Hermitian Cubic Boundary Elements for the Analysis of Cracks of Arbitrary Geometry

Watson, J. O.

doi:10.1007/978-3-642-83003-7_51

Cited by 12 publications

(8 citation statements)

References 1 publication

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“…The idea to use different boundary integral equations for definite decoupling of the crack surfaces was introduced by Watson [42] for elasticity and by Gray and Giles [12] for potential problems. Hong and Chen [16] …”

Section: Dual Bemmentioning

confidence: 99%

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

Kühn¹,

Partheymüller²

1997

Boundary Element Topics

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Section: Dual Bemmentioning

confidence: 99%

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

Kühn¹,

Partheymüller²

1997

Boundary Element Topics

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“…Bueckner [11] first utilized dual integral equation for solving crack problems. Watson [12], on the other hand, first developed dual integral equation from Boundary Element Method by forming the expression with displacement equation and the normal differentiation. The theory of such an expression was based on Hong and Chen [13] be simultaneously implemented on the crack boundary, general crack problems in a single region could be solved with Dual Boundary Element Method.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, such an approach could not be applied to the propagation problem of marginal cracks. Dual integral equation was also applied to solving 2D elasticity mechanics problems and proposed to be merely used for embedded cracks [12].…”

Section: Introductionmentioning

confidence: 99%

Fracture Characteristics Analysis of Pressured Pipeline with Crack Using Boundary Element Method

Huang

2015

Advances in Materials Science and Engineering

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Metal materials can inevitably show deteriorated properties by the factors of stress, temperature, and environmental erosion in distinct operating environments. Without proper protection, the service life would be shortened or even deadly danger would be caused. This study aims to apply Finite Element Method and Boundary Element Method to analyzing the effects of corroded petrochemical pipes on the fatigue life and the fracture form. The research results of nondestructive testing and software analyses show that cracked oil pipes with uniform corrosion bear larger stress, mainly internal pressure, on the longitudinal direction than the circumferential direction. As a result, the maximal fatigue loading cycle of a circumferential crack is higher than that of a longitudinal one. From the growing length and depth of a crack, the final aspect ratio of crack growth appears in 2.42-3.37 and 2.71-3.42 on the circumferential and longitudinal direction, respectively. Meanwhile, the ratios of loading cycles of circumferential and longitudinal crack are 26.23 on uncorroded and 20.54 on general metal loss oil pipe. The complete crack growth and the correspondent fatigue loading cycle could be acquired to determine the service life of the oil pipe being operated as well as the successive recovery time.

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“…Com esse procedimento, o número de incógnitas e equações independentes para os pontos da fissura é igual, garantindo assim a solução do sistema final de equações algébricas. Esse procedimento aparece inicialmente nos trabalhos de WATSON (1986WATSON ( , 1988) para problemas bidimensionais e depois no trabalho de GRAY et al (1990) para problemas tridimensionais.…”

Section: Alguns Livros Sobre O Assunto Acabaram Tornando-se Fortes Reunclassified

Modelos não lineares do método dos elementos de contorno para análise de problemas de fratura e aplicação de modelos de confiabilidade e otimização em estruturas submetidas à fadiga

Leonel¹

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Hermitian Cubic Boundary Elements for the Analysis of Cracks of Arbitrary Geometry

Cited by 12 publications

References 1 publication

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

Fracture Characteristics Analysis of Pressured Pipeline with Crack Using Boundary Element Method

Modelos não lineares do método dos elementos de contorno para análise de problemas de fratura e aplicação de modelos de confiabilidade e otimização em estruturas submetidas à fadiga

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