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Mechanical Properties of Composites

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1 Mechanical Properties of Composites
Professor Joe Greene CSU, CHICO Copyright Joseph Greene 2001

2 Mechanical Properties
Comparison with Other Materials Environmental Effects Test Considerations Copyright Joseph Greene 2001

3 Copyright Joseph Greene 2001
Objectives Recognize some of the basic differences in mechanical, physical, and thermal properties of composite materials that distinguish them from metals; Understand the various design techniques and advantages of using composites to obtain high performance and highly efficient structures; Describe the effects of t he specific use environment on the behavior of composite materials for a range of operational conditions; Discuss various test methods and approaches in evaluating and characterizing the mechanical properties of composites for design and analysis needs. Copyright Joseph Greene 2001

4 Comparison with Other Materials
Metals and metallic structures have been used for over 100 years in engineering and are well understood materials with a large database of design data and experience. Plastics have been used for the last 50 years and have extensive database of properties and manufacturing information. Composites technology is much more recent (25 years) with a database and analysis that are just emerging. Aerospace industry Relies heavily on aluminum and titanium alloys Automotive industry Relies heavily on steel and aluminum Al and titanium limitations Exposure to salt water and harsh environments causes corrosion Heavier than when compared to polymers, foam, and composites Low strain-to failure modes can cause permature failure Copyright Joseph Greene 2001

5 Copyright Joseph Greene 2001
Historical 1940s and 1950s, aerospace industry looked at high performance composites as replacement for steel . Early materials were glass fiber and polyester resin. Limited to non-structural applications. Resin and fibers developed and material systems matured. During the 1960s new fiber systems were developed for structural components High strength glass fibers (S-901), Aramid (Kevlar 49), carbon and graphite systems Composite advantages High strength to weight and stiffness to weight due to low density Manufacturing ease and environmental resistance Low cost and design versatility: fiber placement for strength and stiffness selectivity. Copyright Joseph Greene 2001

6 Mechanical Properties
Traditional materials have homogeneous properties. The strength and modulus are the same no matter where the sample is taken from. Ferrous (steel, iron) and non ferrous materials, (Al,Cu,Pb) If pieces were cut from different locations in a metal plate, the pieces would have the same: Density, internal structure, tensile strength, modulus, elongation, impact, etc.. If pieces were cut in one direction and then another one 90° from it, the tensile strength, tensile modulus, impact and other properties would be the same. Composite materials are made up of two or more distinct materials, one for reinforcing and the other for holding the fibers together in a matrix. Composite materials have non-homogeneous properties and are called inhomogeneous materials with anisotropic properties. Fibers are stronger in one direction than the other one due to aspect ratio. The properties of the area around the resin is much lower than the properties around the fiber. Copyright Joseph Greene 2001

7 Mechanical Properties
Common anisotropic materials Plywood, reinforced concrete due to steel rebar. Composites are often fabricated with stronger properties in one direction versus the other one, or have properties stronger in a particular region. Fibers are placed with woven roving or fabric with fibers in the 0° /90° direction, or fibers in the 40° /60° direction. Filament winding and lay-up composite sheet can result in a composite with uni-directional properties. Samples of the composite are often taken in the 0° direction and reported as maximum values. The tensile strengths and modulus are divided by the density of the composite to give the specific strength and specific modulus Figure 4-1 provides properties for unidirectional composites Figure 4-2 provides properties for quasi-isotropic composites Copyright Joseph Greene 2001

8 Properties of Isotropic Materials
Tensile modulus Density Spec Mod Low alloy steel 207GPa(30Mpsi) 7.85 g/cc 26spGPa Aluminum 72GPa (10Mpsi) 2.8 g/cc 26spGPa Tensile strength Density Spec Str Low alloy steel 1500MPa(220Kpsi) 7.85 g/cc 191spMPa Aluminum 500MPa(75Kpsi) 2.8 g/cc 178spGPa Thermoset resins and plastics are isotropic (properties are the same in all 3 directions) due to homogeneous material. Copyright Joseph Greene 2001

9 Properties of Anisotropic Materials
Composites are anisotropic due to directional nature of fiber which is stronger in the axial (length) direction than in the transverse (thickness) direction Copyright Joseph Greene 2001

