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US 2026/0235482 A1Published application
Method for characterizing the fracture surface of a material having undergone cracking
AssigneeTortoise
InventorsPatrick RIBEIRO, Laurent PONSON
Life of this patent
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Abstract
The invention relates to a method for characterizing the fracture surface of a material having undergone cracking, comprising the steps of carrying out a topographic map of said fracture surface, and determining physical cracking characteristics (ξλ, Lc) from the field of the signs of the slopes of the cracking surface.
Claims5
A method for characterizing the fracture surface of a material having undergone cracking, comprising the steps of:
- carrying out a topographic map of said fracture surface,
- determining, for a set of points taken in the mid-plane of said fracture surface, heights of each of these points relative to this mid-plane,
- choosing a set of resolution scales(ε),
- projecting on an axis (X), for these resolution scales, normalized fields (S) of the differences in height (h) between said points,
- determining the spatial autocorrelation
- (
- C
-
- (
- δ
-
- x
- ,
- ϵ
- )
- =
- 〈
- S
-
- (
- x
- ,
- z
- ,
- ϵ
- )
- ·
- S
-
- (
- x
- +
- δ
-
- x
- ,
- z
- ,
- ϵ
- )
- 〉
- 〈
- S
-
- (
- x
- ,
- z
- ,
- ϵ
- )
- 2
- 〉
- )
- of the projected fields thus obtained,
- determining the computing intervals (δr) making it possible, for each given angle (θ), to maximize
- (
- arg
-
- max
- δ
-
- r
-
- (
- std
- ε
- (
- C
-
- (
- δ
-
- r
- ,
- ε
- ,
- θ
- )
- )
- )
- the standard deviation of the spatial autocorrelation of said fields on the set of resolution scales,
- determining the propagation angle value (θpropagation) of said crack as that,
- (
- θ
- propagation
- ≈
- arg
-
- max
- θ
-
- (
- arg
-
- max
- δ
-
- r
-
- (
- σ
- S
- (
- δ
-
- r
- ,
- θ
- )
- )
- )
- among the set of said angles (θ), making it possible to obtain the highest value of said maximized values of said standard deviation, and
- deducing from this propagation angle value θpropagation at least one quantity (ξλ, Lc) representative of physical cracking characteristics.
111 more elements
Dependencies are inferred from the claim text.