Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces

Tijssens, M.G.A.; Sluys, L.J.; Giessen, E. van der

doi:10.1016/s0997-7538(00)00190-x

Cited by 101 publications

(56 citation statements)

References 34 publications

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“…Meanwhile, as shown by Nie et al (2006), the failure of ATH/PMMA composites is initiated by the debonding between filler/matrix and the damage of the PMMA matrix is caused by the growth of the cavity, which happens so fast that crazing cannot be observed. In addition, to simulate the crazing of PMMA, cohesive elements need to be used over the entire RVE (Tijssens et al 2000), which may complicate the model significantly and increase the computational cost. Therefore, in this study, crack initiation is detected using a simple Rankine criterion, which means that a crack is formed when the principal tensile stress reaches the crack initiation stress of the brittle material.…”

Section: Damage Models and Materials Definitionmentioning

confidence: 99%

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

2018

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Particulate composites are found in a wide range of applications. Their heterogeneous microstructure affects their bulk behavior and structural performance, however tools for predicting this important structure-property relationship are still lacking. In this study, a numerical method that can provide predictions of the mechanical response of a particulate polymeric matrix composite as a function of volume fraction and particle mean diameter is presented. The work is derived for an alumina trihydrate filled poly(methyl methacrylate) but the methodology is generic and can be used for any particulate composite. Representative Volume elements are determined through images obtained from scanning electron microscopy. The model takes into account the possibility of failure through interface debonding as well as cracks through the matrix. The model predictions for the modulus and fracture strength of the composites are validated through independent experiments on the composite. The numerical results are also used to qualitatively explain the trends measured regarding the fracture toughness of the composites. Compared to other literature on particulate composites, our study is the first to report accurate stress-strain distributions as well as fracture predictions whilst all the necessary model parameters defining the failure criteria are all derived through independent experiments. This paves R. Zhang · J. Y. S. Li-Mayer · M. N. Charalambides (B) Department of Mechanical Engineering, Imperial College London, South Kensington, London SW7 2AZ, UK e-mail: m.charalambides@imperial.ac.uk the way for a relatively simple methodology for determining structure-property relationships in composites design, enabling smarter material utilization and optimal mechanical properties.

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Section: Damage Models and Materials Definitionmentioning

confidence: 99%

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

2018

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“…Regarding this topic, the reader may be referred to the works presented in Malvern (1969), Goodman et al (1968), Hillerborg et al (1976), Herrmann (1978), Ingraffea and Saouma (1985), Bocca et al (1986), Kikuchi and Oden (1988), Alfaiate et al (1992), Carol and Prat (1995), Lourenço and Rots (1997), Carey and Ma (1999), Tijssens et al (2000), Dias-da-Costa et al (2009). In the following, emphasis is put on the descriptions of both the DSDA and the GFEM.…”

Section: Problem Descriptionmentioning

confidence: 99%

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

et al. 2009

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In this paper, three different approaches used to model strong discontinuities are studied: a new strong embedded discontinuity technique, designated as the discrete strong embedded discontinuity approach (DSDA), introduced in Dias-da-Costa et al. [773][774][775][776][777][778][779][780][781] 1976). First, it is shown that all three descriptions are based on the same variational formulation. However, the main differences between these models lie in the way the discontinuity is represented in the finite element mesh, which is explained in the paper. Main focus is on the differences between the element enrichment technique, used in the DSDA and the nodal

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“…Extensions to 3D were presented in [16,17,18] and further improved to handle crack initiation and propagation in [19] and multiple cracks [20]. Other applications include multiple crack growth in brittle materials [21], crack growth in shells and plates [22], cohesive crack growth [23,24,25,26,27,28,29,11], bi-material interface cracks [30], holes and inclusions [31,32], brittle fracture in Polycrystalline Microstructures [33], shear bands [34] and, finally, contact problems [35]. Multiscale work has been performed with micro-macro crack models based on the LATIN methods (LArge Time INcrement method) in [36].…”

Section: Introductionmentioning

confidence: 99%

An extended finite element library

Bordas

Nguyen

Dunant

et al. 2007

Numerical Meth Engineering

240

135

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SUMMARYThis paper presents and exercises a general structure for an object-oriented enriched finite element code. The programming environment provides a robust tool for extended finite element (XFEM) computations and a modular and extensible system. The program structure has been designed to meet all natural requirements for modularity, extensibility, and robustness. To facilitate meshgeometry interactions with hundreds of enrichment items, a mesh generator and mesh database are included. The salient features of the program are: flexibility in the integration schemes (subtriangles, subquadrilaterals, independent near-tip and discontinuous quadrature rules); domain integral methods for homogeneous and bi-material interface cracks arbitrarily oriented with respect to the mesh; geometry is described and updated by level sets, vector level sets or a standard method; standard and enriched approximations are independent; enrichment detection schemes: topological, geometrical, narrow-band, etc.; multi-material problem with an arbitrary number of interfaces and slip-interfaces; non-linear material models such as J2 plasticity with linear, isotropic and kinematic hardening. To illustrate the possible applications of our paradigm, we present two-dimensional linear elastic fracture mechanics for hundreds of cracks with local near-tip refinement, and crack propagation in two dimensions as well as complex three-dimensional industrial problems.

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Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces

Cited by 101 publications

References 34 publications

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

Development of an image-based numerical model for predicting the microstructure–property relationship in alumina trihydrate (ATH) filled poly(methyl methacrylate) (PMMA)

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

An extended finite element library

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