10 Mechanical Properties of Composites
Polymer composites are made up of a resin and a fiber renforcement. Both contribute to the strength and stiffness of the composite The higher the fiber % the higher the properties The more unidirectional the fiber, the higher the properties are in that direction and the weaker they are in the transverse direction. Filament winding and prepreg tape have very high directional properties Directional effects are minimized by having alternating fiber angles Example, 0°/90° ply with +/-45° fiber ply. Fiber bonding to matrix is key to high strength properties. Copyright Joseph Greene 2001

11 Composites Have a Fiber Plus Matrix
Resin type Influences strength and thermal properties. Resin must flow through fiber mat, then into fiber bundle to wet fiber. Fiber type Roving form that is woven into a glass sheet and then formed to shape (preform) Copyright Joseph Greene 2001

12 Composites Have Directional Properties
Fiber type Different fibers have different strength, modulus, and strain at failure Figure 4-3 Generally, the stiffer the fiber, the smaller the strain at failure. Kevlar-Epoxy unidirectional properties- Table 4.3 Fiber % The higher the fiber %, the higher the properties Fiber % for automotive is 35% by volume Fiber % for aerospace is 60% by volume Fiber orientation The more unidirectional the fiber the stronger the properties are. Properties of unidirectional glass-Epoxy Composites- Table 4.6 Properties of Unidirectional Materials- Table 4.7 Properties of Pan and Pitch Carbon Fibers- Table 4.9 Copyright Joseph Greene 2001

13 Composites Have Directional Properties
Fiber Orientation Carbon fiber is Amoco high modulus pitch based fiber Unidirectional laminate with 60% fiber and epoxy resin tested along the fibers (0°) and across the fibers (90°) Isotropic laminate has 0°, 30°, 60°, 90°, 120°, 150° stacking sequence Table 4.10: Effect of orientation on carbon fiber properties Unidirectional had double the strength and triple the modulus as a quasi-isotropic material Unidirectional material had 10% of the strength and 3% of the modulus in the transverse direction as the quasi-isotropic laminate Table 4.11: Mechanical Properties of Carbon-Fiber Composites with Epoxy and PEEK Epoxy resin had 25% higher tensile strength and 60% higher tensile modulus than the peek composite in the 0° direction Peek resin had 40% higher strength and 330% higher Fracture strain in the 45° direction than epoxy. Copyright Joseph Greene 2001

14 Composites Have Directional Properties
Fiber Type Table Tensile Properties of different types of carbon fiber T200, T50, T650, T1000, P55, P100 types of carbon fiber Table Unidirectional Composite Properties ATB and ATS are acetylene terminated epoxy resins XAS and Celion are PAN based carbon fibers Narmco and are BMI matrix resins, Bismaleimide Table Unidirectional Fiber and Thermoplastic Composites PEEK, APC, and PEKK are different grades of aromatic ketones Table Mechanical Properties of Hybrid Yarn Table Unidirectional, comingled, and cowoven fabric Table Mechanical Properties of Composites Copyright Joseph Greene 2001

15 Mechanical Properties Pitch versus PAN
Carbon Fiber Properties for 62% volume carbon fiber PITCH fiber has higher density PAN Fiber intermediate modulus has tensile strength and shear strength but a lower tensile modulus and lower thermal conductivity than PITCH intermediate modulus fiber. PITCH High modulus fiber has higher tensile modulus and higher thermal conductivity but lower tensile strength and compressive strength than PAN Intermediate fiber. Copyright Joseph Greene 2001

16 Directional Properties Carbon Fiber
Different types of carbon fiber composites Epoxy resin with 60% volume carbon fiber, PITCH or PAN Results High strength PAN fibers have lower modulus that high modulus PAN High strength PITCH fibers have lower modulus that high modulus PITCH Copyright Joseph Greene 2001

17 Directional Properties Carbon Fiber PEKK Laminates
Fiber Volume Fraction is 60% Aerospace Quality Continuous fiber has higher strength and modulus for tensile, compression, and shear in the 0° than long fiber composite. Long Fiber PEKK composites has higher Tensile strength and modulus and Poisson ratio in the 90° direction than continuous fiber. Copyright Joseph Greene 2001

