Boundary-integral equations and the boundary-element method for three-dimensional fracture mechanics

Zhao, Minghao; Yuan-jie, Liu; Chang-jun, Cheng

doi:10.1016/0955-7997(94)90027-2

Cited by 30 publications

(2 citation statements)

References 7 publications

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“…The displacement discontinuity method proposed by Crouch (1976) has been extended to 3D crack problems in isotropic elastic materials (Zhao et al 1994), transversely isotropic piezoelectric media (Zhao et al 1997a(Zhao et al , 1997b, and magnetoelectro-elastic media (Zhao et al 2007). Recently the extended displacement and temperature discontinuity boundary integral equation and boundary element method were developed for the analysis of cracks in 3D isotropic thermoelastic media and thermo-magneto-electro-elastic media (Zhao et al 2015, Li et al 2016, as well as for 2D (Zhao et al 2016b) and 3D crack analysis (Zhao et al 2016) in n-type piezoelectric semiconductors.…”

Section: Basic Equationsmentioning

confidence: 99%

Extended displacement discontinuity method for analysis of cracks in 2D thermal piezoelectric semiconductors

Zhao

Pan

Fan

et al. 2017

Smart Mater. Struct.

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The extended displacement discontinuities method has previously been used for crack analysis of elastic materials, piezoelectric media, magneto-electro-elastic media and piezoelectric semiconductors. Here, this method is extended to study cracks in two-dimensional n-type thermal piezoelectric semiconductors. The extended displacement discontinuities include the conventional displacement discontinuity, electric potential discontinuity, carrier density discontinuity, as well as temperature discontinuity across crack faces; correspondingly, the extended stresses represent conventional stress, electric displacement, electric current, and heat flux. Employing a Fourier transform, the fundamental solutions for a line crack under uniformly distributed extended displacement discontinuities on the crack faces are derived under mechanical, electrical, and heat loading. Based on the obtained fundamental solutions, an extended displacement discontinuity boundary element method is developed. The stress and heat flux intensity factors at the crack tip are calculated under different combined loadings.

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Section: Basic Equationsmentioning

confidence: 99%

Extended displacement discontinuity method for analysis of cracks in 2D thermal piezoelectric semiconductors

Zhao

Pan

Fan

et al. 2017

Smart Mater. Struct.

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“…Vários problemas governados pela teoria da Elastodinâmica têm sido estudados nos diversos centros de pesquisa do mundo (ações dinâmicas em edifícios, em pontes, em torres, análise dinâmica da mecânica da fratura, análise dinâmica da interação solo -estrutura, dentre outras), conforme BESKOS (1987) e MOAN et al (1993).…”

Section: -Elastodinâmicaunclassified

Método dos Elementos de Contorno com a Reciprocidade Dual para a análise transiente tridimensional da mecânica do fraturamento

Barbirato¹

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Ao Professor Dr. Wilson Sérgio Venturini, pela orientação sempre presente, amizade e compreensão. É, também, exemplo de estímulo à pesquisa e à docência. À Gianna, pela paciência em revisar os capítulos, mesmo não sendo da sua área, o que me trouxe uma ajuda adicional. A todos os amigos da pós-graduação de estruturas da EESC/USP pela convivência agradável e enriquecedora; em especial ao amigo Mário César e Yansheng Jiang pela troca de informações e discussões sobre fraturamento. Aos Professores e Funcionários do SET/EESC/USP que direta ou indiretamente colaboraram para a realização deste trabalho. Ao Departamento de Engenharia Estrutural do Centro de Tecnologia da UFAL que, ao implementar um programa de capacitação docente, propiciou meu afastamento para a realização deste trabalho, além do apoio recebido ao retornar. Aos grandes amigos de ontem e de sempre, Aline, Valéria, Edna, Solange, Léa, Marcio, Flávio, Jefferson, Sérgio e Nelson, pelo constante apoio e amizade. Ao povo brasileiro que paga impostos para manter, entre outros, o programa CAPES-PICD do qual fui beneficiado com uma bolsa de doutoramento.

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The method of analysis of crack problem in three-dimensional non-local elasticity

et al. 1999

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In this paper, the displacement discontinuity fundamental solution (DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional ( 3D ) non-local elasticity under symmetrical condition is obtained. Based on the displacement discontinuity boundary integralequation (DDBIE) and boundary-element method (DDBEM) of local ( classical ) elasticity, a method of analysis of crack in 3 D non-local elasticity with wide application is proposed with theDDFS. Through the method, several important problems of fracture mechanics are analysed.

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Boundary-integral equations and the boundary-element method for three-dimensional fracture mechanics

Cited by 30 publications

References 7 publications

Extended displacement discontinuity method for analysis of cracks in 2D thermal piezoelectric semiconductors

Extended displacement discontinuity method for analysis of cracks in 2D thermal piezoelectric semiconductors

Método dos Elementos de Contorno com a Reciprocidade Dual para a análise transiente tridimensional da mecânica do fraturamento

The method of analysis of crack problem in three-dimensional non-local elasticity

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