treated theoretically [9][10][11][12]. Also, some investigations had encountered the problem of the dynamic propagation of a crack against a hole [13,14].…”

Section: Introductionmentioning

confidence: 99%

Crack bifurcation modes in composite plates under impact

Theocaris

Demakos

1986

Int J Fract

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Cracked plates with bonded elastic circular inclusions inside a matrix were subjected to an impact tensile loading. The influence of the inclusion on the propagation of an initial edge-crack was discussed in this paper. Two types of specimens were tested, that is with hard or soft inclusions surrounded by soft or hard matrices respectively. It has been shown that bi-, or tri-furcations of the propagating crack have persistently occurred at the region of mesophase between matrix and circular inclusions. The phenomenon of splitting of the initial crack was common in both types of specimens, For the definition of the prevailing stress field, the dynamic stress intensity factors were evaluated at different positions of the crack, as well as the crack-velocities along the main crack or its branches during their propagation. It was observed that the crack initiation in soft plates with hard inclusions was followed by the emission of Rayleigh waves, which contributed to the mode of fracture of the composite. Isochromatic patterns were also used to simulate the stress-field of the propagating cracks against the inclusions at distinct time-instants where the propagating crack was frozen at this instant and static photoelastic analysis was applied. These approximations gave satisfactory results with the cracks advancing inside the composite plates.

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Crack Propagation Modes in Particulates: A Study Approaching Reality

Theocaris

Demakos

1988

Journal of Composite Materials

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Cracked composite plates with spherical glass inclusions bonded inside a flexible matrix made of an epoxy polymer were subjected to impact. The effect of the inclusions on an edge crack propagating inside the plate was investigated, as well as the interaction of two skew-parallel edge cracks propagating in the same composite plates. It was found that generally the inclusions repel the cracks in both cases studied, and they are responsible for the bifurcations of the propagating cracks. A crack arrest phenomenon also appeared at the neighborhood of inclusions, which was followed by a subsequent emission backwards of Rayleigh waves. Moreover, the skew-parallel cracks always attracted each other, although the inclusions provoked the cracks to deviate from their initial paths. For the study of crack propagation inside these composite plates the optical method of caustics was used for the evaluation of the crack velocities, as well as the instantaneous values of the dyanmic stress-intensity factor K r (t) and K rr (t) at the crack tips. Interesting results were derived concerning the variation of the velocities and SIFs of the cracks inside particulatefilled plates.

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Interaction Between Two Internal Collinear Cracks and a Circular Inclusion Under Longitudinal Shear

Cited by 3 publications

References 16 publications

A mixed boundary value problem in orthotropic strip containing a crack

A mixed boundary value problem in orthotropic strip containing a crack

Crack bifurcation modes in composite plates under impact

Crack Propagation Modes in Particulates: A Study Approaching Reality

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