Density enhancement methods and compositions
The present invention relates to granular composite density enhancement, and related methods and compositions. The application where the properties are valuable include but are not limited to: 1) additive manufacturing (“3D printing”) involving metallic, ceramic, cermet, polymer, plastic, or other dry or solvent-suspended powders or gels, 2) concrete materials, 3) solid propellant materials, 4) cermet materials, 5) granular armors, 6) glass-metal and glass-plastic mixtures, and 7) ceramics comprising (or manufactured using) granular composites.
1. A granular composite comprising a disordered, flowable powder or suspension including at least 100 particles and exhibiting a passing curve representative of a particle volume probability density function P(V) of the at least 100 particles, the passing curve having the following features:
a) at least two local maxima occurring at points V i and V j , where V i <V j , and having at least one local minimum V i-j between V i and V j , such that a height of the passing curve at the local minimum is no more than 75% percent of the height of the passing curve at either of the two local maxima;
b) average particle volumes V i avg and V j avg such that V j avg /V i avg ≤10,000, of particle groups “i” and “j”, where an average particle size V i avg for any group of particles is defined as the integral of V*P i (V) (or the equivalent summation) taken over all particles in the group, where group “i” is a group containing all particles with volumes ranging from V h-i to V i-j including V i , and group “j” is a group containing all particles with volumes ranging from V i-j to V j-k including V j , and where V h-i is the larger of either a volume of a smallest particle in the composite or a minimum between maxima at points V h and V i , V h <V i , such that a maximum at V h corresponds to another particle group “h” and where a point V j-k is a smaller than either a volume of a largest particle in the composite, or a minimum between maxima at V j and V k , V j <V k , such that V k corresponds to another particle group “k”; and
c) V l and V r , V r /V l =10,000, such that integral of V*P(V) from V h-i to at least one of the local minima V i-j falling between the maxima at V i and V j is at least 2% of integral of V*P(V) from V l to V r , and such that integral from that same local minimum at V i-j to V j-k is at least 2% of integral of V*P(V) from V l to V r , and wherein the granular composite exhibits the following features: for at least one pair of particle groups “i” and “j” adjacent by average volume:
i. for group “j” (larger) particles, an average number of; for granular composite powders, contacts with particles also of group “j” that is greater than or equal to one, and for granular composite suspensions, nearest neighbors of group “j” that is greater than or equal to one,
ii. V j avg /V i avg <=2,000 and >=25, and
iii. no region of space that is contained entirely within the mixed granular composite and is of height, width, and depth that are all at least ten diameters of the largest particle of group “j” in spatial extent, is filled with only particles of either groups “i” or “j”, and further that in each region of space of such size containing particles from both group “i” and group “j”, a non-zero quantity of group “i” (smaller) particles within the region contribute to the mechanical stability of the group “j” (larger) particles within the region rather than existing solely in the voids created between mechanically stable configurations of group “j” particles.
2. The composition of claim 1 , wherein a relative volume of a smaller of at least one pair of particle groups adjacent by average volume is between 10% and 80% of a total volume of particles in the two adjacent groups.
3. The composition of claim 1 , wherein said granular composite exhibits a porosity of less than 25%.