18 Directional Properties Carbon Fiber
Unidirectional (0°/ 90°) versus Quasi-isotropic laminate (0°/30°/60°/90°/120°/150°) Fiber Volume Fraction is 60% Aerospace Quality Polymer is Epoxy and Carbon Fiber is PITCH High Modulus fiber Results Uni-directional laminate is 40 times stronger and 92 times stiffer in the 0° direction versus the transverse 90° direction in tensile. The quasi isotropic laminate is stronger and stiffer in tension in the 0° direction than the 90° direction. The opposite is true for compression Copyright Joseph Greene 2001

19 Directional Properties Carbon Fiber
Unidirectional (0°) versus Quasi-isotropic laminate (45°) Results Uni-directional laminate is stronger and stiffer in the 0° direction versus the transverse 45° direction in tensile for Epoxy and PEEK The quasi isotropic laminate is has higher fracture strain% in the 45° direction than the 0° direction for epoxy and for PEEK. Copyright Joseph Greene 2001

20 Directional Properties Thermoplastic Composites
Unidirectional Composite Properties with thermoplastic matrix Results PEEK APC2 and AS-4 Carbon fiber had the highest tensile strength Kevlar 49 had high strength but the lower tensile modulus than carbon Copyright Joseph Greene 2001

21 Directional Properties Carbon Fiber Composites
Unidirectional Composite Properties from Hybrid Yarn Results PEEK with AS-4 Carbon fiber had higher flex modulus and about the same flexural strength as PEEK with S2 glass and PEEK with Astroquartz Elongation was less than 1% for all composites and especially low for S2 glass Copyright Joseph Greene 2001

22 Directional Properties Carbon Fiber Composites
Unidirectional Composite Properties from Comingled Fabric Comingled fabric is where the fiber and polymer are interspersed at filament level Results Comingled composites have comparable properties as prepreg tape with PEEK and AS4 carbon fiber for equal vol% fiber Copyright Joseph Greene 2001

23 Properties of Carbon, glass, kevlar Fiber Composites
Epoxy resin and polyester resin Results UD Carbon fiber has the highest strength and modulus in the 0° direction than glass fiber or kevlar composites. Woven fabrics give more isotropic properties The higher the fiber percentages the higher the strength and modulus. Copyright Joseph Greene 2001

24 Copyright Joseph Greene 2001
Rule of Mixtures Mechanical properties of a composite material made from two materials can be estimated based upon the volume fraction of each material times the material property of each. Modulus, strength, CLTE, shrinkage, density, and others formula: Ec = Ef*Vf + EmVm = Ef*Vf + Em(1-Vf), where E is Tensile modulus, f is fiber, m is matrix, and c is composite Example, Copyright Joseph Greene 2001

25 Copyright Joseph Greene 2001
Rule of Mixtures Example, Density Epoxy and Glass, formula: c = f*Vf + mVm = f*f + m(1-Vf), where  is density, f is fiber, m is matrix, and c is composite Copyright Joseph Greene 2001

26 Copyright Joseph Greene 2001
Rule of Mixtures Example, Epoxy and Glass Formula: Ec = Ef*Vf + EmVm = Ef*Vf + Em(1-Vf), where E is Tensile modulus, f is fiber, m is matrix, and c is composite Formula: TSc = TSf*Vf + TSmVm = TSf*Vf + TSm(1-Vf), where TS is Tensile strength, f is fiber, m is matrix, and c is composite Copyright Joseph Greene 2001

27 Copyright Joseph Greene 2001
Rule of Mixtures Comparison with published data Example, Polyester with 33% glass fibers 0/90 Ply Experimental Tensile strength = 360 MPa Tensile modulus = 17 GPa Rule Mixture (Theoretical) Tensile strength = 395 MPa Tensile modulus = 26 GPa % Experimental with Theoretical Tensile strength = % Tensile modulus = % Copyright Joseph Greene 2001

28 Copyright Joseph Greene 2001
Rule of Mixtures Comparison with published data Example, Epoxy with 60% carbon fibers 0/90 Ply Experimental Tensile strength = 2040 MPa Tensile modulus = 134 GPa Rule Mixture (Theoretical) Tensile strength = 2283 MPa Tensile modulus = 197 GPa % Experimental with Theoretical Tensile strength = % Tensile modulus = % Copyright Joseph Greene 2001

