Loading...
Modelling the mechanical behaviour of a pharmaceutical tablet using PDEs
Ahmat, Norhayati Ugail, Hassan Gonzalez Castro, Gabriela
Ahmat, Norhayati
Ugail, Hassan
Gonzalez Castro, Gabriela
Publication Date
2012-01
End of Embargo
Supervisor
Rights
© 2012 Springer. Reproduced in accordance with the publisher's self-archiving policy.
Peer-Reviewed
Yes
Open Access status
openAccess
Accepted for publication
Institution
Department
Awarded
Embargo end date
Abstract
Detailed design of pharmaceutical tablets is essential nowadays in order to produce robust tablets with tailor-made properties. Compressibility and compactibility are the main compaction properties involved in the design and development of solid dosage forms. The data obtained from measured forces and displacements of the punch are normally analysed using the Heckel model to assess the mechanical behaviour of pharmaceutical powders. In this paper, we present a technique for shape modelling of pharmaceutical tablets based on the PDE method. We extended the formulation of the PDE method to a higher dimensional space in order to generate a solid tablet and a cuboid mesh is created to represent the tablet’s components. We also modelled the displacement components of a compressed PDE-based representation of a tablet by utilising the solution of the axisymmetric boundary value problem for a finite cylinder subject to a uniform axial load. The experimental data and the results obtained from the developed model are shown in Heckel plots and a good agreement is found between both.
Version
Accepted manuscript
Citation
Ahmat N, Ugail H and Gonzalez Castro G (2012) Modelling the mechanical behaviour of a pharmaceutical tablet using PDEs. In: Gunther M, Bartel A, Brunk M et al (Eds.). Progress in Industrial Mathematics at ECMI 2010. Springer: 505-512.
Link to publisher’s version
Link to published version
Link to Version of Record
Type
Book chapter
Qualification name
Notes
Available in full text since 5th Feb 2013 following the publisher's embargo period.