Reliability assessment of structures based upon probabilistic fracture mechanics

Tsurui, Akira; Tanaka, Hiroaki; Ishikawa, Hidetoshi

doi:10.1016/0142-1123(94)90070-1

Cited by 7 publications

(12 citation statements)

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“…In order to clarify the influence of the fracture peculiarities on the failure probability of a fatigue loaded structure, Maljaars et al [102] used the linear elastic fracture mechanics (LEFM) theory to develop a probabilistic model. Ishikawa et al [103] proposed the Tsurui-Ishikawa model, while Yazdani and Albrecht [104] investigated the application of probabilistic LEFM to the prediction of the inspection interval of cover plates in highway bridges. As for the welded structures, a comprehensive overview of probabilistic fatigue assessment models can be found in the paper of Lukić and Cremona [105].…”

Section: Stochastic Crack Growth Modelsmentioning

confidence: 99%

“…The key feature of the work of Maljaars et al [102] with respect to other LEFM-based fatigue assessment studies [87,[103][104][105] is that it accounts for the fact that, at any moment in time, a large stress cycle causing fracture can occur. Therefore, the probability of failure in case of fatigue loaded structures can be calculated combining all the failure probabilities for all time intervals.…”

Section: Stochastic Crack Growth Modelsmentioning

confidence: 99%

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A Review on Fatigue Life Prediction Methods for Metals

Santecchia

Hamouda

Musharavati

et al. 2016

Advances in Materials Science and Engineering

219

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Metallic materials are extensively used in engineering structures and fatigue failure is one of the most common failure modes of metal structures. Fatigue phenomena occur when a material is subjected to fluctuating stresses and strains, which lead to failure due to damage accumulation. Different methods, including the Palmgren-Miner linear damage rule- (LDR-) based, multiaxial and variable amplitude loading, stochastic-based, energy-based, and continuum damage mechanics methods, forecast fatigue life. This paper reviews fatigue life prediction techniques for metallic materials. An ideal fatigue life prediction model should include the main features of those already established methods, and its implementation in simulation systems could help engineers and scientists in different applications. In conclusion, LDR-based, multiaxial and variable amplitude loading, stochastic-based, continuum damage mechanics, and energy-based methods are easy, realistic, microstructure dependent, well timed, and damage connected, respectively, for the ideal prediction model.

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Section: Stochastic Crack Growth Modelsmentioning

confidence: 99%

Section: Stochastic Crack Growth Modelsmentioning

confidence: 99%

A Review on Fatigue Life Prediction Methods for Metals

Santecchia

Hamouda

Musharavati

et al. 2016

Advances in Materials Science and Engineering

219

View full text Add to dashboard Cite

show abstract

“…Lin and Yang (1983) adopted a diffusive Markov process to obtain the first passage time to reach the critical crack size. Ishikawa et al(1993) started with crack-growth as a general stochastic process, but subsequently approximated the process to be Markovian (continuous-time and continuous-state) assuming that the correlation function vanishes at time intervals of practical interest. Spencer and Tang (1988) modeled crack growth with a two-dimensional Markov vector process [A(t) z(t)lT where A(t) is the crack size as in Eqn.…”

Section: Degradation Dependent On Service Ioadsmentioning

confidence: 99%

Reliability-based condition assessment of steel containment and liners

Ellingwood¹,

Bhattacharya²,

Zheng

1996

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“…Numerical computation of the weight function requires two virtual crack extensions. Recently, the use of analytical separation of the crack-tip field into mode I and mode II components with the symmetric mesh in the crack tip neighborhood was proposed by Ishikawa [22] and Sha [23] and Sha and Yang [9]. They extended this efficient finite element methodology from mode I cracks to mixed mode cracks for the determination of the stress intensity factors and the nodal weight functions on crack faces by only one virtual crack extension.…”

Section: Weight Function Formulation and Numerical Techniquementioning

confidence: 99%

Calculation of the stress intensity factor for arbitrary finite cracked body by using the boundary weight function method

Shen

Tsai

1993

Int J Fract

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An efficient boundary weight function method for the determination of stress intensity factors in a twodimensional mixed mode cracked body with arbitrary shape and subjected to arbitrary loading is presented in this study. The functional form of the boundary weight functions for modes I and II are successfully demonstrated by using the least squares fitting procedure. Explicit boundary weight functions are presented for rectangular plates of finite width and length containing edge and central cracks. If the stress distribution of a cut out rectangular cracked plate from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the stress intensity factors K~ and Kn for the cracked body can be obtained from the predetermined boundary weight functions by a simple integration. Comparison from the literature of the calculated results with some solutions by other workers confirms the efficiency and accuracy of the proposed weight function method.

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Reliability assessment of structures based upon probabilistic fracture mechanics

Cited by 7 publications

References 0 publications

A Review on Fatigue Life Prediction Methods for Metals

A Review on Fatigue Life Prediction Methods for Metals

Reliability-based condition assessment of steel containment and liners

Calculation of the stress intensity factor for arbitrary finite cracked body by using the boundary weight function method

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