29 Composites Properties with Exposure
Exposure type Copyright Joseph Greene 2001

30 Copyright Joseph Greene 2001
Polyimides Bismaleimide (BMI) resins Advantages Low processing temperature versus polyimides (Cured at 350F) Standard epoxy processing equipment can be used since same T. Postcure of 475 F is required to complete polymerization. BMI are fully formed polyimides when reacted to form composite Thus, no volatiles are removed and no consolidation problems Tack and drape are quite good because of the liquid component of the reactants Copyright Joseph Greene 2001

31 Copyright Joseph Greene 2001
Test Considerations Metal systems isotropic, linear, and elastic such that only a few tests are required to obtain basic tensile stiffness properties that describe the mechanical performance in most situations Only two values are needed: Tensile modulus (stiffness) and poisson’s ratio (longitudinal strain divided by axial strain) Both are determined from the same tensile test Shear modulus (G) is related to shear strain () by Shear Stress :  = G() or Shear Stress = Shear Modulus times strain Copyright Joseph Greene 2001

32 Mechanical Test Considerations
Principle factors are in three main areas manner in which the load is applied condition of material specimen at time of test surrounding conditions (environment) during testing Tests classification- load application kind of stress induced. Single load or Multiple loads rate at which stress is developed: static versus dynamic number of cycles of load application: single versus fatigue Primary types of loading shear compression tension torsion flexure Copyright Joseph Greene 2001

33 Copyright Joseph Greene 2001
Stiffness Stiffness is a measure of the materials ability to resist deformation under load as measured in stress. Stiffness is measures as the slope of the stress-strain curve Hookean solid: (like a spring) linear slope steel aluminum iron copper All solids (Hookean and viscoelastic) metals plastics composites ceramics Copyright Joseph Greene 2001

34 Copyright Joseph Greene 2001
Strain Permanent set is a change in form of a specimen once the stress ends. Axial strain is the strain that occurs in the same direction as the applied stress. Lateral strain is the strain that occurs perpendicular to the direction of the applied stress. Poisson’s ratio is ratio of lateral strain to axial strain. Poisson’s ratio = lateral strain axial strain Example Calculate the Poisson’s ratio of a material with lateral strain of and an axial strain of 0.006 Poisson’s ratio = 0.002/0.006 = 0.333 Lateral Strain Axial Strain Note: For most materials, Poisson’s ratio is between 0.25 and 0.5 Copyright Joseph Greene 2001

35 Copyright Joseph Greene 2001
Test Considerations Degree of anisotropy Degree of anisotropy depends on how symmetrical the material is. Metals are isotropic materials that have an infinite number of symmetry planes (properties are the same in different directions or planes) and end up as noted above with two material properties (E and ) Opposite extreme are materials with no symmetry planes and would require 21 material properties and require extensive testing inorder to design a structure with the best finite element computer programs (NASTRAN) Most composites used today are developed in two-dimensional form and consequently have one plane of symmetry. Called transversely isotropic for unidirectional materials Stress-strain relationships requires 5 material properties Modulus in 2 directions, E11 and E22 Shear Modulus in 2 directions, E12, E21 Poisson’s ratio,  Copyright Joseph Greene 2001

36 Copyright Joseph Greene 2001
Test Considerations Transversely isotropic stress-strain relationships Stress = modulus times strain Tensile stress = tensile modulus times tensile strain Shear stress = shear modulus times shear strain Shear modulus = tensile modulus divided by 2(1+poisson’s ratio) All combinations Simplify with Symmetry Simplify with ignoring thickness. Make 2D E11 is the modulus obtained from simple tensile tests on a unidirectional composite in the direction of the fiber orientation. Poisson’s ratio ,12 is obtained by measuring the lateral contraction strain and the axial elongational strain E22 is the tensile in the transverse direction to E11 and is found by cutting a test coupon so that it can be pulled in the transverse direction. 21 is also found which is muss less than 12. The third direction Poisson’s ratio, 23 , is usually ignored by assuming 2-D G12, the shear modulus, is measured using a simple hoop-wound tubes or +/- 10° to +-15° tensile coupons. Shear strains are measured then the modulus is calculated. Copyright Joseph Greene 2001

