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Pharmaceutical Manufacturing Handbook: Production and

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during compression, which will also relate to the fracture toughness <strong>and</strong> the tensile<br />

strength of the tablets, are the compression mechanics of the particles <strong>and</strong> their<br />

dimensions. Generally, all materials have the ability to store some elastic strain;<br />

however, its extent will greatly vary for different materials <strong>and</strong> will depend upon<br />

the intrinsic nature of the material. There are many instances where a brittle material,<br />

or its surface, reduces signifi cantly its cohesion or adhesion compared to that<br />

of a ductile material [4] .<br />

6.6.2<br />

THEORY OF PARTICLE COMPACTION<br />

THEORY OF PARTICLE COMPACTION 1135<br />

Basically, the process of tablet compression starts with the rearrangement of particles<br />

within the die cavity <strong>and</strong> initial elimination of voids. As tablet formulation is a<br />

multicomponent system, its ability to form a good compact is dictated by the compressibility<br />

<strong>and</strong> compactibility characteristics of each component. Compressibility<br />

of a powder is defi ned as its ability to decrease in volume under pressure, <strong>and</strong> compactibility<br />

is the ability of the powdered material to be compressed into a tablet of<br />

specifi c tensile strength [1, 2] . One emerging approach to underst<strong>and</strong> the mechanism<br />

of powder consolidation <strong>and</strong> compression is known as percolation theory. In a<br />

simple way, the process of compaction can be considered a combination of site <strong>and</strong><br />

bond percolation phenomena [5] . Percolation theory is based on the formation of<br />

clusters <strong>and</strong> the existence of a site or bond percolation phenomenon. It is possible<br />

to apply percolation theory if a system can be suffi ciently well described by a lattice<br />

in which the spaces are occupied at r<strong>and</strong>om or all sites are already occupied <strong>and</strong><br />

bonds between neighboring sites are formed at r<strong>and</strong>om.<br />

The transitional repacking stage is driven by the particle size distribution <strong>and</strong><br />

shape. This will determine the bulk density as the powder or granulation product is<br />

delivered into the die cavity. In this phase, the punch <strong>and</strong> particle movements occur<br />

at low pressure. The particles fl ow with respect to each other, with the fi ner particles<br />

entering the void between the larger particles, <strong>and</strong> thus the bulk density of the<br />

granulation is increased. Various techniques have been utilized to determine the<br />

degree of the two consolidation mechanisms in pharmaceutical solids (initial packing<br />

of the particles <strong>and</strong> elimination of void spaces), namely the rate dependency technique.<br />

By applying this technique, stress relaxation data based on the Maxwell<br />

model of viscoelastic behavior indicate virtually no rate dependency for elastic or<br />

brittle materials. There is also an increase in the calculated yield pressure with an<br />

increase in punch velocity for viscoplastic materials such as maize starch <strong>and</strong> polymeric<br />

materials. This is attributed to the reduction of time necessary for the plastic<br />

deformation process to occur [6] . For brittle materials such as magnesium <strong>and</strong><br />

calcium carbonates there is no observed change in the yield pressure with increasing<br />

punch velocity [6] .<br />

When a force is applied to a material, deformation occurs. When this deformation<br />

completely disappears after cessation of the external force, further deformation<br />

occurs. Deformations that do not completely recover after release of the stress are<br />

known as plastic deformations. The force required to initiate a plastic deformation<br />

is known as the yield stress. When the particles are so closely packed that no further<br />

fi lling of the voids can occur, a further increase of the compressional force causes<br />

deformation at the points of contact. Both plastic <strong>and</strong> elastic deformation may occur,

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