Energy release rate (fracture mechanics)

Résumé

In fracture mechanics, the energy release rate, G, is the rate at which energy is transformed as a material undergoes fracture. Mathematically, the energy release rate is expressed as the decrease in total potential energy per increase in fracture surface area, and is thus expressed in terms of energy per unit area. Various energy balances can be constructed relating the energy released during fracture to the energy of the resulting new surface, as well as other dissipative processes such as plasticity and heat generation. The energy release rate is central to the field of fracture mechanics when solving problems and estimating material properties related to fracture and fatigue. Definition The energy release rate G is defined as the instantaneous loss of total potential energy \Pi per unit crack growth area s, : G \equiv -\frac{\partial \Pi}{\partial s} , where the total potential energy is writt

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https://en.wikipedia.org/wiki/Energy_release_rate_(fracture_mechanics)

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Fracture toughness of sandstone under dry, saturated and immerged conditions

Salma Lemghari

Water-induced strength reduction is one of the most critical causes of rock engineering disasters. Understanding the influence of water on the fracture toughness of rocks is necessary for rock fracture mechanics and rock engineering applications such as mining, tunneling, and the exploitation of deep geothermal reservoirs. However, only a few studies have been conducted to understand the effect of water on fracture properties such as fracture toughness. In this thesis, the effect of water on fracture toughness and fracture energy in several sandstones was investigated. First, several preliminary characterization tests were performed on all samples: P and S-wave velocity, porosity analysis, X-ray diffraction method, and thin section microscopic observation. CCNBD method was used to measure Mode I fracture toughness under dry, saturated and immerged conditions. Results show a decrease in fracture toughness and fracture energy after saturation and a higher decrease for immerged samples. The toughness reduction was larger for the most porous rocks and the one that contained a high percentage of phyllosilicates (clay minerals). We conclude that fracture toughness in sandstone is strongly affected by saturation, and mineralogy of the rock.

2020

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Size effect on fracture energy induced by non-locality

Simon Rolshoven

2004

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Analytical model of asymmetrical Mixed-Mode Bending test of adhesively bonded GFRP joint

Moslem Shahverdi

This paper presents new analytical model of asymmetric mixed-mode bending (MMB) specimen of adhesively bonded pultruded GFRP joints. An easily applicable relationship for the calculation of the strain energy release rate of the asymmetric MMB specimens is proposed based on the beam theory. The model is capable to analyze stacking sequence as well as various crack propagation paths. In the paper the effect of the various fiber bridging length and different crack propagation paths is analyzed analytically and supported by experimental results. The methodology and results presented in this paper could be utilized for the design of both joint geometry and lay-up of the laminates constituting the joint or for the prediction of the fracture behavior of such structures.

2015

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