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Polymer Mixtures (Blends/Alloys)

Polymer Mixtures (Blends/Alloys). Of great technological importance ~30% of all ‘polymers’ sold in mixed form Binary Mixtures: -- Immiscible: multiphase, no mixing between components -- Miscible: single phase, soluble -- ‘Partially miscible’: multiphase but some mixing

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Polymer Mixtures (Blends/Alloys)

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  1. Polymer Mixtures (Blends/Alloys) • Of great technological importance ~30% of all ‘polymers’ sold in mixed form • Binary Mixtures: -- Immiscible: multiphase, no mixing between components • -- Miscible: single phase, soluble • -- ‘Partially miscible’: multiphase but some mixing • -- ‘Incompatible’: from mechanical perspective; weak, brittle • -- ‘Compatible’: multiphase, but good to excellent mechanical properties

  2. What’s So Special About Polymer Blends? • Multiphase • Economics • Enhanced mechanical properties • eg. PS/PB (5-20%) • -- Mechanical blend: no increase in impact properties (‘incompatible’) • -- PB dispersed in styrene then polymerize  PS, PB, • PS-g-PB (‘compatiblizer’ (surfactant) , few %) [HIPS] • - ‘phase within a phase within a phase’ morphology •  mechanically toughen • -- ABS similar

  3. Why Should We Care About Blends? (con’d) ‘Added’ graft or block Notched Izod PS 0.25 – 0.4 (ft-lb/in) HIPS 0.5 – 4 but E and b  as rubber  Impact strength Blend Elastomer % ~5 - 15% • Why enhancement of impact strength? •  rubber particles act as stress concentrators to initiate matrix yielding (crazing &/or shear yielding)

  4. Mechanism of Rubber Toughening in Thermoplastic Polymers • Mechanism of energy absorption: initially brittle polymers (e.g. PS, PMMA) • a. Rubber particles act to initiate very large number (~106) of crazes in glassy matrix • b. Crazes grow until they encounter another rubber particle or craze •  Energy consumed principally in plastic deformation of matrix • c. Rubber particles act as craze termination points and obstacles to craze or crack propagation

  5. HIPS TEM OsO4 staining for contrast Dark = PB PS inclusions in ‘rubber’ particles Wagner and Robeson (1970)

  6.  direction HIPS (con’d) • Crazing in thin HIPS film Rubber particle: PS inclusions What are crazes?

  7.  direction ABS: Acrylonitrile - Styrene - Butadiene TEM Synthesis? Dispersed phase particle size ~0.1 - 0.5 m

  8. Rubber Toughening (con’d) •  Important features required to produce good impact properties: • a. elastomer must phase separate and be dispersed randomly as small discrete particles • b. elastomer must have low Tg (Tg << Ttest) • c. good interfacial adhesion ('compatibilizers') • d. low shear modulus in relation to matrix • What toughening mechanism often operates to toughen ‘quasi-ductile’ polymers (e.g. that lead to ‘super tough’ nylons or polyacetals)?

  9. Why Should We Care AboutMiscible Blends? • Miscible mixtures: • - No interfaces to contend with • - Cost/property combination (e.g. Noryl [PPO/PS]) • - Macromolecular plasticizer or other additive (non-migrating) • - In some cases, modest ‘synergism’ in some mechanical properties • - Model systems for fundamental studies

  10. Phase Diagrams Phase Behavior  f (T, P, Vi) Upper Critical Soln Temp. (UCST) - binodal (coexistence curve) boundary between stable & unstable - spinodal: boundary between metastable & unstable Critical point -- Quench into 2 phase region  compositions along binodal define composition of phases (lever rule)

  11. Phase Diagrams (con’d) • Lower Critical Soln Temp. (LCST) • -- Binodal • -- Spinodal • Difference between metastable & unstable regions? • -- mechanism of phase decomposition (spinodal decomposition vs. nucleation and growth)

  12. Phase Diagrams (con’d) ‘Hourglass’- merging of LCST & UCST Both LCST & UCST Closed loop behavior

  13. Gmix (= Hmix – T Smix) as f(T,P,V1) • Theory of polymer solutions: • Flory-Huggins (polymer + solvent)  lattice model; emphasis on calculation of Sm • Extension to polymer-polymer mixtures [Scott, (1949)] • Improved theories (e.g. eqn of state theories [Flory (1970)]; inclusion of strong intermolecular interactions: lattice fluid; group contributions, etc) Understanding Miscibility andPhase Behavior

  14. Simplified Theory of Polymer Solutions* 1. Polymer/solvent  UCST & LCST 2. Polymer/polymer  a) dispersive forces (Hm > 0)  single phase only if MW < few 1000 (UCST) b) strong interactions (Hm < 0)  miscible at high MW (LCST) 3. Two miscible polymers + solvent (possible to get phase separation in ternary mix even if all 3 binaries are miscible, if large difference in affinities of polymers for solvent (“effect”) 4. Two strongly interacting polymers (miscible) + solvent (possible to get phase separation in ternary mixture if polymer - polymer interactions become very large) *Patterson & Robard, Macromolecules (1978); Patterson, PES (1982)

