2013
DOI: 10.1103/physrevlett.110.144301
|View full text |Cite
|
Sign up to set email alerts
|

Forbidden Directions for the Fracture of Thin Anisotropic Sheets: An Analogy with the Wulff Plot

Abstract: It is often postulated that quasistatic cracks propagate along the direction allowing fracture for the lowest load. Nevertheless, this statement is debated, in particular for anisotropic materials. We performed tearing experiments in anisotropic brittle thin sheets that validate this principle in the case of weak anisotropy. We also predict the existence of forbidden directions and facets in strongly anisotropic materials, through an analogy with the description of equilibrium shapes in crystals. However, we o… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

7
101
0
4

Year Published

2014
2014
2023
2023

Publication Types

Select...
5

Relationship

0
5

Authors

Journals

citations
Cited by 62 publications
(112 citation statements)
references
References 31 publications
7
101
0
4
Order By: Relevance
“…If these functions are smooth and recalling Equation (1), the optimality condition results in dG=d D dG c =dÂ, which can be identified as a configurational torque balance [16,17]. Recent experiments on thin anisotropic films have interrogated the MERR criterion in materials with anisotropic fracture toughness, finding results inconsistent with the global maximization of G.Â/=G c .Â/ [7]. By examining strongly anisotropic materials, these experiments established a close analogy with crystal growth and the Wulff construction for the equilibrium shape of a crystal in materials with strongly anisotropic surface energy, which exhibit forbidden orientations and faceted surfaces.…”
Section: Introductionmentioning
confidence: 76%
See 4 more Smart Citations
“…If these functions are smooth and recalling Equation (1), the optimality condition results in dG=d D dG c =dÂ, which can be identified as a configurational torque balance [16,17]. Recent experiments on thin anisotropic films have interrogated the MERR criterion in materials with anisotropic fracture toughness, finding results inconsistent with the global maximization of G.Â/=G c .Â/ [7]. By examining strongly anisotropic materials, these experiments established a close analogy with crystal growth and the Wulff construction for the equilibrium shape of a crystal in materials with strongly anisotropic surface energy, which exhibit forbidden orientations and faceted surfaces.…”
Section: Introductionmentioning
confidence: 76%
“…However, many of the interesting features of fracture in anisotropic materials, such as sawtooth crack patterns or forbidden crack directions, are directly related to the nonconvexity of strongly anisotropic surface energies [7]. Here, we start from a regularized variational theory of brittle fracture [27] and modify it by formulating a strongly anisotropic surface energy inspired by phase-field models of crystal growth.…”
Section: Introductionmentioning
confidence: 99%
See 3 more Smart Citations