# Finite element fracture modelling of concrete gravity dams

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1,072 citations

### "Finite element fracture modelling o..." refers methods in this paper

...Four-noded quadrilateral plane strain elements were used and a modified Newton-Raphson solution technique was adopted for the non-linear equations (Owen & Hinton 1980)....

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...Non-linear FE analysis using material plasticity models such as Drucker-Prager, Mohr-Coulomb (see, for example, Owen & Hinton 1980) and contact simulation of cracking are also often adopted to predict cracking in concrete dams....

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708 citations

### "Finite element fracture modelling o..." refers methods in this paper

...Constitutive relationship during cracking The multi-directional crack model proposed by De Borst and Nauta (1985) and Rots (1988), which is well established, is adopted and has the following main features: a new crack will be initiated whenever the angle between the normal to the crack plane of the…...

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...The shear retention factor is defined as a decreasing function of the crack normal strain in equation (3), which is similar to that used by Rots and Blaauwendraad (1989), except that a maximum shear retention factor βmax is defined here to limit the maximum shear allowed in a crack....

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352 citations

### "Finite element fracture modelling o..." refers methods in this paper

...Constitutive relationship during cracking The multi-directional crack model proposed by De Borst and Nauta (1985) and Rots (1988), which is well established, is adopted and has the following main features: a new crack will be initiated whenever the angle between the normal to the crack plane of the last crack and the current principal stress direction exceeds a pre-defined threshold angle or the inclined maximum principal stress σ1 violates the crack onset criterion....

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...Constitutive relationship during cracking The multi-directional crack model proposed by De Borst and Nauta (1985) and Rots (1988), which is well established, is adopted and has the following main features: a new crack will be initiated whenever the angle between the normal to the crack plane of the…...

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351 citations

### "Finite element fracture modelling o..." refers background in this paper

...(See for example Karihaloo 1995 for a background to fracture mechanics.)...

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332 citations

### "Finite element fracture modelling o..." refers methods in this paper

...This beam was tested experimentally by Bažant and Pfeiffer (1987) and modelled numerically by Bhattacharjee and Leger (1993) and Cai et al (2006). The model parameters used are listed in table 2....

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...This beam was tested experimentally by Bažant and Pfeiffer (1987) and modelled numerically by Bhattacharjee and Leger (1993) and Cai et al (2006). The model parameters used are listed in table 2. The mesh objectivity verification analyses carried out by Bhattacharjee and Leger (1993) and Cai et al (2006) have the following limitations: Sn cr...

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...This beam was tested experimentally by Bažant and Pfeiffer (1987) and modelled numerically by Bhattacharjee and Leger (1993) and Cai et al (2006)....

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