Fracture with healing: A first step towards a new view of cavitation

  title={Fracture with healing: A first step towards a new view of cavitation},
  author={Gilles A. Francfort and Alessandro Giacomini and Oscar Lopez-Pamies},
  journal={Analysis \& PDE},
Recent experimental evidence on rubber has revealed that the internal cracks that arise out of the process often referred to as cavitation can actually heal. In this contribution we demonstrate that crack healing can be incorporated into the variational framework for quasi-static brittle fracture evolution that has been developed in the last twenty years. This will be achieved for two-dimensional linearized elasticity in a topological setting, that is when the putative cracks are closed sets… 

Figures from this paper

The revisited phase-field approach to brittle fracture: application to indentation and notch problems

In a recent contribution, Kumar et al. (J Mech Phys Solids 142:104027, 2020) have introduced a comprehensive macroscopic phase-field theory for the nucleation and propagation of fracture in linear

The poker-chip experiments of Gent and Lindley (1959) explained

Abstract Despite being commonly credited with initiating the field of cavitation in elastomers, the famed poker-chip experiments of Gent and Lindley (1959) have yet to be fully explained. One likely

From Statistical Polymer Physics to Nonlinear Elasticity

A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes that, for a class

Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain

The model introduced in [45] in the framework of the theory on StressDriven Rearrangement Instabilities (SDRI) [3, 43] for the morphology of crystalline materials under stress is considered. As in



Cavitation in rubber: an elastic instability or a fracture phenomenon?

The viewpoint that cavitation in rubber—that is, the sudden growth of inherent defects in rubber into large enclosed cavities in response to external stimuli—is a purely elastic phenomenon has long

Internal rupture of bonded rubber cylinders in tension

  • A. GentP. B. Lindley
  • Materials Science
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1959
An unusual rupture process is described. It consists of the sudden appearance of internal cracks in bonded rubber cylinders at a well-defined and comparatively small tensile load. The cracks occur in

A Model for the Quasi-Static Growth¶of Brittle Fractures:¶Existence and Approximation Results

Abstract We give a precise mathematical formulation of a variational model for the irreversible quasi-static evolution of brittle fractures proposed by G. A. Francfort and J.-J. Marigo, and based on

Quasi static growth of brittle cracks in a linearly elastic flexural plate

In this paper we propose a variational model for the irreversible quasi static growth in brittle fractures for a linearly elastic homogeneous isotropic plate, subject to a time dependent vertical

Invertibility and Weak Continuity of the Determinant for the Modelling of Cavitation and Fracture in Nonlinear Elasticity

In this paper, we present and analyze a variational model in nonlinear elasticity that allows for cavitation and fracture. The main idea in unifying the theories of cavitation and fracture is to

Failure processes in elastomers at or near a rigid spherical inclusion

A systematic experimental study has been carried out of two distinct failure phenomena, cavitation and debonding, in an elastomer containing a rigid spherical inclusion. Several elastomers were

Existence and convergence for quasi‐static evolution in brittle fracture

This paper investigates the mathematical well‐posedness of the variational model of quasi‐static growth for a brittle crack proposed by Francfort and Marigo in [15]. The starting point is a time

Damage in elastomers: nucleation and growth of cavities, micro-cracks, and macro-cracks

The nucleation of internal cavities and their transition to cracks are examined at high spatial and temporal resolutions within polydimethylsiloxane (PDMS) elastomers of various cross-link densities