Cross-linked composition and method of forming the same

1. A cross-linked composition comprising the reaction product of:

a first siloxane having at least one pendant anhydride group;

a second siloxane having at least one pendant anhydride group; and

a reactant comprising a polyol having at least two carbon-bonded hydroxyl groups reactive with the pendant anhydride groups of said first and second siloxanes.

2. The cross-linked composition as set forth in claim 1 , wherein said polyol is selected from the group of:

i) an organic polyol having at least two carbon-bonded hydroxyl groups reactive with the pendant anhydride groups of said first and second siloxanes;

ii) a third siloxane having at least two carbon-bonded hydroxyl groups reactive with the pendant anhydride groups of said first and second siloxanes;

iii) combinations thereof.

3. The cross-linked composition as set forth in claim 2 , wherein said polyol is said organic polyol and wherein:

i) said organic polyol has two terminal carbon-bonded hydroxyl groups;

ii) said organic polyol is free of silicon; or

iii) both i) and ii).

4. The cross-linked composition as set forth in claim 2 , wherein said polyol is said third siloxane and said third siloxane has two terminal carbon-bonded hydroxyl groups.

5. The cross-linked composition as set forth in claim 1 , wherein each of said first and second siloxanes comprise at least one [SiR 1 R 2 —O—] unit, R 1 is an independently selected substituted or unsubstituted hydrocarbyl group, R 2 is a pendant anhydride group of the following general formula (A):

and R 3 is a divalent group.

6. The cross-linked composition as set forth in claim 5 , wherein each of said first and second siloxanes is individually of the following general formula (B):

R 5 3 Si—O—[SiR 1 R 4 —O—] w [SiR 1 R 2 —O—] x [SiR 1 R 4 —O—] y SiR 5 3   (B);

each of R 1 and R 2 are as defined above, alternatively each R 1 is an independently selected alkyl group; R 3 is a hydrocarbylene, heterohydrocarbylene, or organoheterylene group, alternatively R 3 is (CH 2 ) n where n is an integer selected from 1 to 30; R 4 is a substituted or unsubstituted hydrocarbyl group, alternatively R 4 is an independently selected alkyl group, aryl group, or polyether group; each R 5 is an independently selected substituted or unsubstituted hydrocarbyl group, alternatively each R 5 is R 1 ; w is an integer selected from 0 to 1,000, alternatively 1 to 300; x is an integer selected from 1 to 100, alternatively 1 to 75; and y is an integer selected from 0 to 1,000, alternatively 1 to 300; with the proviso that w and y are not simultaneously 0.

7. The cross-linked composition as set forth in claim 6 , wherein each of said first and second siloxanes is individually of the following general formula (B1):

(CH 3 ) 3 Si—O—[Si(CH 3 ) 2 —O—] w [Si(CH 3 )R 2 —O—] x [Si(CH 3 )R 4 —O—] y Si(CH 3 ) 3   (B1);

R 3 of R 2 is (CH 2 ) n where n is an integer selected from 1 to 15, alternatively 3; R 4 is an independently selected alkyl group having from 2 to 20 carbon atoms; w is an integer selected from 50 to 200, alternatively 75 to 125; x is an integer selected from 1 to 50, alternatively 1 to 5; and y is an integer selected from 1 to 200, alternatively 1 to 5.

8. The cross-linked composition as set forth in claim 1 , wherein said polyol has the following general formula: HO—R 7 —OH; where R 7 comprises at least one of a hydrocarbylene, a heterohydrocarbylene, or an organoheterylene group, alternatively is a hydrocarbylene group having from 1 to 40 carbon atoms, alternatively 1 to 10 carbon atoms.

9. The cross-linked composition as set forth in claim 2 , wherein said reaction product is further derived from a polyamine having at least two amine groups reactive with the pendant anhydride groups, and/or derivatives thereof, of said first and second siloxanes.

10. The cross-linked composition as set forth in claim 2 , wherein said polyol comprises said third siloxane and said third siloxane is a polysiloxane of the following general formula:

HO—[Z] d —[SiR 8 R 10 —O—] a [SiR 8 R 9 —O—] b [SiR 8 R 10 —O—] c Si—[Z] d —OH

wherein each of R 8 , R 9 , and R 10 is an independently selected substituted or unsubstituted hydrocarbyl group; each Z independently comprises at least one of a hydrocarbylene, heterohydrocarbylene, or organoheterylene group, alternatively each Z is a hydrocarbylene group having from 1 to 20 carbon atoms; a is an integer selected from 0 to 1,000; b is an integer selected from 1 to 200; c is an integer selected from 0 to 1,000, alternatively 0 to 400; and each d is 1.

