An extended isogeometric boundary element formulation for three-dimensional linear elastic fracture mechanics

Autor(es)

Rocha, Matheus ; Trevelyan, Jon ; Leonel, Edson Denner

• Tipo de documento: Artigo Científico
• Fonte: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 423, p. 33-pg., 2024-02-26.

Resumo

This paper presents a novel extended isogeometric boundary element formulation (XIGABEM) for three-dimensional linear elastic fracture mechanics. The formulation utilises the Dual BEM to accommodate coincident geometries for opposing crack surfaces, and inherits the wellknown advantages of the NURBS basis as other isogeometric implementations. The originality herein involves the extension of the above -mentioned scheme to 3D using enrichment functions derived from asymptotic solutions for near -field crack tip displacements, in which Williams' expansions are used on the crack surfaces and on the boundaries crossed by the crack front. Besides, Heaviside functions enrich external boundaries and allow the displacement discontinuity modelling. As with most enriched formulations, additional degrees of freedom are introduced; novel strategies are presented for the generation of auxiliary equations to recover a square system. Another key element of the proposed scheme is that the stress intensity factors are recovered directly from the solution vector and no post processing is required. Four applications demonstrate the formulation robustness, with results of models having comparatively few degrees of freedom comparing well against classical and other published results. (AU)

• Processo FAPESP: 22/00714-2 - Formulações enriquecidas do método de elementos de contorno isogeométrico para análise de propagação de fissuras em componentes estruturais tridimensionais
• Beneficiário: Matheus Rocha
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 19/18795-6 - Desenvolvimento de formulações enriquecidas do método dos elementos de contorno isogeométrico para a análise da fratura e fadiga de estruturas tridimensionais
• Beneficiário: Matheus Rocha
• Modalidade de apoio: Bolsas no Brasil - Doutorado