Thermally activated fracture of porous media

Guarino, Alessio; Ciliberto, S.

doi:10.1140/epjb/e2011-10977-4

Cited by 4 publications

(4 citation statements)

References 24 publications

(39 reference statements)

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“…In two dimensions, a good approximation of Eq. (3) for random damage is E ≃ E 0 (1 − 2Φ) [38,39]. Thus, we also expect a simple relationship between the temporal evolution of the modulus and the damage as measured by the fraction of broken bonds.…”

Section: Modelmentioning

confidence: 79%

“…However, it was also found that the rate of broken fuses is non monotonous in time: first it decreases mostly as 1/t (thus resulting in a logarithmic decay of the damage) and then it increases until macroscopic rupture occurs [35]. In comparison, the full dynamics of the 2D RFN with disorder and thermal noise is little explored [37,38]. A clear connection between the actual dynamical response of the 2D RFN under constant applied stress and the damage dynamics as a function of disorder, temperature and external loading is still lacking.…”

Section: Introductionmentioning

confidence: 99%

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Long-time damage under creep experiments in disordered materials: Transition from exponential to logarithmic fracture dynamics

2013

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Some materials, and in particular some polymer materials, can display an important range of stress levels for which slow and progressive damage can be observed before they finally break. In creep or fatigue experiments, final rupture can happen after very long times, during which the mechanical properties have progressively decayed. We model here some generic features of the long-time damage evolution of disordered elastic materials under constant load, characterized by a progressive decrease of the elastic modulus. We do it by studying a two-dimensional electric random fuse network with quenched disorder and thermal noise. The time evolution of global quantities (conductivity or, equivalently, elastic modulus) is characterized by different regimes ranging from faster than exponential to slower than logarithmic, which are governed by the stress level and the relative magnitude of disorder with respect to temperature. A region of widely distributed rupture times exists where the modulus decays (more slowly than) logarithmically for not too small values of the disorder and for not too large values of the load. A detailed analysis of the dynamical regimes is performed and presented through a phase diagram.

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Section: Modelmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Long-time damage under creep experiments in disordered materials: Transition from exponential to logarithmic fracture dynamics

2013

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“…Among the earliest works, Schallamach [1][2][3] introduced one-dimensional models for rubber friction, where friction is assumed to arise from shearing and consequent thermally activated breaking and rebinding of distinct bonds between rubbing members. Since then, rupture models with various degrees of sophistication describe the mechanical response of the rubbing surfaces under deformation forces, for instance, stick-slip dynamics [13,28,29], transition from static to kinetic friction [5], creeping dynamics [30,31], creep and fast dynamics in peeling of polymeric materials [32], the role of temperature in the fracture of soft materials and biological adhesion [33,34], critical behavior characterizing fracture regimes [35][36][37][38], thermally activated rupture [32,[39][40][41]. These models are generic; for instance, further developments of the earthquake model [9] describe different aspects of friction [5,6,42,43], including tuning the friction properties of a hierarchical surface [44,45].…”

Section: Introductionmentioning

confidence: 99%

Solution of steady state in the model polymer system with rupture and rebinding

Shukla,

Pathak,

Debnath

2024

Phys. Scr.

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In this paper, we study the steady state attained in our model polymer system that attempts to explain the relative motion between soft rubbing surfaces at the single polymer level. We generalize our one-dimensional model [Borah et al., 2016 Soft Matter 12 4406] by including the rebinding of interconnecting bonds between a flexible transducer (bead spring polymer) and a rigid fixed plate. The interconnecting bonds described as harmonic springs rupture and rebind stochastically when a constant force pulls the flexible transducer. We obtain a distinct steady state in stochastic simulations of the model when the bead positions and the bond states (closed or open) are independent of time, analogous to creep states in frictional systems and rupture termination states in earthquakes. The simulation results of the stochastic model for specific parameter sets agree with the numerical solution to the mean-field equations developed for analytical tractability. We develop an analytical solution for the steady state within the homotopy analysis method, which converges and agrees well with the numerical results.

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“…Radi et al (2002) considered the steady state crack growth in elastic-plastic porous media. In addition, studies of the thermally activated fracture in porous media were reported by Guarino and Ciliberto (2011).…”

Section: Introductionmentioning

confidence: 99%

A micromechanical analysis of the fracture properties of saturated porous media

Liu

Chen

2015

International Journal of Solids and Structures

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a b s t r a c tA two-dimensional single edge crack problem is employed to investigate the fracture behavior of saturated poroelastic media. The media are mimicked by a micromechanical model consisting of elastic matrix and square arrays of voids with prescribed uniform pore pressure. Finite element method is used to simulate the fracture responses of the model subject to remote stress and pore pressure loading. The stress extrapolation method is extended for the porous media to calculate the nominal stress intensity factor (SIF) from the crack tip stress field. By adopting the tensile strength criterion and assuming either brittle or ductile failure of the constituent solid skeleton of the porous media, lower and upper bounds of the fracture toughness are obtained. Theoretical expressions for the stress intensity factor and the toughness are derived, agreeing well with numerical results. The effects of the arrangement of pores and the non-uniform pore pressure on the cracking of porous media are discussed and are found to only have moderate effects on the obtained results.

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Thermally activated fracture of porous media

Cited by 4 publications

References 24 publications

Long-time damage under creep experiments in disordered materials: Transition from exponential to logarithmic fracture dynamics

Long-time damage under creep experiments in disordered materials: Transition from exponential to logarithmic fracture dynamics

Solution of steady state in the model polymer system with rupture and rebinding

A micromechanical analysis of the fracture properties of saturated porous media

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