The use of quarter point element in dynamic crack analysis

Murti, V.; Valliappan, S.

doi:10.1016/0013-7944(86)90164-5

Cited by 70 publications

(26 citation statements)

References 28 publications

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“…The peaks are not inÿnite because the damping, and they mark the resonance frequencies of the cracked sheet. In Figure 15, the transient evolution of the normalized SIFs of mode I and mode II, are plotted and compared with the results obtained by Murti et al 20 The agreement between both solutions is good enough, showing that the proposed method is a valid alternative to the existing tools for analyze mixed mode problems in ÿnite sheets. 9.…”

Section: Oblique Crack In a Rectangular Sheet Dynamic Sifsmentioning

confidence: 54%

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Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

Chirino¹,

Abascal

1998

Int. J. Numer. Meth. Engng.

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A new methodology for computing dynamic stress intensity factors in the frequency domain based on the mixed boundary element method, a combination of the equations corresponding to the integral representations of displacements and tractions, is proposed and analysed. The expressions of hypersingular fundamental solution are presented and their singular parts extracted. Also, a discontinuous Singular-Quarter-Point element is constructed. Finally, various parametric computations and applications are described in order to illustrate the simplicity and accuracy of the proposed method as applied to both static and dynamic problems. ? 1998 John Wiley & Sons, Ltd.

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Section: Oblique Crack In a Rectangular Sheet Dynamic Sifsmentioning

confidence: 54%

“…This problem was selected from the paper of Murti et al, 20 where is analysed by FEM. The sheet and crack dimensions were: h = 30 mm, w = 30 mm, Figure 13.…”

Section: Oblique Crack In a Rectangular Sheet Dynamic Sifsmentioning

confidence: 99%

Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

Chirino¹,

Abascal

1998

Int. J. Numer. Meth. Engng.

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“…Besides, the numerical modelling of such individual crack propagation requires special techniques such as quarterpoint element, remeshing, etc. [Murti and Valliappan 1986]. Therefore the application of fracture mechanics is limited and for cases in which extensive microcracking may develop, it may not be suitable, especially in dynamic analysis.…”

Section: 2mentioning

confidence: 99%

Aging degradation of mechanical structures

Valliappan

Chee

2008

JOMMS

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A numerical approach is proposed in this paper for safety assessment of mechanical structures with agerelated degradation. Deterioration occurs in mechanical structures due to various environmental attacks and operation conditions which leads to changes in structural performance and structural resistance capacity. By combining techniques such as degradation evaluation methods, damage mechanics, and the finite element method, the proposed numerical method can be used to analyse the responses and damages of mechanical structures with age-related degradation. Ageing degradation effects can be taken into account by introducing degradation factor into formulations of finite element method and damage mechanics. The numerical results for a notched bar and a plate with a central hole are provided to validate the proposed numerical method.

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“…Following the above two models, Mikulla and Trebin et al [55], Takeuchi et al [56], Rösch [57] and co-workers carried out extensive work in terms of analytic and numerical methods, this results in many solutions in dislocation and crack dynamics for different quasicrystal systems. Similar to [58,59], Fan and his co-workers obtained some analytical solutions for some 1D and 2D quasicrystals [60][61][62][63]. More recently, Tupholme studied an anti-plane shear crack moving in one-dimensional hexagonal quasicrystals based on the reference [64,65].…”

Section: Introductionmentioning

confidence: 99%

Elasto-Dynamics of Quasicrystals

Tang

2016

Crystals

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Abstract:A review on elasto-dynamics of quasicrystals (QCs) and their applications based on mathematical elasticity is given. In this study, recent studies on elasto-dynamics of QCs are reviewed, in which the focus of the problem lies in the role of phason variables and the coupling effect between phonons and phasons in the dynamic deformation process. On summarizing and describing the development of the elastic dynamics of QCs, this review mainly presents theelasto-dynamics of QCs and their application in a variety of research areas, ranging from problems with different QCs, including one-, two-, and three-dimensional QCs to various coupling problems. The plane elasticity and anti-plane elasticity of quasicrystals are included in this review.

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The use of quarter point element in dynamic crack analysis

Cited by 70 publications

References 28 publications

Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

Aging degradation of mechanical structures

Elasto-Dynamics of Quasicrystals

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