3D boundary element analysis of creep continuum damage mechanics problems

Gün, Halit

doi:10.1016/j.enganabound.2005.05.003

Cited by 7 publications

(2 citation statements)

References 8 publications

(16 reference statements)

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“…Further results have confirmed the effectiveness of both Laplace transform and time domain BEM in predicting timedependent stress intensity factors and energy release rates under constant and time dependent loads [29]. In parallel with viscoelastic material modelling for polymers, BEM analyses, based on viscoplasticity, have also been developed for predicting metal creep and rupture [30][31][32].…”

Section: Introductionmentioning

confidence: 79%

Nonlinear Viscoelastic Fracture Mechanics Using Boundary Elements

Syngellakis

2010

KEM

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The boundary element methodology is applied to the fracture mechanics of non-linear viscoelastic solids. The adopted non-linear model is based on the ‘free volume’ concept, which is introduced into the relaxation moduli entering the linear viscoelastic relations through a time shift depending on the volumetric strain. Nonlinearity generates an irreducible domain integral into the original boundary integral equation governing the behaviour of linear viscoelastic solids. This necessitates the evaluation of domain strains, which relies on a non-standard differentiation of an integral with a strong kernel singularity. A time domain formulation based on constant shape functions over boundary elements and domain cells is computer-implemented through a numerical integration algorithm. The effectiveness of the developed numerical tool is demonstrated through the analysis of a plate with a central crack. The predicted stress field around the crack tip is compared with respective results obtained by the finite element method.

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Section: Introductionmentioning

confidence: 79%

Nonlinear Viscoelastic Fracture Mechanics Using Boundary Elements

Syngellakis

2010

KEM

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“…The main advantage of RIM over DRM is that the radial basis functions (RBF) approximating unknown quantities can be freely chosen for a fixed RIM scheme. The radial integration boundary element method (RIBEM) has been successfully implemented and applied to linear thermoelasticity [15], elastic inclusion problems [26], creep damage mechanics problems [27], transient heat conduction problems [28,29], and viscous flow problems [30]. Recently, a boundary-domain integral equation method (BDIEM) or boundary-domain element method (BDEM) for transient crack analysis in functionally graded (FG), coupled linear thermoelastic materials subjected to thermal shock loading has been developed by Ekhlakov et al [31][32][33][34], who used the Laplace-transformed fundamental solutions for homogeneous, isotropic and coupled linear thermoelastic materials.…”

Section: Introductionmentioning

confidence: 99%