  15. Sm (S-S) > Sm (S-P) > Sm (P-P) Important Contributions to Gmix • Combinatorial Smix;intermolecular interactions (contact energy); ‘free volume’ effects • 1. Combinatorial Smix Sm  related to # of permutations of molecules of liquid among sites on soln) ‘quasi-lattice’, i.e., positional disorder Sm =k ln  always + entropic stabilization

  16. Regular Solution Theory for Small Molecules -Sm/R = N1 lnX1 + N2 lnX2 Not appropriate for polymers:  Equivalent to assuming solvent & entire polymer occupy 1 lattice site Rather, define: Vsolv = Ns Vs / (Ns Vs + MNpVs) Polymer defined = chain of segments which have same vol as solvent M = vol. occupied by poly vol. occupied by solvent M = not necessarily = DP Mole fraction Vol. fraction (s) # segments in poly # molecules or moles

  17. Entropic stabilization: P - P  0, in the limit of  MW for both Entropic stabilization: P - S (V2 0) Soln more stable at high [P]?? Entropic stabilization: S - S composition Flory – Huggins Sm/R = -[N1 lnV1 + N2 lnV2] Mix N1 moles of #1 with N2 moles #2: On per volume of soln basis (V): Assume V1 = V2 = 1/2, & for solvent/solvent V1 ~ V2 ~ 100 cc/mol:  Molar volumes

  18. + Gm 0  > Free Energy and Phase Separation Mixture can develop lower Gm by separating into 2 phases V2 At a given T and P • Phase separation occurs if Gm becomes concave downward i.e., if • Thermodynamic criteria for miscibility: • Gmand

  19. Related to weakness or strength of 1-2 contacts relative to 1-1 & 2-2 • Flory: • Hm/RTV = (z W12  kTVs) V1V2 = (12 V1) V1V2 • characterizes the interaction energy lattice coordination number Exchange energy for breaking 1/1& 2/2 contacts & forming 1/2 2. Interactional Contribution = 1/2(W11 +W22) -W12 Vs = molar vol of segment (of S in P/S) Interaction parameter # segments in 1 (= S in P/S) Dispersive 1-2 contacts  + Hm Strong Interactions  - Hm important in poly/poly mixing

  20. combinatorialinteractional for polymer/polymer (r1 )  12  ! Important quality  12 / r1 or12 / V1  independent of MW Total Free Energy of Mixing Gm/RTV = [V1 lnV1 V1 + V2 lnV2 V2] +(12 V1) V1V2 Another common form: Gm/RT = [V1 lnV1 M1 + V2 lnV2 M2] + 12 V1V2 “DP” Defined as per segment - normally used in the literature Gm per mole of lattice sites

  21. Typical Polymer Solution (in LMW solvent) (12 V1) V1V2 for 12 > 0 Total Gm for polymer/solvent Total Gm for polymer/polymer with dispersive forces Concave downward throughout entire composition range (phase separate into pure 1&2)

  22. 12 V1 + 0  Temperature Dependence of 12 12 ~ T-1 For dispersive forces 12 r1 = z W12  kT For strong interactions For a given composition Temperature 

  23. Arises as a consequence of –Vmix & related to difference in coefficient of thermal expansion of components •  Negative contribution to Hm and Smpositive contribution to Gm (destabilizing) •  It’s the non-combinational Sm that derives phase separation at high T in polymer-polymer (LCST has hence been termed an entropy driven process) •  Free volume effects get collected in 12 along with interactions •  As T , Vfree difference between solvent & polymer (or 2 polymers) increases, as does the positive contribution to 12 3. Free Volume Contribution Vmix  0 Soln has free vol closer to polymer

  24. If 12 independent of concentration: •  (12 V1)crit = 1/2 [V1-0.5 + V2-0.5]2 • Both low MW; from regular soln theory of small molecule mixs:    Critical Points  Also equivalent expression where molar volumes replaced with M’s i.e., 12> 2  phase separated

  25. Polymer/solvent • V2  (i.e., MW )  (12 V1)crit  • Polymer/polymer  V1 &V2  0; (12 V1)crit  0 3. Critical Points (con’d)

  26. Phase Behavior critdecreases as MW increases 0 c = a + b (dispersive forces)  LCST and UCST d = a + b (strong interactions dominate) For given composition

  27. Interplay of combinational Sm, interactions, and Vfree contributions, as function of T and composition, determine whether system will be single or multiphase + allows qualitative description of phase behavior of polymer mixtures (P-S and P-P) For high MW P-P mixtures, simple theory suggests that strong interactions required to obtain single phase state at given T (and these mixtures will phase separate on increasing T) Initial Summary

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