37 Copyright Joseph Greene 2001
Test Considerations Estimating properties with micromechanics Some basic properties can be estimated using what is called structure-property relationships or micromechanics. Assumptions Composite ply is macroscopically homogeneous and linearly elastic Fibers are linearly elastic and homogeneous Matrix is linearly elastic and homogeneous Both fiber and matrix are free of voids Interface is completely bonded, and there is no transitional region between the matrix and reinforcement Mechanical properties of individual constituents re the same whether they are made by themselves or made up within the composite The values of E11 (longitudal modulus), 12 (principal Poisson’s ratio), and 11 (principal expansion coefficient), can be expressed in terms of the matrix/fiber properties themselves and the volume fraction of the respective ingredients. These expressions are derived from the Rule of Mixtures theory as: Tensile modulus: E11 = Vf Ef + Vm Em Poisson’s ratio : 12 = Vf  f + Vm  m Expansion coefficient  11 = Vf  f + Vm  m Density: 11 = Vf f + Vm m where, f is the fiber, m is the matrix, V is the volume fraction of fiber (Vf) or matrix (Vm) and same subscripts work for the others properties as well. Copyright Joseph Greene 2001

38 Copyright Joseph Greene 2001
Fatigue Properties Fatigue High performance composites were developed for aerospace applications because Al has poor fatigue performance. Aircraft applications can have 106 to 108 load cycle range. Al and some steels falter in this range Al has 10% fatigue endurance limit versus static values Aluminum will only be able to support 10% of the static load before the fatigue test. Composites have 60% the static (one cycle) ultimate strength Fiber reinforced composites are more stable and forgiving in fatigue applications and do well in fatigue tests since a loss of a few failed fibers is not noticeable to the overall strength of the fiber composite Figure 4-4. Axial compressive fatigue of graphite/epoxy laminate Composites tend to stabilize early in fatigue loading through the following mechanisms, each of which absorbs energy or redirects the energy to other parts of the composite Matrix micro-cracking which absorbs energy by breaking matrix bonds Blunting of cracks at the fiber surface which reduces further crack growth Delamination between layers which may relieve internal cure stresses Stress redistribution and load sharing in composite structure Energy dissipation resulting through matrix viscoelastic effects (internal damping) Copyright Joseph Greene 2001

39 Vibration and Damping Properties
Vibrations are often a natural consequence of stiffness For composites, the fiber stiffness is balanced with the matrix resin plasticity Composites provide excellent properties for aircraft and missile control surfaces where fast, rigid response is needed. Composites are less noisy and provide lower vibration transmission than metals. Damping in composites is due to microcracking, internal tip blunting, matrix viscoelastic effects and plasticity. Damping capability of composites can be almost twice that of some steels, and ten times better than aluminum and titanium alloys. Figure 4-5. Specific damping capacity versus stress Copyright Joseph Greene 2001

40 Design Approach Comparison
Metal structures provide a well-established database from 100 years of structural use that include exposure to a wide range of environmental and operational conditions. Material choice for metallic structures Define operational loads and environments Select several candidate metal materials to meet service environment Conduct trade studies using the basic design properties. For metals the following mechanical properties are needed: Tensile modulus (E), Poisson’s ratio, and thermal expansion (CLTE) Compare the material allowables and select the appropriate metal candidates to satisfy structural, cost, and manufacturing considerations Copyright Joseph Greene 2001

41 Design Approach Comparison
Composites widen the options for designers who can now tailor the composite to meet structural requirements through a variety of combinations of fibers and matrices and percentages of each. Selection of specific fiber (or several) to meet stiffness and strength requirements Orientation of the fiber into the load direction to take the majority of the loads Selection of resin-to-fiber volume ratio for optimizing fiber delivery Structural analysis with finite elements is needed to asses structural integrity Along with the required material properties, Two stiffness values in two directions (E and ) and two thermal expansion coefficients. More values might be needed if the composite is very anisotropic. Fewer are required if more isotropic. Copyright Joseph Greene 2001

