| |
METAL
FRACTURE ANALYSIS
Fracture Toughness Determination (FTD)
The design process of several components used for
aerospace, automobile and electronics applications require
designers/manufacturers to pre-determine their service life. Plane
strain and plane stress fracture toughnesses (material properties)
are key parameters that help researchers/engineers analyze such
problems. Extremely expensive tests are required in order to
determine these parameters that tell us when a crack will initiate
in a component. Several LEFM theories have been developed in an
attempt to estimate these parameters without the need for expensive
tests. Among such theories is the extended Griffith theory model for
ductile metals, the details can be found elsewhere1.
Alpha Star Corporation has implemented this theory in its Metal
Fracture Analysis (MFA) software as Fracture Toughness Determination
(FTD) module after verifying the predictions with experimental
values for several different metals and their alloys.
The FTD module requires its users to enter full
engineering stress-strain curve for the material, thickness and gage
length of the tensile test specimen. In addition, the user defines a
thickness range of the sheet metal for which fracture toughness
values are desired. Once the analysis is complete in less than a
minute time, the module graphically generates the fracture toughness
variation with thickness and applied stress versus crack length
curves.
A databank is provided with the module that contains
the stress strain curves for several metals and their alloys; for
example, Aluminum 2000, 5000, 6000, 7000 series alloys, Inconel,
Titanium, Steel and many others. The stress-strain data for
materials in the databank have been obtained from MIL-HDBK 5.


Fatigue Crack Growth (FCG)
The
design process of several components used for
aerospace, automobile and electronics applications require
designers/manufacturers to pre-determine their service life. In
order to determine the remaining life of these components
designers/manufacturers rely on Fatigue Crack Growth (da/dN versus
∆K) behavior of the component. Like fracture toughness tests,
extremely expensive test set-up is required in order to determine
the crack growth behavior of the material. Theoretically, this
complete crack growth behavior is usually captured with the well
known empirical Forman, Newman and Koening (FNK) equation. Several
empirical and non-empirical parameters are required in order to
predict the complete fatigue crack growth behavior, such as C, p, q,
and n are empirical parameters, while stress ratio (R), threshold
fracture toughness, plane stress fracture toughness and plane strain
fracture toughness parameters among others. All these parameters are
determined in MFA (Metal Fracture Analysis) without the use of any
additional tests unlike NASGRO and other similar well known
software. The process is based on detailed study of several metals
and their alloys, the details can be found elsewhere1.
Alpha Star Corporation has implemented this approach in its MFA
software. A software as Fatigue Crack Growth (FCG) module after
verifying the predictions with experimental values for several
different metals and their alloys.
The FCG module requires its users to enter plane
stress and strain fracture toughness values (can be obtained from
Fracture Toughness Determination [FTD] module), thickness of the
virtual pre-cracked panel for the material parameters, while the
empirical parameters are pre-defined and remain same for a given
category of the material; for example, Aluminum 2000 series. The
user can vary the stress ratio, maximum applied stress and notice
any shifts in the generated da/dN versus ∆K curve. FCG module is
able to do so all without asking users to perform any additional
tests. The FCG analysis usually takes less than a minute and
graphically generates the da/dN versus ∆K curve for a given panel
width and thickness, stress ratio and maximum applied stress.
A databank is provided with the module that contains
the stress strain curves for several metals and their alloys; for
example, Aluminum 2000, 5000, 6000, 7000 series alloys, Inconel,
Titanium, Steel and many others. The databank contains the empirical
parameters for several categories along with additional assumed
information such as stress ratio, maximum stress and panel width.
The required plane stress and strain fracture toughness values are
also provided which are calculated using the FTD module.

Figure 1: Typical Crack Growth Rate Versus Stress
Intensity Range
1 Farahmand, B., Fatigue and Fracture
Mechanics of High Risk Parts, Chapman and Hall, 1997. |
|