A progressive damage ‘continuum’ model for granular materials

Resende, L.; Martin, J. B.

doi:10.1016/0045-7825(84)90029-x

Cited by 38 publications

(10 citation statements)

References 19 publications

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“…It is convenient here to adopt the definition used by Resende and Martin (1984); the damage parameter, >.., is a quantity that varies from 0 (undamaged virgin ice) to I (completely pulverized ice). It is given by (I) where Go = shear modulus of virgin ice, and G = shear modulus of damaged ice.…”

Section: Results and Interpretationmentioning

confidence: 99%

Dynamics of the Ice-Crushing Process

Jordaan¹,

Timco²

1988

J. Glaciol.

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ABSTRACT. During fast indentation tests on ice sheets at constant rates, crushing is commonly observed at appropriate combinations of speed and aspect ratio. An analysis is made of this mode of failure, using as a basis a recently conducted test on an ice sheet under controlled conditions. The variation of load with time is given special attention, and cyclic variation of load is associated with periodic crushing (pulverization) events, followed by clearing of the crushed ice particles. An analysis of the clearing process is summarized in the paper, treating the crushed ice as a viscous material. A detailed analysis of the energy exchanges during the indentation process is given. Elastic variations of stored energy in the indenter and in the ice sheet are calculated; these are relatively minor. The dissipation of energy during a typical load cycle (3 mm movement during 0.05 s) is about 8 J. The energy required to create surfaces of the crushed ice particles is small (0.006 J), as is the work of crushing based on mechanical testing (0.09 J). It is concluded that the process of viscous extrusion of crushed ice is the main seat of energy dissipation, basically as a frictional process. A relationship for the mean thickness of the crushed ice layer is developed, based on energy-balance considerations.

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Section: Results and Interpretationmentioning

confidence: 99%

Dynamics of the Ice-Crushing Process

Jordaan¹,

Timco²

1988

J. Glaciol.

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“…metals, alloys, metal-matrix composites) is quite broad, investigations on damage effects in rocklike materials and their modelling are not very numerous. Works addressing damage in brittle materials, namely concrete, are those by Resende and Martin [6], Suaris et al [7], Krajcinovic [8], only to quote a few. A model to describe the plastic deformation coupled with anisotropic damage in claystone was recently proposed by Chiarelli et al [9].…”

Section: Introductionmentioning

confidence: 99%

A visco-damage model for brittle materials under monotonic and sustained stresses

Papa

Taliercio

2005

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYA theoretical model is proposed to describe the evolution of damage in brittle materials, such as concrete and masonry, subjected to increasing or sustained stresses of relatively high intensity. The model is based on the introduction of suitable damage variables in a rheological model. In this way, it is possible to describe the material behaviour under stresses either increasing or constant in time. The capabilities of the model in describing the mechanical response of material elements subjected to different stress histories are illustrated. Some correlations with experimental data from tests performed on masonry and concrete specimens are presented, to assess the reliability of the theoretical predictions. The results of some numerical applications to non-proportional stress paths are also illustrated. Finally, the limitations of the proposal are discussed and possible further improvements are envisaged.

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“…decrease of the stiffness) at the macroscopic level (e.g. Loland, 1980;Ortiz and Popov, 1982;Krajcinovic, 1983Krajcinovic, , 1985Resende and Martin, 1984;Simo and Ju, 1987a,b;Mazars and Pijaudier-Cabot, 1989;Lubarda et al, 1994). However, there are several facets of concrete behavior (e.g.…”

Section: Introductionmentioning

confidence: 96%