42 Environmental Effects
Composites are affected by thermal, moisture, fatigue, creep, and aging (service life) For metals Environment attacks homogeneous material and not at interfaces, layers, and porous regions For composites Environment attacks inhomogeneous material at interfaces, layers, and porous regions Temperature Often the most severe environmental effect Affects the entire service life of the composite Initially part is cured in molding operation and then post cured Max use temperature is usually the highest temperature the composite is exposed to during molding or post cure If molded at 250F and not post cured, then the highest use temperature is 250F If molded at 250F and then post cured at 350F, then the use temp is 350F If molded at 600F (PEEK or Polyimids) then the use temp is 600F. Cure process generates some undesirable effects, e.g., creation of residual cure stresses that can lead to porosity, microcracking, and delamination. To reduce these effects, reduce the cure temperature, reduce ramp temperature during heating and cool-down processing cycles. Especially, important with compression fatigue loading in addition to inherent thermal stresses Copyright Joseph Greene 2001

43 Environmental Effects
Temperature (continued) Thermal cycling Solar radiation, daily temperature variations due to transportation, weather conditions due to seasons and geography Normal operational limits for static or isothermal exposure Rocket motor cases- -65°F to 165°F range for operational and storage conditions Automotive body panels (doors, hoods, etc.)- -40F to 140F Automotive engine parts (valve covers, hood inners)- -40F to 300F Extended limits for Cryogenic tanks or operations in high temperature (engine blades), moderate temperature (aircraft parts) and low temperature (space structures) Very often these exposures are for short duration (few seconds to a few hundred hours). If longer the exterior is usually protected with insulating material. Aeroheating for nose cone (reentry) and rocket motor applications Requires careful analysis of thermal stresses and review of allowable elevated temperature mechanical properties The mechanical properties are tested at service temperatures for Modulus, strength, impact, etc. Figure 4-6- Effect of thermal post cure on fracture toughness of graphite/epoxy Copyright Joseph Greene 2001

44 Environmental Effects
Moisture Composites absorb moisture through the matrix, the fiber, the fiber-matrix interface, and porous regions or area where microcracking or delamination have occurred Table 4-1 illustrates the degree to which polymer absorbs moisture Sample is submerged in water at a particular temperature and the amount of water absorbed is measured for several days and weeks until saturation. Moisture degrades the mechanical properties of polymer materials. Rule of thumb is to have a maximum of 3% moisture for a polymer material Materials that absorb more then that should NOT be selected for applications that are exposed to a wet environment (contact with water for long periods of time), but can be used in applications with short exposure to moisture. Fibers do not absorb water (except for aramid Kevlar 49 fiber) Resins absorb moisture for the composite and results in Lower strengths, modulus, and microcracking Properties of composite materials are tested in the wet condition if product will be used in a wet environment, e.g., submersible crafts Moisture barriers can be used, e.g., coatings, paints, vapor deposited metallic layers, aluminum foil layers, grease seals, plastic film. Copyright Joseph Greene 2001

45 Environmental Effects
Fatigue Composites perform well under fatigue loadings when compared to metals, maintaining 60% of their ultimate tensile strength. Tension fatigue and stress rupture under tension loading have not had a substantial effect on composite strength degradation. Primary fatigue difficulty has been in compression fatigue. Fibers are normally designed to carry tension loads Compression loading puts more dependence on the resin to transfer shear and compression loads to adjacent fibers and from layer to layer than does tensile loading. Primary concern for aircraft industry has always been with compression fatigue under hot-wet conditions (90-100% relative humidity and 180°F temperatures) Figure 4-4 Copyright Joseph Greene 2001

46 Environmental Effects
Creep/Delamination Behavior Fiber behaves in a rigid manner Resin is prone to creep or relax under load, especially at higher temperatures or long durations For metals, creep isn’t important unless at temperatures above 400F For polymer matrix composites, creep can be an issue at temperatures above 100F (for thermoplastics) and 200F (urethanes) and 300F (epoxies) Creep is a result of the viscoelastic nature of polymers, but can be offset by Fiber orientation in the direction of high loads to reduce creep loading Increased fiber content Select stiffer fibers Reduction of level of stress in the design Utilization of initial loading cycles to relieve residual stresses Copyright Joseph Greene 2001

47 Environmental Effects
Aging/Service life considerations Typical composite structures are designed to survive 10 to 25 years Following steps help in design Define service environment in terms of exposure time Review database of materials for a match Conduct accelerated aging test Verify aging tests with real time aging on samples stored near operational conditions Figure 4-7- Pressure vessel with series of burst tests after exposure to environmental conditions Copyright Joseph Greene 2001


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