Thin metal foil exhibits different mechanical failure modes than a thick metal stick due to thickness and stress distribution.
the verdict
INSUFFICIENT LEANING
refutedsupported
the weight of evidence
2 sources for · 0 against
Peer-reviewed literature notes that thin metallic foils exhibit size-dependent mechanical fracture behavior and plastic deformation properties, but the retrieved evidence only partially covers the specific comparison of failure modes between metal foils and thick sticks.
Abstract The thin foil undergoing extensive plastic deformation during the rolling process usually exhibits a significant anisotropy. In microforming, due to the downscaling effect, the influence of plastic anisotropy on ductile fracture behavior and material formability is size-dependent. To clarify the interaction of size effect and plastic anisotropy on the formability of thin foil, the tensile tests and forming limit experiments of SUS304 foils with different thicknesses and grain sizes were performed. It is found that the deformation behavior changes from polycrystalline to the single crystal as the reduction of λ, the number of grains across the thickness direction. This transformation significantly affects the fracture behavior including limit strain, ultimate stress, and fracture mechanism. Furthermore, the difference in fracture behavior among diverse deformation orientations is aggravated with the reduction of foil thickness and the increase of grain size. Due to the interaction of size effect and plastic anisotropy, the microformability of metal foils is shifted down with the reduction of λ, and the severe scatter in the forming limit curve (FLC) of 20 μm thick foil is observed. Besides, the deviation of strain path from linearity is increased with decreasing λ, which is caused by the coupled effect of the intensified anisotropy and the declined compatible deformation capability. Unlike the common V-type FLC, the microscale FLCs of the specimens with the thicknesse
attaching two thin but stiff skins to a lightweight but thick core. The core material is normally low strength material, but its higher thickness provides
A composite or composite material (also composition material) is a material which is produced from two or more constituent materials. These constituent materials have notably dissimilar chemical or physical properties and are merged to create a material with properties unlike the individual elements. Within the finished structure, the individual elements remain separate and distinct, distinguishin
A…
In most cases it can be assumed
E
c
′
=
V
f
E
f
{\displaystyle E_{c}'=V_{f}E_{f}}
since the second term is much less than the first one.
In reality, the derivative of stress with respect to strain is not always returning the modulus because of the binding interaction between the fiber and matrix. The strength of the interaction between these two phases can result in changes in the mechanical properties of the composite. The compatibility of the fiber and matrix is a measure of internal stress.
The covalently bonded high strength fibers (e.g. carbon fibers) experience mostly elastic deformation before the fracture since the plastic deformation can happen due to dislocation motion. Whereas, metallic fibers have more space to plastically deform, so their composites exhibit a third stage where both fiber and the matrix are plastically deforming. Metallic fibers have many applications to work at cryogenic temperatures that is one of the advantages of composites with metal fibers over nonmetallic. The stress in this region of the stress–strain curve can be expressed as,
wh…
Another failure mode is fiber tensile fracture, which becomes more likely when fibers are aligned with the load
A sandwich-structured composite is a special class of composite material that is fabricated by attaching two thin but stiff skins to a lightweight but thick core. The core material is normally low strength material, but its higher thickness provides the sandwich composite with high bending stiffness with overall low density.
In most cases it can be assumed
E
c
′
=
V
f
E
f
{\displaystyle E_{c}'=V_{f}E_{f}}
since the second term is much less than the first one.
In reality, the derivative of stress with respect to strain is not always returning the modulus because of the binding interaction between the fiber and matrix. The strength of the interaction between these two phases can result in changes in the mechanical properties of the composite. The compatibility of the fiber and matrix is a measure of internal stress.
The covalently bonded high strength fibers (e.g. carbon fibers) experience mostly elastic deformation before the fracture since the plastic deformation can happen due to dislocation motion. Whereas, metallic fibers have more space to plastically deform, so their composites exhibit a third stage where both fiber and the matrix are plastically deforming. Metallic fibers have many applications to work at cryogenic temperatures that is one of the advantages of composites with metal fibers over nonmetallic. The stress in this region of the stress–strain curve can be expressed as,
where
σ
{\displaystyle \sigma }
is the stress,
ϵ
{\displaystyle \epsilon }
is the strain, E is the elastic modulus, and V is the volume fraction. The subscripts c, f, and m are indicating composite, fiber, and matrix, respectively.
σ
f
(
ϵ
c
)
{\displaystyle \sigma _{f}(\epsilon _{c})}
and
σ
m
(
ϵ
c
)
{\displaystyle \sigma _{m}(\epsilon _{c})}
are for fiber and matrix flow stresses respectively. Just after the third region the composite exhibit necking. The necking strain of composite is happened to be between the necking strain of the fiber and the matrix just like other mechanical properties of the composites. The necking strain of the weak phase is delayed by the strong phase. The amount of the delay depends upon the volume fraction of the
Another failure mode is fiber tensile fracture, which becomes more likely when fibers are aligned with the loading direction, so is the possibility of fiber tensile fracture, assuming the tensile strength exceeds that of the matrix. When a fiber has some angle of misorientation θ, several fracture modes are possible. For small values of θ the stress required to initiate fracture is increased by a factor of (cos θ)−2 due to the increased cross-sectional area (A cos θ) of the fibre and reduced force (F/cos θ) experienced by the fiber, leading to a composite tensile strength of σparallel /cos2 θ where σparallel is the tensile strength of the composite with fibers aligned parallel with the applied force.
Intermediate angles of misorientation θ lead to matrix shear failure. Again the cross sectional area is modified but since shear stress is now the driving force for failure the area of the matrix parallel to the fibers is of interest, increasing by a factor of 1/sin θ. Similarly, the force parallel to this area again decreases (F/cos θ) leading to a total tensile strength of τmy /sin θ cos θ where τmy is the matrix shear strength.
Finally, for large values of θ (near π/2) transverse matrix failure is the most likely to occur, since the fibers no longer carry the majority of the load. Still, the tensile strength will be greater than for the purely perpendicular orientation, since the force perpendicular to the fibers will decrease by a factor of 1/sin θ and the area decreases by a factor of 1/sin θ producing a composite tensile strength of σperp /sin2θ where σperp is the tensile strength of the composite with fibers align perpendicular to the applied force.
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