# US 12,007,367 B2 · Computer-implemented method for the probabilistic assessment of fatigue of component parts in the presence of manufacturing defects and relevant system

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- Number: US 12,007,367 B2
- Document ID: US12007367B2
- Status: Granted
- Kind: B2
- Application number: 17/416,435
- Filed: 2019-12-18
- Published: 2022-03-10
- Granted: 2024-06-11
- Earliest claimed: 2018-12-21
- Assignees: Politecnico Di Milano
- Applicants: Politecnico Di Milano
- Inventors: Stefano Beretta; Simone Romano; Stefano Miccoli
- Web page: https://patentgrep.com/patent/US12007367B2

## CPC

- G01M 5/0033: {by determining damage, crack or wear}
- G01N 3/08: by applying steady tensile or compressive forces (G01N3/28 takes precedence)
- G01N 2203/0016: Tensile or compressive
- G01N 2203/0073: Fatigue
- G01M: TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q)

## Abstract

A computer-implemented method for the probabilistic assessment of fatigue of component parts in the presence of manufacturing defects comprises the following steps: importing predefined input data concerning at least one part of a component to be assessed; distinguishing a surface region of the part from an internal region; determining the volume and stress/deformation applied to the surface region and to the internal region; assigning the distribution of defects to a group of elements defined by the user; determining the maximum dimension of the defect in each surface or internal region considered; determining the critical dimension of the defect in each surface region or internal region by considering the fatigue strength of the material at the number of cycles under consideration, the stress/deformation applied and the position of each surface or internal region; calculating the reliability of at least one of the surface or internal regions considered.

## Claims

### Claim 1

A computer-implemented method for probabilistic assessment of fatigue of component parts in a presence of manufacturing defects, comprising:
a) importing predefined input data concerning at least one part of a component to be assessed;
b) distinguishing at least one surface region of said at least one part from at least one internal region of said at least one part;
c) determining a calculated volume and stress/deformation applied to said at least one surface region and to said at least one internal region;
d) determining a distribution of defects and assigning the distribution of defects to at least one group of elements;
e) assessing or calculating a maximum dimension of a defect and determining the maximum dimension of the defect in each surface or internal region considered;
f) assessing or calculating a critical dimension of the defect and determining the critical dimension of the defect in each surface region or internal region by considering a fatigue strength of a material at a number of cycles under consideration, a stress/deformation applied and a position of each surface or internal region;
g) calculating reliability of at least one of the surface or internal regions considered; and
h) generating output data comprising the overall probability of damage to the part for the duration and the loads examined,
wherein said output data comprise:
a map of the normalized failure probability, for a qualitative and visual assessment of the more critical regions of said part;
a quantitative map of the defect critical dimension;
a quantitative map of the failure probability relating to any mesh intergration point; and
a quantitative map of the anomalous defect critical dimensions.

### Claim 2 (depends on 1)

The computer-implemented method according to claim 1, further comprising:
(h) determining the reliability of an entire component.

### Claim 3 (depends on 1)

The computer-implemented method according to claim 1, wherein said step (b) of distinguishing at least one surface region of said part from at least one internal region of said part comprises determining said surface region on the basis of a grid of finite elements and on the basis of said distribution of defects.

### Claim 4 (depends on 1)

The computer-implemented method according to claim 1, wherein said step (b) of distinguishing said at least one surface region from said at least one internal region comprises assessing said at least one surface region as a volume or wall thickness comprised in a predefined distance from an external surface of said part.

### Claim 5 (depends on 2)

The computer-implemented method according to claim 2, further comprising:
assessing presence of symmetries and removing nodes on planes of symmetry from a list of surface nodes.

### Claim 6 (depends on 1)

The computer-implemented method according to claim 1, wherein said step (e) of determining the maximum dimension of the defect in each surface region and/or internal region considered comprises an application of statistics of extreme events.

### Claim 7 (depends on 1)

The computer-implemented method according to claim 1, wherein performing said steps from c) to f) for all fatigue lives and for all loads applied under consideration.

### Claim 8 (depends on 5)

The computer-implemented method according to claim 5, wherein said step (h) of determining the reliability of the entire component is carried out by applying the Weakest-Link model, and considering the symmetries where applicable.

### Claim 9 (depends on 8)

The computer-implemented method according to claim 8, further comprising:
(i) determining a final reliability of the component, starting from said determined reliability of the component and assessing an effect of a variability of the stress applied and of the fatigue strength of the material.

### Claim 10 (depends on 1)

The computer-implemented method according to claim 1, wherein said predefined input data comprise:
load case;
finite-element static analysis data of said part;
input parameters for analysis;
parameters relating to the distribution of the defect; and
parameters relating to the strength of the material.

### Claim 11 (depends on 1)

The computer-implemented method according to claim 1, wherein said input data are at least partly stored within at least one input file.

### Claim 12 (depends on 1)

A system for the probabilistic assessment of fatigue of component parts in the presence of manufacturing defects, wherein the system comprises at least one processing unit configured to carry out the steps of the computer-implemented method according to claim 1.

### Claim 13 (depends on 1)

The computer-implemented method according to claim 1, wherein
said assigning the distribution of defects to said at least one group of elements is defined by a user.
