Sensitivity analysis based crack propagation criterion for compressible and (near) incompressible hyperelastic materials

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Primo¸ ¦u¨tarič (Autor) Outra; Mariana R. R.Seabra (Autor) FEUP; Jose M.A. Cesar de Sa (Autor) FEUP; Toma¸ Rodič (Autor) Outra

Revista

Título: Finite Elements in Analysis and Design

Vol. 82

Páginas: 1-15

ISSN: 0168-874X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

ISI Web of Science

Scopus - 2 Citações

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica

Outras Informações

ID Authenticus: P-009-37P

DOI: 10.1016/j.finel.2013.12.002

Abstract (EN): Sensitivity analysis of an XFEM crack propagation model is developed for shape and material parameters, where the direct differentiation method is applied to large strain problems with hyperelastic neo-Hookean materials. The presence of level set functions to describe the crack position requires the development of a proper differentiation technique which is also addressed. In order to compute the analytical derivatives of such a complex numerical model the capabilities of the symbolic system AceGen are employed. A crack propagation criterion based on the sensitivity formulation is developed, allowing the direct calculation of the crack growth length ancl direction without post-processing. Special attention is paid to the ability of satisfying incompressibility and near-incompressibility conditions. The performance of the XFEM sensitivity analysis is assessed by the Cook's Membrane and Pre-crack Plate benchmark tests where sensitivities of displacements and crack propagation criteria based on potential energy have been analysed with respect to crack length and crack growth parameters. The techniques presented in this paper can be extended to anisotropic materials and non-linear materials exhibiting plasticity and viscoplasticity. Additionally, this formulation constitutes a base for further analysis of crack branching and crack joining problems.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15