Golf balls having foam centers with non-uniform core structures

1. A multi-layered golf ball, comprising:

i) an inner core comprising a foamed polyurethane, the inner core having a center and outer surface, and a diameter in the range of about 0.100 to about 1.100 inches, the inner core having projecting members on the outer surface;

ii) an outer core layer comprising a non-foamed thermoset or thermoplastic material, the outer core layer being disposed about the inner core and having a thickness in the range of about 0.200 to about 0.800 inches, wherein the inner core has a specific gravity (SG inner ) and a center hardness (H inner core center ), and the outer core has a specific gravity (SG outer ) and an outer surface hardness ((H outer surface of OC ), the SG outer , being greater than the SG inner and the H inner core center being in the range of about 10 to about 80 Shore C and the H outer surface of OC being in the range of about 65 to about 96 Shore C to provide a positive hardness gradient across the core assembly; and

iii) a cover having at least one layer disposed about the multi-layered core.

2. The golf ball of claim 1 , wherein the projecting members are spaced apart from each other and gaps are located between the projections.

3. The golf ball of claim 2 , wherein the projecting members are shaped and positioned so that the inner core has a substantially spherical shape.

4. The golf ball of claim 2 , wherein the outer core layer is disposed about the inner core such that the material of the outer core layer fills the gaps between the projecting members.

5. The golf ball of claim 1 , wherein the foamed polyurethane composition is prepared by adding water to a mixture of polyisocyanate, polyol, and curing agent compounds, surfactant and catalyst, the water being added in a sufficient amount to cause the mixture to foam.

6. The golf ball of claim 1 , wherein the inner core has a diameter in the range of about 0.20 to about 0.90 inches and specific gravity in the range of about 0.30 to about 0.95 g/cc.

7. The golf ball of claim 1 , wherein the outer core layer comprises a thermoset rubber selected from the group consisting of polybutadiene, ethylene-propylene rubber, ethylene-propylene-diene rubber, polyisoprene, styrene-butadiene rubber, polyalkenamers, and butyl rubber, and mixtures thereof.

8. The golf ball of claim 7 , wherein the thermoset rubber is polybutadiene rubber.

9. The golf ball of claim 1 , wherein the outer core layer comprises a thermoplastic polymer selected from the group consisting of partially-neutralized ionomers; highly-neutralized ionomers; polyesters; polyamides; polyamide-ethers, polyamide-esters; polyurethanes, polyureas; fluoropolymers; polystyrenes; polypropylenes; polyethylenes; polyvinyl chlorides; polyvinyl acetates; polycarbonates; polyvinyl alcohols; polyester-ethers; polyethers; polyimides, polyetherketones, polyamideimides; and mixtures thereof.

10. The golf ball of claim 9 , wherein the thermoplastic material is an ionomer composition comprising an O/X/Y-type copolymer, wherein O is α-olefin, X is a C 3 -C 8 α,β-ethylenically unsaturated carboxylic acid present in an amount of 10 to 20 wt. %, based on total weight of the copolymer, and Y is an acrylate selected from alkyl ambles and aryl acrylates present in an amount of 0 to 50 wt. %, based on total weight of the copolymer, wherein greater than 70% of the acid groups present in the composition are neutralized with a metal ion.

11. The golf ball of claim 1 , wherein the inner core layer has an outer surface hardness (H inner core surface ) and a center hardness (H inner core center ), the H inner core surface being the same or less than the to provide a zero or negative hardness gradient; and the outer core layer has an outer surface hardness (H outer surface of OC ) and a midpoint hardness (H midpoint of OC ), the H outer surface of OC being greater than the (H midpoint of OC ), to provide a positive hardness gradient.

12. The golf ball of claim 11 , wherein the H inner core surface is in the range of about 10 to about 60 Shore C and the H inner core surface is in the range of about 10 to about 55 Shore C.

13. The golf ball of claim 11 , wherein the (H midpoint of OC ) is in the range of about 45 to about 85 Shore C and the H outer surface of OC is in the range of about 72 to about 95 Shore C.

14. The golf ball of claim 1 , wherein the inner core layer has an outer surface hardness (H inner core surface ) and a center hardness (H inner core center ), the H inner core surface being greater than the H inner core center to provide a positive hardness gradient; and the outer core layer has an outer surface hardness (H outer surface of OC ) and a midpoint hardness (H midpoint of OC ), the H outer surface of OC being greater than the (H midpoint of OC ), to provide a positive hardness gradient.

15. The golf ball of claim 14 , wherein the H inner core center is in the range of about 10 to about 78 Shore C and the H inner core surface is in the range of about 24 to about 81 Shore C.

16. The golf ball of claim 14 , wherein the H midpoint of OC is in the range of about 40 to about 87 Shore C and the H outer surface of OC is in the range of about 72 to about 95 Shore C.

17. The golf ball of claim 1 , wherein the cover is a single layer having a thickness of about 0.015 to about 0.090 inches and is formed from a thermoplastic or thermoset material.

18. The golf ball of claim 1 , wherein the cover comprises an inner cover layer and outer cover layer, each cover having a surface hardness, wherein the surface hardness of the inner cover layer is greater than the surface hardness of the outer cover layer.

19. The golf ball of claim 1 , wherein the cover has at least one layer formed from a polyurethane composition.

20. The golf hall of claim 1 , wherein the cover has at least one layer formed from an ethylene acid copolymer ionomer composition.