Feature-preserving rational Bézier triangles for isogeometric analysis of higher-order gradient damage models

Liu, Ning; Jeffers, Ann E.

doi:10.1016/j.cma.2019.112585

Cited by 34 publications

(15 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An evenly distributed shear stress of = 1 MPa is applied as tractions on remote boundaries of the plate, as shown in Figure 6A. 67,68 Normalized polar stress and strain components are extracted in a circular path of radius r∕a = 0.4 centred at the crack tip and then plotted against the crack tip angular position (see Figure 6B,C). The FE model consists of quadratic quadrilateral elements of type CPS8 with unit thickness and employs collapsed quarter-point elements at the crack tip.…”

Section: Comparing Exact Stress Field Versus Fe Solutionmentioning

confidence: 99%

“…Note that one may achieve a faster transition of element size from fine to coarse using a feature-preserving unstructured meshing tool proposed by Liu and Jeffers. 67,68 Normalized polar stress and strain components are extracted in a circular path of radius r∕a = 0.4 centred at the crack tip and then plotted against the crack tip angular position (see Figure 6B,C). The exact stress field is taken from (23).…”

Section: Comparing Exact Stress Field Versus Fe Solutionmentioning

confidence: 99%

See 1 more Smart Citation

On higher order parameters in cracked composite plates under far‐field pure shear

Ghouli

Ayatollahi

Nejati

2019

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

This paper presents the analytical solution of the crack tip fields as well as the crack parameters in an infinitely large composite plate with a central crack subjected to pure shear loading. To this end, the complex variable method is employed to formulate an asymptotic solution for the crack tip fields in an anisotropic plane. Using a stress-based definition of the crack tip modes of loading, only the mode II crack parameters are found to be non-zero under pure shear load. Special focus is given to the determination of the higher order parameters of the crack tip asymptotic field, particularly the first non-singular term, ie, the T-stress. Unlike the isotropic materials, in which the T-stress is zero under pure shear, it is found that the T-stress is non-zero for the case of anisotropic materials, being the only material-dependent crack tip stress parameter. The veracity of our exact crack tip fields is assessed and verified through a comparison made with respect to the finite element (FE) solution. Finally, we demonstrate the significance of the T-stress on stresses near the crack tip in composite plates under pure shear loads.

show abstract

Section: Comparing Exact Stress Field Versus Fe Solutionmentioning

confidence: 99%

Section: Comparing Exact Stress Field Versus Fe Solutionmentioning

confidence: 99%

On higher order parameters in cracked composite plates under far‐field pure shear

Ghouli

Ayatollahi

Nejati

2019

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Kiefer et al [9] presented another approach for a coupling of gradient damage with inelasticity, and Sprave et al [10] computed complex boundary value problems based on a coupled gradient-enhanced damage formulation. For further, advanced concepts in the context of gradient damage, see, e.g., the work by Liu and Jeffers [11] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework

2020

View full text Add to dashboard Cite

The simulation of complex engineering components and structures under loads requires the formulation and adequate calibration of appropriate material models. This work introduces an optimisation-based scheme for the calibration of viscoelastic material models that are coupled to gradient-enhanced damage in a finite strain setting. The parameter identification scheme is applied to a self-diagnostic poly(dimethylsiloxane) (PDMS) elastomer, where so-called mechanophore units are incorporated within the polymeric microstructure. The present contribution, however, focuses on the purely mechanical response of the material, combining experiments with homogeneous and inhomogeneous states of deformation. In effect, the results provided lay the groundwork for a future extension of the proposed parameter identification framework, where additional field-data provided by the self-diagnostic capabilities can be incorporated into the optimisation scheme.

show abstract

“…Further, the deformation in the material, such as the elastic singularity at the crack tip, is complex and interacts nontrivially with crack path selection [1]. Over recent years, different numerical methods have been developed for predicting crack path such as the extended finite element method (XFEM) [2], the phase field approach [3] and higher order gradient damage models [4]. The XFEM approach enriches the traditional FEM through improved handling of discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Data Driven Prognosis of Fracture Dynamics Using Tensor Train and Gaussian Process Regression

et al. 2020

View full text Add to dashboard Cite

Feature-preserving rational Bézier triangles for isogeometric analysis of higher-order gradient damage models

Cited by 34 publications

References 35 publications

On higher order parameters in cracked composite plates under far‐field pure shear

On higher order parameters in cracked composite plates under far‐field pure shear

Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework

Data Driven Prognosis of Fracture Dynamics Using Tensor Train and Gaussian Process Regression

Contact Info

Product

Resources

About