Statistical joint evaluation of fracture results from distinct experimental programs: An application to annealed glass

Muñiz‐Calvente, Miguel; Ramos, Alberto; Pelayo, F.; Lamela, María Jesús; Fernández‐Canteli, Alfonso

doi:10.1016/j.tafmec.2016.08.009

Cited by 8 publications

(7 citation statements)

References 7 publications

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“…Finally, Figure 3 (up) shows the maximum values of the GP (GP max ) reached for each test from the different experimental programs. 4,8 Although GP max has been selected as the representative value to illustrate the scatter associated to each experimental program, the PFDCFs shown in Figure 3 (down) are obtained by the GLM, so that the whole distribution of the GP over all specimens is considered. As can be seen, the relation between the GP and the probability of failure obtained from the three different experimental programs is in close agreement.…”

Section: Materials Characterizationmentioning

confidence: 99%

“…Nowadays, there are some standards to regulate the characterization of glass materials . Nevertheless, there is a certain lack in the regulation of glass design for structural proposes.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the strength of glass components presents a large dispersion, which is usually motivated by random introduction of surface defects during the manufacturing process, so for mechanical characterization is essential to use probabilistic methods, that includes the scale effect . In previous authors' works, the so‐called generalized local model (GLM) was introduced to derive the primary failure cumulative distribution function (PFCDF) for a generalized parameter (GP) based on experimental data even from specimens with different geometry and size. Accordingly, the PFCDF of the GP may be interpreted as a material property allowing failure of specimens or components to be predicted independently of the specimen shape and size and test type selected for the experimental program.…”

Section: Introductionmentioning

confidence: 99%

“…Nowadays, there are some standards to regulate the characterization of glass materials. 2,4 Nevertheless, there is a certain lack in the regulation of glass design for structural proposes. Both the American code 5 and the Australian code 6 refer to glass as a panel not intended mainly for structural use, while in Europe, there is no consensus for an Eurocode for glass.…”

Section: Introductionmentioning

confidence: 99%

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Probabilistic failure analysis for real glass components under general loading conditions

Muñiz‐Calvente

Ramos

Pelayo

et al. 2019

Fatigue Fract Eng Mat Struct

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In this paper, the generalized local model (GLM) is applied to derive the primary failure cumulative distribution function (PFCDF) of annealed glass in order to achieve the failure prediction of structural glass. The uniqueness of the glass characterization is demonstrated irrespective of the test, specimen size, and geometry used. Consequently, the strength of glass is unequivocally derived in a probabilistic way as a material property, so that the definition of normalized testing specimens in international standards might be put under question. Furthermore, the application of the GLM to the results assessment allows to ensure a correct transferability of the laboratory data from simple specimens to the practical design of real glass components and vice versa. The feasibility of the GLM to characterize the strength of annealed glass from different test types is illustrated by means of an extensive experimental program.

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Section: Materials Characterizationmentioning

confidence: 99%

“…Nowadays, there are some standards to regulate the characterization of glass materials . Nevertheless, there is a certain lack in the regulation of glass design for structural proposes.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Probabilistic failure analysis for real glass components under general loading conditions

Muñiz‐Calvente

Ramos

Pelayo

et al. 2019

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Accordingly, the next step was a procedure to obtain a unique PFCDF from several PFCDFs as derived from all the experimental subprograms. To do so, all results were referred to the same reference size [17,18], and finally a unique PFCDF with narrower confidence intervals than the previous ones was obtained (See Figure 9 and Table 2). From the point of view of reliability, two possible alternatives in the planification of an experimental program could be recommended as suitable.…”

Section: Joint Evaluation Of All Notch Typesmentioning

confidence: 99%

A Probabilistic Approach to Assessing and Predicting the Failure of Notched Components

et al. 2019

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This work presents a probabilistic model to evaluate the strength results obtained from an experimental characterisation program on notched components. The generalised local method (GLM) is applied to the derivation of the primary failure cumulative distribution function (PFCDF) as a material property (i.e., independent of the test type, load conditions and specimen geometry selected for the experimental campaign), which guarantees transferability in component design. To illustrate the applicability of the GLM methodology, an experimental program is performed using specimens of EPOLAM 2025 epoxy resin. Three different samples, each with a specific notch geometry, are tested. As a first scenario, a single assessment of each sample is obtained and the PFCDFs are used to perform cross predictions of failure. Some discrepancies are noticeable among the experimental results and cross-failure predictions, although they are within the expected margins. A possible reason for the disagreement can be assigned to the inherent statistical variability of the results and the limited number of tests per each sample. As a second scenario, a joint assessment of the three samples is performed, from which a unique PFCDF is provided, according to the GLM. In the latter case, a more reliable assessment of the experimental results from the geometry conditions is achieved, the suitability of the selected driving force is verified, and the transferability of the present material characterisation is confirmed.Materials 2019, 12, 4053 2 of 12 occur when the stress reaches the inherent strength (usually higher than the ultimate tensile strength of the material) at a distance of L/2 from the defect tip. In turn, the line method establishes that a fracture occurs when the average stress along a distance equal to 2L overcomes the inherent strength; the concept is similarly extended to the surface and volume methods.More recently, other models have emphasised the influence of external effects (e.g., temperature) on the fracture characterisation of notched-type elements, such as the notch master curve method [6] derived by applying the former master curve method to the failure analysis in the ductile-to-brittle transition in metals [7,8]. Finally, other approaches, based on the original TCD, have been presented during the few last years with the aim of including different effects, such as plasticity or constraints. Nevertheless, the vast majority of the above models only represent deterministic approaches.The significant and non-negligible scatter associated with fracture results has incited the development of probabilistic models. Some probabilistic models, similarly to certain deterministic models, have been set up to take into account external effects, such as temperature, as well as the notch influence as a combined effect acting on the apparent fracture toughness of metallic materials [9,10]. However, such models cannot guarantee the suitability of the selected parameter (driving force), to which the failure criterion is referred. Furtherm...

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A numerical method for analysis of fracture statistics of glass and simulations of a double ring bending test

Kinsella

Persson

2018

Glass Struct Eng

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The results from a new numerical method for simulating the strength and fracture locations of small glass specimens subjected to double ring bending are compared with experimental data. The method implements the weakest-link principle while assuming the existence of Griffith flaws. A Weibull distribution for the strength is simulated based on a single population of Pareto distributed crack sizes. The effect of using different fracture criteria is investigated. An alternative distribution is simulated based on two populations of flaws. This distribution models the apparent bimodality in the empirical data set. The numerical method is dependent on a representation of the surface flaws condition in glass. As new techniques become available for examining the surface characteristics, this numerical method is promising as a means for modelling the strength better than current methods do.

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Statistical joint evaluation of fracture results from distinct experimental programs: An application to annealed glass

Cited by 8 publications

References 7 publications

Probabilistic failure analysis for real glass components under general loading conditions

Probabilistic failure analysis for real glass components under general loading conditions

A Probabilistic Approach to Assessing and Predicting the Failure of Notched Components

A numerical method for analysis of fracture statistics of glass and simulations of a double ring bending test

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