Elastostatic analysis of edge cracked orthotropic strips

Matbuly, M. S.; Nassar, May Fouad

doi:10.1007/s00707-003-0031-8

Cited by 15 publications

(9 citation statements)

References 12 publications

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“…(5) or (6), the stress, the displacement and the stress intensity factor under the conditions of semi-infinite crack extension problem will be easily derived. …”

Section: Foundational Solution Of Dynamic Propagation For Semi-infinimentioning

confidence: 99%

“…(3)(4)(5) are the notation introduced, and they are relative variables that directly resolve displacements and stress by the course of respective computations in Eq. (6).…”

Section: The Corresponding Representations Of Self-similar Functionsmentioning

confidence: 99%

“…Due to the interaction of the stress waves under complex dynamic loading cases, the theory of dynamic fracture mechanics is still renewed and developed [1]. Mode I semi-infinite crack often occurs in engineering structure, and its statics problems were studied by means of numerical solutions [2][3][4][5]. However, a lot of engineering structures are instable under the conditions of dynamic loadings, and the static theory cannot efficaciously solve a series of dynamic queries; therefore, it is essential to research the dynamic fracture problems.…”

Section: Introductionmentioning

confidence: 99%

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Fracture dynamics problem on mode I semi-infinite crack

Cheng

et al. 2010

Arch Appl Mech

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By means of the theory of complex functions, fracture dynamics problems concerning mode I semiinfinite crack were studied. Analytical solutions of stress, displacement and dynamic stress intensity factor under the action of moving increasing loads Pt 3 /x 3 , Px 3 /t 2 , respectively, are very easily obtained using the ways of self-similar functions. The correlative closed solutions are attained based on the Riemann-Hilbert problems.

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“…(5) or (6), the stress, the displacement and the stress intensity factor under the conditions of semi-infinite crack extension problem will be easily derived. …”

Section: Foundational Solution Of Dynamic Propagation For Semi-infinimentioning

confidence: 99%

“…(3)(4)(5) are the notation introduced, and they are relative variables that directly resolve displacements and stress by the course of respective computations in Eq. (6).…”

Section: The Corresponding Representations Of Self-similar Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fracture dynamics problem on mode I semi-infinite crack

Cheng

et al. 2010

Arch Appl Mech

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“…Walker and Jamasri (1995) used a generalised experimental method to find the mixed mode stress intensity factors for an edge crack in a finite orthotropic plate. Matbuly and Nassar (2003) solved the edge crack problem in an orthotropic plate. Recently, Das (2010) has studied the problem of an edge crack in a finite orthotropic strip under normal point loading.…”

Section: Introductionmentioning

confidence: 99%

Stress Intensity Factor of an Edge Crack in Bonded Orthotropic Materials

2010

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The article presents the problem of an edge crack under normal point loading terminating perpendicular to the surface of an orthotropic strip of finite thickness which is bonded to another orthotropic half plane. Expressing the displacements and stresses in plane strain condition in terms of harmonic functions, the problem is reduced to a pair of simultaneous integral equations with Cauchy type singularities, which are finally been solved by the Hilbert transform technique. The analytical expression of stress intensity factor (SIF) at the crack tip for large thickness of the strip is calculated, which corresponds to the weight function of a crack under normal loading. The influences of elastic constants of two different orthotropic materials, distinct arbitrary locations of normal point loading on the crack surface and length of the crack on the dynamic SIF are depicted through graphs.

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“…By virtue of the interaction of the stress waves under complex dynamic loading cases, the theory of dynamic fracture mechanics is still renewed and developed [1]. Mode I semiinfinite crack often occurs in actual engineering structure; and many researchers studied its statics problems by means of numerical solutions [2][3][4][5]. However, a lot of engineering structures are usual instable under the conditions of dynamic loadings, and the static theory cannot effectively resolve a series of dynamic problems, so it is essential to investigate the dynamic fracture problems.…”

Section: Introductionmentioning

confidence: 99%

Fracture dynamics problems of mode I semi-infinite crack for anisotropic orthotropic body

Cheng

et al. 2011

Nonlinear Dyn

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By means of the theory of complex functions, fracture dynamics problems of mode I semiinfinite crack for anisotropic orthotropic body were researched. Analytical solutions of stress, displacement, and dynamic stress intensity factor under the action of moving increasing loads P x 3 /t 3 , P t 4 /x 3 , respectively, are very easily obtained utilizing the approaches of self-similar functions. In the light of relevant material's coefficients, the alterable rule of dynamic stress intensity factor was depicted very well. The correlative closed solutions are attained based on the Riemann-Hilbert problems. After those analytical solutions were applied by the superposition principle, the solutions of discretional complex problems could be attained.

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Elastostatic analysis of edge cracked orthotropic strips

Cited by 15 publications

References 12 publications

Fracture dynamics problem on mode I semi-infinite crack

Fracture dynamics problem on mode I semi-infinite crack

Stress Intensity Factor of an Edge Crack in Bonded Orthotropic Materials

Fracture dynamics problems of mode I semi-infinite crack for anisotropic orthotropic body

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