Scaled cohesive zone models for fatigue crack propagation

Davey, Keith; Darvizeh, Rooholamin; Akhigbe-Midu, Osagie; Sadeghi, Hamed

doi:10.1016/j.ijsolstr.2022.111956

Cited by 9 publications

(5 citation statements)

References 45 publications

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“…and presented in Table 2. Using these factors, the applied loads for the scaled ts1 and ts2 models are calculated using peak load of physical model (ps) as [20]:…”

Section: Determination Of Stress In-tensity Factor Using Two Ex-perim...mentioning

confidence: 99%

“…The first-order rule is used to incorporate results from two scaled models at different scales in order to predict the response behaviour of a prototype. The application of finite similitude has been extended to the scaled cohesive zone models for the fatigue crack propagations in metals [20]. It was shown that first order similitude theory can accurately reproduce the full scale behaviour of large structures.…”

Section: Introductionmentioning

confidence: 99%

“…Till now, the applicability of finite similitude theory has been explored in the domain of linear elastic fracture mechanics and elastic-plastic fracture mechanics for the metals and alloys. In recent work by Davey et al [22], it was shown via case studies that this theory can also be used for concrete. However, no extensive work can be found on application of first-order finite similitude theory for fracture properties of concrete.…”

Section: Introductionmentioning

confidence: 99%

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Study Of Scaled Fracture Parameters In Concrete Using Finite Similitude Theory

Bhowmik,

Mansi

2023

Proceedings of the 11th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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The study of fracture is presently based on the dimensional analysis theory which assumes the invariance of dimensionless equations with scale. However, in reality, the dimensionless equations also change with scaled experimentation. The application of dimensional analysis to very large structures is limited due to presence of significant scaling ratios and size effect. To overcome these limitations of dimensional analysis, the fracture parameters are reanalyzed using a new scaling theory called finite similitude theory. The concept of finite similitude is based on the metaphysical notion of space scaling, where changes during the space and time deformation are assessed in view of physical and trial space. This concept can be applied to all physics and is able to quantify the scale dependencies more precisely. It has been applied to various domains such as impact mechanics, powder compaction, biomechanics, electromagnetism and proved reliable in formulating the scale dependencies accurately. Till now, this concept has been explored in the domain of linear elastic fracture mechanics and elastic-plastic fracture mechanics. Here the concepts of finite similitude have been explored for notched concrete beam specimens under three-point bending tests. The fracture parameter (stress intensity factor (K I )) is defined under quasistatic loading using first-order similitude theory. Finite element analysis has been performed to validate the applicability of proposed theory. The study highlights the appositeness of new finite similitude theory on the study of fracture parameters.

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“…and presented in Table 2. Using these factors, the applied loads for the scaled ts1 and ts2 models are calculated using peak load of physical model (ps) as [20]:…”

Section: Determination Of Stress In-tensity Factor Using Two Ex-perim...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study Of Scaled Fracture Parameters In Concrete Using Finite Similitude Theory

Bhowmik,

Mansi

2023

Proceedings of the 11th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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“…To overcome these deficiencies, the higher-order finite similitude theory is developed. [41][42][43][44][45][46][47][48][49][50][51][52] The higherorder theory, which on the contrary of the zeroth-order theory contains more than one scaled experiment, links the information of several scaled experiments at distinct scales to provide more independent degrees of freedom. The first-order finite similitude theory provides one more independent degree of freedom compared to conventional scaling methods and even the zeroth-order theory.…”

Section: Introductionmentioning

confidence: 99%

“…The first-order finite similitude theory provides one more independent degree of freedom compared to conventional scaling methods and even the zeroth-order theory. Its efficiency has been proven for different processes, which are high rate loading, 41,42 structural dynamics and earthquake engineering, [43][44][45][46] vibration, 47 fracture, 48,49 fatigue crack propagation, 50 biomechanics, 51 and electromagnetism. 52 The present paper will employ the finite similitude theory to develop a scaled framework for concrete beams.…”

Section: Introductionmentioning

confidence: 99%

An experimental investigation into finite similitude for concrete structures

Momeni,

Alijani,

Rad

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Currently, available conventional scaling methodologies are suffering from many deficiencies, which the most important ones can be listed as: (i) the inability to systematically capture the different material properties of full- and small-scale models, (ii) the inability to simultaneously fix two parameters having the same unit, and (iii) a limited number of independent degrees of freedom. To overcome these issues, a new theory called finite similitude has recently been developed. This paper aims to employ the recently introduced finite similitude theory for the scaled analysis of concrete structures. By conducting static three-point bending test on concrete beams at distinct scales, it is revealed that the response behavior of the prototype can be predicted to a good accuracy using small-scale trial models. Scaled-down models are designed based on the zeroth-order finite similitude theory and made from same and different granulations than the prototype. Also, the developed zeroth-order based scaling methodology enables us to experiment scaled-down plaster-rock structures rather than concrete structures. It is found that small-scale plaster-rock models, which can be prepared in much less time and at a lower cost, predict both local and global response behavior of the full-scale concrete structure with a high accuracy. Moreover, using the first-order finite similitude theory to take into account the elastic behavior and considering the scaled-down plaster-rock models as the second trial models, predictions of small-scale concrete models from the local response behavior of the full-scale model are significantly enhanced.

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