11. The cross-linked composition as set forth in claim 3 , wherein:

i) said organic polyol has two terminal carbon-bonded hydroxyl groups; and

ii) said organic polyol is free of silicon.

12. The cross-linked composition as set forth in claim 1 , wherein said polyol is a polyether diol.

13. A cross-linked composition of the following general formula (I):

wherein X is of the following general formula (i);

each of W and W* is an oxygen atom (O); each Y is a divalent group; each of R 1 , R 11 , R 4 , R 14 , R 5 , and R 15 is an independently selected substituted or unsubstituted hydrocarbyl group; each of R 3 and R 13 is an independently selected divalent group; each of w and ww is an independently selected integer from 0 to 1,000; each of x and xx is an independently selected integer from 1 to 100; and each of y and yy is an independently selected integer from 0 to 1,000; with the provisions that w and y are not simultaneously 0, and ww and yy are not simultaneously 0; and wherein Y is a divalent group formed from a polyol having at least two carbon-bonded hydroxyl groups.

14. The cross-linked composition as set forth in claim 13 , wherein each of R 1 and R 11 is an independently selected alkyl group; R 3 is (CH 2 ) n where n is an integer selected from 1 to 30, alternatively 1 to 15; R 13 is (CH 2 ) nn where nn is an integer selected from 1 to 30, alternatively 1 to 15; each R 4 is an independently selected alkyl group, aryl group, or polyether group, alternatively each R 4 is an independently selected alkyl group having from 2 to 20 carbon atoms; each R 14 is an independently selected alkyl group, aryl group, or polyether group, alternatively each R 14 is an independently selected alkyl group having from 2 to 20 carbon atoms; each R 5 is R 1 ; each R 15 is R 11 ; each of w and ww is an independently selected integer from 1 to 300, alternatively 75 to 125; each of x and xx is an integer selected from 1 to 75, alternatively 1 to 5; and each of y and yy is an integer selected from 1 to 300, alternatively 1 to 5.

15. The cross-linked composition as set forth in claim 13 , wherein Y comprises at least one of a hydrocarbylene, heterohydrocarbylene, or organoheterylene group.

16. The cross-linked composition as set forth in claim 13 , wherein Y is of the following general formula (ii):

—[Z] d —[SiR 8 R 10 —O—] a [SiR 8 R 9 —O—] b [SiR 8 R 10 —O—] c Si—[Z] d —  (ii);

wherein each of R 8 , R 9 , and R 10 is an independently selected substituted or unsubstituted hydrocarbyl group; Z comprises at least one of a hydrocarbylene, heterohydrocarbylene, or organoheterylene group; a is an integer selected from zero to 1,000; b is an integer selected from 1 to 200; c is an integer selected from 0 to 400; and each d is 1.

17. The cross-linked composition as set forth in claim 13 , wherein said polyol has the following general formula: HO—R 7 —OH; where R 7 comprises at least one of a hydrocarbylene, a heterohydrocarbylene, or an organoheterylene group, alternatively is a hydrocarbylene group having from 1 to 40 carbon atoms, alternatively 1 to 10 carbon atoms.

18. The cross-linked composition as set forth in claim 13 , wherein said polyol is a polyether diol.

19. The cross-linked composition as set forth in claim 13 , wherein said polyol comprises a polysiloxane of the following general formula:

HO—[Z] d —[SiR 8 R 10 —O—] a [SiR 8 R 9 —O—] b [SiR 8 R 10 —O—] c Si—[Z] d —OH;

wherein each of R 8 , R 9 , and R 10 is an independently selected substituted or unsubstituted hydrocarbyl group; each Z independently comprises at least one of a hydrocarbylene, heterohydrocarbylene, or organoheterylene group, alternatively each Z is a hydrocarbylene group having from 1 to 20 carbon atoms; a is an integer selected from 0 to 1,000; b is an integer selected from 1 to 200; c is an integer selected from 0 to 1,000, alternatively 0 to 400; and each d is 1.

20. The cross-linked composition as set forth in claim 1 , having:

i) free carboxyl groups and optionally, free anhydride groups, provided by said first and/or second siloxane(s);

ii) a carboxyl equivalent of from 100 to 50,000 g/mol; or

iii) both i) and ii).