Abstract：
:This work presents a technique for shape modelling of cylindrical and spherical tablets subject to compression. This technique is based on the use of partial differential equations (PDEs), the biharmonic equation in particular. The deformation of the compressed elastic-plastic tablet of both shapes was obtained using the existing contact models found in literature. The mathematical properties of the biharmonic equation have been exploited to achieve simple mathematical expressions characterising the shape of the distorted tablet. Thus, the height, radius and contact area of both configurations due to uniaxial compression are represented by analytic expressions relating the coefficients associated with the solution of the biharmonic equation. The results obtained from the PDE-based simulation are compared with the theoretical ones. It is found that the analytic solution of the elliptic PDE can be utilised to represent the physical changes of the deformed object.
journal_name
Int J Pharmjournal_title
International journal of pharmaceuticsauthors
Ahmat N,Ugail H,González Castro Gdoi
10.1016/j.ijpharm.2012.01.053subject
Has Abstractpub_date
2012-05-10 00:00:00pages
170-6issue
2eissn
0378-5173issn
1873-3476pii
S0378-5173(12)00107-Xjournal_volume
427pub_type
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