Weight functions from finite element displacements

Pastramă, Ştefan-Dan; Castro, P.M.S.T. de

doi:10.1016/s0308-0161(98)00029-5

Cited by 11 publications

(7 citation statements)

References 17 publications

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“…The experimental results for all four models, together with similar results reported in [22][23][24] are given in Table 2. One can notice a very good agreement between the two sets of results, showing a relative error of less than 3%.…”

Section: Resultsmentioning

confidence: 56%

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Photoelastic Analysis of Cracked Thick Walled Cylinders

Pastramă

2017

ACTA Universitatis Cibiniensis

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Section: Resultsmentioning

confidence: 56%

“…Since the a/t values used in the present research are not tabulated in [23], they were obtained by polynomial interpolation. In the case of a single external crack, results are presented by Pastramă and de Castro [24].…”

Section: Resultsmentioning

confidence: 99%

Photoelastic Analysis of Cracked Thick Walled Cylinders

Pastramă

2017

ACTA Universitatis Cibiniensis

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“…For the second case, several methods were proposed, as Petroski and Achenbach [16] who propose approximate expressions of the displacements field for different geometries of plates and shells. For the third case, a solution is proposed in [17], where a crack face displacement field is obtained by curve fitting of the finite element results. It is shown that, once the dependence of the crack face displacement as a function of x and a, is known, it is possible to obtain the stress intensity factor for this case.…”

Section: Weight Function Techniquementioning

confidence: 99%

Advanced Theoretical and Numerical Models of Failure Mechanism and Fracture Propagation Around the Boreholes in Hydro‐Fracturing Process of Hot Dry Rock Reservoirs

Kohsary

Marji

Nasab

2007

Multidiscipline Modeling in Materials and Structures

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This paper describes progress on the development of theoretical models required for studying failure mechanism, crack initiation and growth around the boreholes driven by hydrofracturing processes in Hot Dry Rock (HDR) reservoirs of geothermal energy. Due to the importance of the stress intensity factor concept (K) in Fracture Mechanics, some advanced modeling techniques for accurate and fast determination of K for relevant problems are proposed. Alternative tools to deal with stress intensity factor determination are developed and assessed from the points of view of accuracy and computational cost.We concentrate on residual strength, crack initiation and crack growth as a means to model and understand experimentally observed behaviors. Several modeling methods such as compounding and weight function techniques, and boundary and finite element modeling for stress intensity factor calculation are discussed. Further to reviews of those techniques, work performed included (i) developing alternative solutions to deal with boundary-to-boundary interaction when using the compounding technique, (ii) relating the precision of K calculations with the level of precision of the crack opening displacement of a reference solution, in order to assess the precision of weight function technique, (iii) modeling relevant geometries using the finite element method (FEM), (iv) working on the implementation of direct stress intensity factor K determination in the Higher Order Displacement Discontinuity Method (HODDM), and (v) developing tools to deal with residual stress fields around the boundary of the hydraulically pressurized boreholes.

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“…These are used in the determination of fracture toughness parameters, in the analysis of stresses and / or strains in structures containing cracks and in the study of crack growth. Several authors [1][2][3][4] have been studied the fracture problems of mechanical components by means of experimentation and numerical simulation in order to asses the mechanical integrity, taking into account different crack shapes in various application. Some examples of materials that can be analyzed by the fracture mechanics are: all high-strength materials from the aerospace industry [5], high-strength and low-alloy steels, cold-deformed stainless steels and in piping systems of oil [6].…”

Section: Introductionmentioning

confidence: 99%

The Effect of the Size and Position of the Crack on the Normalized Stress Intensity Factor

Bendouba

Djebli

Baltach

et al. 2020

AJRESD

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In this work, finite element method was used to determine the normalized stress intensity factors for different configurations. For this, a 2-D numerical analysis with elastic behavior was undertaken in pure I mode. This simulation was carried out using a numerical calculation code. On the basis of the numerical results obtained from the different models treated, there is a good correlation between the nodal displacement extrapolation method (DEM) and the energy method based on the Rice integral (J) to evaluate the normalized stress intensity factors and this for different crack lengths. For each configuration, the increase in the crack size causes an amplification of normalized intensity stresses fators.

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Weight functions from finite element displacements

Cited by 11 publications

References 17 publications

Photoelastic Analysis of Cracked Thick Walled Cylinders

Photoelastic Analysis of Cracked Thick Walled Cylinders

Advanced Theoretical and Numerical Models of Failure Mechanism and Fracture Propagation Around the Boreholes in Hydro‐Fracturing Process of Hot Dry Rock Reservoirs

The Effect of the Size and Position of the Crack on the Normalized Stress Intensity Factor

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