On a statistical approach to brittle rupture for multiaxial states of stress

Alpa, G.

doi:10.1016/0013-7944(84)90168-1

Cited by 28 publications

(12 citation statements)

References 31 publications

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“…We can evaluate kB from 4-point flexure data, by substituting equation (10) into equation (8). Integration by parts of the results gives°1…”

Section: Examplementioning

confidence: 99%

SCARE: A Postprocessor Program to MSC/NASTRAN for Reliability Analysis of Structural Ceramic Components

Gyekenyesi

1986

Journal of Engineering for Gas Turbines and Power

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A computer program is developed for calculating the statistical fast fracture reliability and failure probability of ceramic components. The program includes the two-parameter Weibull material fracture strength distribution model, using the principle of independent action for polyaxial stress states and Batdorf’s shear-sensitive as well as shear-insensitive crack theories, all for volume distributed flaws in macroscopically isotropic solids. Both penny-shaped cracks and Griffith cracks are included in the Batdorf shear-sensitive crack response calculations, using Griffith’s maximum tensile stress or critical coplanar strain energy release rate criteria to predict mixed mode fracture. Weibull material parameters can also be calculated from modulus of rupture bar tests, using the least-squares method with known specimen geometry and fracture data. The reliability prediction analysis uses MSC/NASTRAN stress, temperature, and volume output, obtained from the use of three-dimensional, quadratic, isoparametric, or axisymmetric finite elements. The statistical fast fracture theories employed, along with selected input and output formats and options, are summarized. A sample problem to demonstrate various features of the program is included.

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“…We can evaluate kB from 4-point flexure data, by substituting equation (10) into equation (8). Integration by parts of the results gives°1…”

Section: Examplementioning

confidence: 99%

SCARE: A Postprocessor Program to MSC/NASTRAN for Reliability Analysis of Structural Ceramic Components

Gyekenyesi

1986

Journal of Engineering for Gas Turbines and Power

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“…The setting (208) with the parabolic meridian l = 0, m = 1 yields a lower value a Z = 1.11. For further approximations see [1,14,34,202]. …”

Section: Convex π -Plane Modelmentioning

confidence: 98%

“…The distortion energy hypothesis (Huber, von Mises, Hencky), 1 Fig. 2, has different interpretations among them that the failure occurs if a critical amount of accumulated distortion energy is achieved [85,91,139,194,234]…”

Section: Huber-von Mises-hencky Hypothesismentioning

confidence: 99%

Phenomenological Yield and Failure Criteria

Altenbach

Bolchoun

Kolupaev

2013

Plasticity of Pressure-Sensitive Materials

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Models for isotropic materials based on the equivalent stress concept are discussed. At first, so-called classical models which are useful in the case of absolutely brittle or ideal ductile materials are presented. Tests for basic stress states are suggested. At second, standard models describing the intermediate range between the absolutely brittle and ideal-ductile behavior are introduced. Any criterion is expressed by various mathematical equations formulated, for example, in terms of invariants. At the same time the criteria can be visualized which simplifies the application. At third, in the main part pressure-insensitive, pressure-sensitive and combined models are separated. Fitting methods based on mathematical, physical and geometrical criteria are necessary. Finally, three examples (gray cast iron, poly(oxymethylene) (POM) and poly(vinyl chloride) (PVC) hard foam) demonstrates the application of different approaches in modeling certain limit behavior. Two appendices are necessary for a better understanding of this chapter: in Chap. 2 applied invariants are briefly introduced and a table of discussed in this chapter criteria with references is given.

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“…Pn .Q^Ocr) [10] Apareciendo en la expresión el área del ángulo sólido como área en la que a eq > a cr dividida por todo el área de la esfera de radio unidad (4TT).…”

Section: Criterios De Mecánica De Fracturaunclassified

Análisis de componentes de material frágil por medio de métodos numéricos

Rubio¹,

Crespo²,

Jäkel³

et al. 1998

REVMETAL

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Resumen Los materiales frágiles deben sus características al elevado número de microgrietas producidas en su conformación. Es por ello por lo que han ido apareciendo una serie de criterios de cálculo específicos para estos materiales que se basan en cálculos de tipo probabilista y en las propiedades del material definidas por Weibull. En el I.M.W. (Clausthal, Alemania) se ha desarrollado un programa de cálculo de resistencia de piezas de estos materiales, por ejemplo cerámicas, que trabaja como subprocesador de un programa de elementos finitos, MARC, de forma que permite analizar la probabilidad de vida de las piezas según tres criterios generales y criterios de mecánica de fractura (once para elementos de volumen y seis para elementos de superficie). Asimismo, el programa permite calcular la probabilidad de fallo, según estos criterios en el caso de que se realicen cálculos con carga aplicada durante intervalos de tiempo, y realizar cálculos de factores de seguridad con los que se ha diseñado la pieza.Palabras clave: Cerámicas. Probabilidad de fallo» Criterios de fractura. Elementos finitos. Use of numerical methods to calcúlate the reliability of components fabricated with fragüe materialsAbstract Some materials are fragüe due to the great number of microcraks produced during their conformation processes, for example ceramics. That is the reason why, along these years different design criteria have been proposed to calcúlate these fragüe materials, specially ceramics, based in probabilistic theories. A programme to calcúlate ceramic components with these criteria has been developed in the I.M.W. (Clausthal, Germany). This program works as a subprocessor of the fínite element program MARC, and can analyse the probabüity of survival of a component with three general criteria and with fracture mechanics criteria (eleven when calcuiating volume components and síx for surface ones). Those criteria have been implemented also to calcúlate the probabüity of survival with applied loads during time intervals and to calcúlate security factors.

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On a statistical approach to brittle rupture for multiaxial states of stress

Cited by 28 publications

References 31 publications

SCARE: A Postprocessor Program to MSC/NASTRAN for Reliability Analysis of Structural Ceramic Components

SCARE: A Postprocessor Program to MSC/NASTRAN for Reliability Analysis of Structural Ceramic Components

Phenomenological Yield and Failure Criteria

Análisis de componentes de material frágil por medio de métodos numéricos

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