Corrections to B-models for fatigue life prediction of metals during crack propagation

Bea, José Antonio; Doblaré, M.; Villanueva, I.; Gracia, Luis

doi:10.1002/(sici)1097-0207(19991130)46:9<1405::aid-nme705>3.0.co;2-i

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…This method can be employed as a systematic technique to determine the effect of uncertainties of mechanical factors in the performance. The method proposed here was validated in [ 36 – 38 ].…”

Section: Resultsmentioning

confidence: 99%

A New Model to Study Fatigue in Dental Implants Based on Probabilistic Finite Elements and Cumulative Damage Model

Prados-Privado

Bea

Rojo

et al. 2017

Applied Bionics and Biomechanics

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The aim of this study was to predict the fatigue life of two different connections of a dental implant as in load transfer to bone. Two three-dimensional models were created and assembled. All models were subjected to a natural masticatory force of 118 N in the angle of 75° to the occlusal plane. All degrees of freedom in the inferior border of the cortical bone were restrained, and the mesial and distal borders of the end of the bone section were constrained. Fatigue material data and loads were assumed as random variables. Maximum principal stresses on bone were evaluated. Then, the probability of failure was obtained by the probabilistic approach. The maximum principal stress distribution predicted in the cortical and trabecular bone is 32 MPa for external connection and 39 MPa for internal connection. A mean life of 103 and 210 million cycles were obtained for external and internal connection, respectively. Probability cumulative function was also evaluated for both connection types. This stochastic model employs a cumulative damage model and probabilistic finite element method. This methodology allows the possibility of measured uncertainties and has a good precision on the results.

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Section: Resultsmentioning

confidence: 99%

A New Model to Study Fatigue in Dental Implants Based on Probabilistic Finite Elements and Cumulative Damage Model

Prados-Privado

Bea

Rojo

et al. 2017

Applied Bionics and Biomechanics

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“…Second, the strain values of three directions (0°, 45°, and 90°) could be collected by a dynamic data collector. The maximum and minimal strain values were calculated by equation (6) where e max is the maximum strain value; e min is the minimal strain value; e 0 , e 45 , and e 90 are the strain value along the direction of 0°, 45°, and 90°, respectively.…”

Section: Three-point Bending Fatigue Testmentioning

confidence: 99%

“…In 1920, Griffith 5 developed a theoretical and experimental research of glass brittle fractures and proposed an energy theory of crack propagation, which is the foundation for fracture mechanics. Bea et al 6 proposed a new model of predicting the fatigue crack propagation life of metal structural components. In this new model, they measured the initial and final crack lengths, crack propagation angle, fracture parameters, elastic parameters, and external load as random variables.…”

Section: Introductionmentioning

confidence: 99%

The fatigue behavior and fatigue reliability analysis of vibroseis baseplates based on fracture mechanics

Chen

Huang

Jing

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part O:

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Due to harsh working conditions and complicated external load, fatigue crack and fracture failure of the vibroseis baseplate usually occur during load cycles. To improve the fatigue resistance and extend the service life of the baseplates, this article studies the fatigue behavior of the baseplate materials and analyzes its fatigue reliability using fracture mechanics. Initially, the baseplate fatigue life is predicted by the crack propagation model based on the Paris' and Forman's laws. Three welded characteristic specimens of the baseplate are designed and fatigue is tested under a three-point bending load. The strain value and the crack propagation loading cycles are recorded during the test. Meanwhile, the crack propagation, damage, and fracture region of all the specimens are observed and tracked by scanning electron microscopy, which determines the fatigue damage mechanism of the baseplate. The fatigue reliability and parameter sensitivity analysis have been the subjects of previous research due to the randomness of the fatigue parameters. Finally, the most important random parameters are optimized based on the reliability analysis. As a result, the fatigue life reaches its maximum, and the reliability increases by 1.8%, resulting in a significant improvement in the fatigue resistance ability.

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“…As for the field of fatigue reliability analysis based on the fracture mechanics, Bea put forward a new method of calculating the crack propagation life of metal structures. In this model, the initial crack length, final crack length, crack propagation angle, fracture parameters, elastic parameters and external load are considered as random variables.…”

Section: Introductionmentioning

confidence: 99%

Fatigue reliability analysis for vibroseis baseplates

Huang

Chen

et al. 2016

Fatigue Fract Eng Mat Struct

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A B S T R A C T High precision vibroseis are widely used in oil and gas exploration. The key component of a vibroseis is its baseplate, suffered from complicated external load. Cracks could be generated in the baseplate, and fractures could occur in the welding parts of baseplates because of an extreme loading. This failure not only reduces the baseplate life significantly, but also affects the quality and precision of the signal excitation seriously. The objective of this work is to study the fatigue behavior of the baseplate by the finite element analysis (FEA) and fatigue reliability analysis. At first, the solid model of the baseplate is built, and the dynamic characteristics are analyzed by FEA based on the orthogonal design scheme. Then the stress distribution and peak area of baseplate are obtained under a series of loadings, thereby producing the stress-time data of the risky areas. With the S-N curve and the Palmgren-Miner cumulative damage theory, we could therefore predict the baseplate life, and then its fatigue reliability is calculated with the Kriging response surface method. The sensitivity of fatigue reliability with respect to the design parameters is also obtained, and this provides useful information about the importance of design parameters to the fatigue reliability, therefore resulting in the new design that would lead to longer baseplate life, higher quality of the seismic signal excitation, smaller signal distortion and higher accuracy of oil and gas exploration ultimately. Keywords crack; fatigue reliability; Kriging response surface method; S-N curve; sensitivity analysis; vibroseis baseplate. N O M E N C L A T U R E P = hydraulic peak force (MPa) A = piston rod end surface area (m 2 ) D = below cross column diameter (m) S 0 = numbers of the structure response stress level in one load cycle D a = cumulative damage S i = stress level (MPa) n i are numbers of S i appearing in the whole load process N i are maximum cycles of structure under the stress level S i S u = tensile strength of materials (MPa) S = simplified stress response (MPa) S a = amplitude value of alternating stress (MPa) S m = mean value of alternating stress (MPa) S max =maximum value of alternating stress (MPa) S min = minimum value of alternating stress (MPa) h(S) = function of stress L f = stress cycle number or fatigue life L D = designed life of baseplate ∑ m i¼1 1=N j = damage value of one cycle f(x) T = a set of basic functions (e.g. polynomials) α = a vector that gathers together the coefficients of the surface R = correlation matrix Correspondence: Z. Chen.

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Corrections to B-models for fatigue life prediction of metals during crack propagation

Cited by 5 publications

References 12 publications

A New Model to Study Fatigue in Dental Implants Based on Probabilistic Finite Elements and Cumulative Damage Model

A New Model to Study Fatigue in Dental Implants Based on Probabilistic Finite Elements and Cumulative Damage Model

The fatigue behavior and fatigue reliability analysis of vibroseis baseplates based on fracture mechanics

Fatigue reliability analysis for vibroseis baseplates

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