Anisotropy of the effective toughness of layered media

Brach, Stella; Hossain, Manoar; Bourdin, Blaise; Bhattacharya, Kaushik

doi:10.1016/j.jmps.2019.06.021

Cited by 35 publications

(28 citation statements)

References 15 publications

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“…While these works provide valuable insights into the influence of the material disorder on fracture properties, they have overlooked the strong impact of the local interaction mechanisms between the crack front and the heterogenities on the homogenized fracture properties. On the contrary Gao and Rice (1989), Bower and Ortiz (1991), Hossain et al (2014) and Brach et al (2019) have studied these mechanisms in great details, and show how they could impact the overall crack growth resistance. But their study was limited to two-dimensional or periodic microstructures so that they did not address the role of collective depinning of the crack from obstacles on the macroscopic toughness.…”

Section: Intrinsic Fracture Properties Of Three-dimensional Heterogeneous Materialsmentioning

confidence: 99%

“…The maximum energy release rate imposed by the loading during crack propagation G ∞ max . This definition was adopted by Hossain et al (2014) and Brach et al (2019) in twodimensional phase-field simulations of the interaction of a crack with elastic and toughness heterogeneities. It was also used by Vasoya et al (2016) to characterize the reinforcement of weak interfaces by a periodic array of tough obstacles.…”

Section: The Effective Toughness : Three Possible Definitions For a Single Materials Propertymentioning

confidence: 99%

“…In FEM-based computational methods, L is often set by loading conditions. Recent forefront numerical studies computed the effective toughness of two-dimensional heterogeneous materials from phase-field simulations using a well-thought surfing boundary condition (Hossain et al, 2014;Brach et al, 2019). This condition appears to set L ≃ L y , where L y is the height of the simulation domain in the direction perpendicular to crack propagation.…”

Section: Implications On Numerical Simulations and Experimental Set-upsmentioning

confidence: 99%

“…The stress singularity at the crack tip enhances at the large scale the local mechanisms of interaction between a crack and inclusions, which have been extensively studied in the past few decades (e.g. crack trapping (Gao and Rice, 1989;Bower and Ortiz, 1990;Vasoya et al, 2016), crack deflection (Faber and Evans, 1983;He and Hutchinson, 1989;Clayton and Knap, 2014;Brach et al, 2019;Lebihain et al, 2020), crack shielding by micro-cracking (Evans and Faber, 1981;Ortiz, 1987), crack denucleation/renucleation (Leguillon et al, 2006;Hossain et al, 2014;Wang and Xia, 2017) and crack bridging (Bower and Ortiz, 1991;Mirkhalaf et al, 2014)). These pioneering works provide a detailed description of the conditions under which one mechanism prevails over one another as well as its ultimate contribution to the material reinforcement.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effective toughness of disordered brittle solids: A homogenization framework

Lebihain

Ponson

Kondo

et al. 2021

Journal of the Mechanics and Physics of Solids

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Section: Intrinsic Fracture Properties Of Three-dimensional Heterogeneous Materialsmentioning

confidence: 99%

Section: The Effective Toughness : Three Possible Definitions For a Single Materials Propertymentioning

confidence: 99%

Section: Implications On Numerical Simulations and Experimental Set-upsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective toughness of disordered brittle solids: A homogenization framework

Lebihain

Ponson

Kondo

et al. 2021

Journal of the Mechanics and Physics of Solids

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“…Research is currently underway to derive predictive analytical and numerical approaches (for which models have begun to appear [21,37,38]) that would accurately describe the progressive fracture and increased reliability of layered natural composite structures. This could potentially be used as an inspiration for alternative designs of future engineering composites.…”

Section: Layer Thickness Variability In Cylindrical Structuresmentioning

confidence: 99%

Hierarchical Interfaces as Fracture Propagation Traps in Natural Layered Composites

Wagner

2021

Materials

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Compared with their monolithic version, layered structures are known to be beneficial in the design of materials, especially ceramics, providing enhanced fracture toughness, mechanical strength, and overall reliability. This was proposed in recent decades and extensively studied in the engineering literature. The source of the property enhancement is the ability of layered structures to deflect and often arrest propagating cracks along internal interfaces between layers. Similar crack-stopping abilities are found in nature for a broad range of fibrillary layered biological structures. Such abilities are largely governed by complex architectural design solutions and geometries, which all appear to involve the presence of various types of internal interfaces at different structural levels. The simultaneous occurrence at several scales of different types of interfaces, designated here as hierarchical interfaces, within judiciously designed layered composite materials, is a powerful approach that constrains cracks to bifurcate and stop. This is concisely described here using selected biological examples, potentially serving as inspiration for alternative designs of engineering composites.

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A micromechanics‐based approach to damage propagation criterion in viscoelastic fractured materials regarded as homogenized media

Aguiar

Maghous

2023

Num Anal Meth Geomechanics

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This paper aims to formulate a damage propagation criterion in microfractured viscoelastic materials, relying upon a micromechanics reasoning together with thermodynamics concepts. The fracture density is regarded as damage parameter at macroscopic scale. The equivalent behavior of the heterogeneous material (solid matrix + fractures) is first formulated within the framework of viscoelastic homogenization theory. In this context, relevant relationships relating local fields to macroscopic fields are derived, thus allowing a clear micromechanical interpretation of quantities involved in the upscaling process, such as the residual or viscous strains. Based on thermodynamic concepts, the energy dissipation and the free energy of the homogenized viscoelastic material are deduced at the macroscopic scale. The formulation of an energetic-based criterion for damage propagation in viscoelastic fractured materials is then achieved by viewing the macroscopic energy release rate as the thermodynamic force responsible for propagation. Due to the delayed deformation component, the formulation is time-dependent. Since it is formulated directly at the homogenized material level, the main advantage of the approach developed in this work is the rigorous determination of the energy release rate expression, without neglecting any residual term. In the last part of the paper, several numerical applications are performed to illustrate the main features of the modeling and to provide comparison with available simplified formulations. Finally, the proposed damage propagation criterion is applied to give qualitative insights on fracturing process of sedimentary layered rocks at geological times scale viewed as a long-term mechanical damage problem, emphasizing the viscosity effects in preventing fracture propagation.

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Anisotropy of the effective toughness of layered media

Cited by 35 publications

References 15 publications

Effective toughness of disordered brittle solids: A homogenization framework

Effective toughness of disordered brittle solids: A homogenization framework

Hierarchical Interfaces as Fracture Propagation Traps in Natural Layered Composites

A micromechanics‐based approach to damage propagation criterion in viscoelastic fractured materials regarded as homogenized media

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