Publication

Avalanches in dry and saturated disordered media at fracture in shear and mixed mode scenarios

Abstract

We investigate shear and mixed mode fracture scenarios in inhomogeneous dry and fully saturated porous media with a 2D central force lattice model. For the fully saturated case we adopt the extended Biot's theory. The bars of the lattice break only under traction which is a common assumption in lattice models for rocks. The breaking process is simulated with a continuous damage model where after a partial failure event, spring elements are assigned a new failure threshold sampled from a uniform distribution. We investigate avalanche behaviour of the damaging events as well as the pressure evolution and the existence of pressure jumps linked to the breaking events in the disordered medium. In pure shear fracture the behaviour differs from that observed previously with the same model for prevailing tearing conditions. Power law distribution of the damaging events does not hold anymore and the overall behaviour is brittle without intermittent crack tip advancement. Pressure fluctuations are however observed. In a mixed mode scenario some of the features observed under prevailing tearing conditions are recovered such as the overall elasto-plastic behaviour. An estimate of the time needed for the internal rearrangements within a loading step is given.

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Related concepts (37)
Fracture
Fracture is the separation of an object or material into two or more pieces under the action of stress. The fracture of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid. If a displacement develops perpendicular to the surface, it is called a normal tensile crack or simply a crack; if a displacement develops tangentially, it is called a shear crack, slip band or dislocation. Brittle fractures occur without any apparent deformation before fracture.
Behavior
Behavior (American English) or behaviour (British English) is the range of actions and mannerisms made by individuals, organisms, systems or artificial entities in some environment. These systems can include other systems or organisms as well as the inanimate physical environment. It is the computed response of the system or organism to various stimuli or inputs, whether internal or external, conscious or subconscious, overt or covert, and voluntary or involuntary.
Behavioural sciences
The behavioural sciences explore the cognitive processes within organisms and the behavioural interactions between organisms in the natural world. It involves the systematic analysis and investigation of human and animal behaviour through naturalistic observation, controlled scientific experimentation and mathematical modeling. It attempts to accomplish legitimate, objective conclusions through rigorous formulations and observation. Examples of behavioural sciences include psychology, psychobiology, anthropology, economics, and cognitive science.
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