A unified model for fracture mechanics

Lo, K. W.; Tamilselvan, T.; Chua, Kian Ngiap; Zhao, M.M.

doi:10.1016/0013-7944(95)00174-3

Cited by 9 publications

(2 citation statements)

References 8 publications

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“…In the literature, there are several failure criteria based on the Elastic-Linear Fracture Mechanics depending on the comparison magnitude used and subsequently on its application to brittle materials, ie, the one proposed by Erdogan and Sih 7,8 based on local stress and strain concentrations instead of energy release rates. [8][9][10] Moreover, Lo et al 11 propose a unified model considering a generalization of Irwin's approach, and Kalthoff and Podleschny 8,9,12 confirmed experimentally that the crack direction under mixed mode I to II conditions agrees with the one resulting of Erdogan and Sih approach.…”

Section: Introductionmentioning

confidence: 86%

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: Introductionmentioning

confidence: 86%

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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“…Las expresiones (10) y (11) coinciden con las propuestas por Lo et al [11] para la definici-n de un modelo unificado de Mec ‡nica de Fractura, y con las de Nuismer [12]. Estos nuevos factores de intensidad de tensi-n dependen de las dos componentes de tensi-n (σ n , τ) que actoean sobre la fisura.…”

Section: Nuevo Criterio De Roturaunclassified

Contraste experimental de un modelo probalístico para el dimensionamiento de elementos de vidrio plano con consideraciones de modo mixto de carga

Prieto¹,

Prieto²,

Sanchez³

et al. 1999

Bol. Soc. Esp. Ceram. Vidr.

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Una de las caracter'sticas del vidrio es su fragilidad y la gran dispersi-n de sus valores de resistencia mec ‡nica, motivado fundamentalmente por la presencia de defectos procedentes de su fabricaci-n o de su manipulaci-n. Como consecuencia, las investigaciones en este material se han dirigido preferentemente a la mejora de los procesos de fabricaci-n y al establecimiento de metodolog'as de dise-o basadas en modelos probabil'sticos. Tradicionalmente, en el an ‡lisis de la rotura se ha despreciado la influencia del modo II o se ha representado como un porcentaje del modo I. Recientes estudios demuestran la aparici-n de un nuevo campo de tensiones de compresi-n cuando una fisura crece bajo una carga en modo II puro situado en el codo que se forma entre la fisura original y su ramificaci-n. Este campo de compresi-n influye en el equilibrio energŽtico y, en consecuencia, en la predicci-n de la rotura. En colaboraci-n con el CIDA de Cristaler'a Espa-ola, S.A. se ha desarrollado un procedimiento para el dimensionamiento probabilista de elementos de vidrio plano para edificaci-n. En este art'culo se propone ahora una mejora del modelo, considerando la existencia de un modo mixto de carga y procediendo posteriormente a su contraste experimental. Palabras clave: Modo mixto, modelo probabil'stico, vidrio plano, mec ‡nica de fractura Experimental contrast of a probabilistic model to design plates of glass considering mixed mode loadingA characteristic of the glass is its fragility and the scatter of the experimental mechanical strength due to the presence of defects that appear in the process of manufacturing or handling. Accordingly, investigations on this material were priorly conducted to improve the processes of manufacturing and to establish design methodologies based on probabilistic approaches. The influence of mode II of loading was traditionally ignored or considered as ratio of mode II. Recent studies have shown that when a shear-loaded crack becomes unstable a new compressive stress concentration field builds up in the notch formed between the original crack and the branch crack. This stress field affects the energy balance and also the beginning of crack extension. A procedure to design glass elements was developed jointly with CIDA of Cristaler'a Espa-ola,S.A. The aim of this work is to improve the model by the consideration of a mixed mode loading and its experimental contrast. Keywords: Mixed mode loading, probabilistic approach, glass plates, fracture mechanics INTRODUCCIîNEl ‡rea de Mec ‡nica de Medios Continuos y Teor'a de Estructuras de la Universidad de Oviedo viene colaborando desde hace varios a-os con Cristaler'a Espa-ola, S.A. en diversos proyectos de investigaci-n relacionados con acristalamientos en edificaci-n. En este campo se ha elaborado un modelo probabil'stico para el dimensionamiento de elementos de vidrio plano, basado en la teor'a estad'stica de extremos y en consideraciones de la Mec ‡nica de Fractura que permite una mejor comprensi-n del dimensionamiento a rotura y la consecuente posib...

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Fracture Failure Criteria for Core Soil under I‐II Mixed Modes

Wang

2014

Hydraulic Fracturing in Earth‐Rock Fill DAMS

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A unified model for fracture mechanics

Cited by 9 publications

References 8 publications

Probabilistic failure analysis for real glass components under general loading conditions

Probabilistic failure analysis for real glass components under general loading conditions

Contraste experimental de un modelo probalístico para el dimensionamiento de elementos de vidrio plano con consideraciones de modo mixto de carga

Fracture Failure Criteria for Core Soil under I‐II Mixed Modes

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