YoungÃ¢ÂÂs Modulus of Macroporous Bioceramics: Measurement and Numerical Simulation
- *Corresponding Author:
- Franc¸ois Pecqueux
E-mail: [email protected]
Received date: November 11, 2010; Accepted date: December 02, 2010
biomaterial; modeling; modelling; apatite; microstructure; FEM; FEA
A biphasic calcium phosphate (BCP) powder is synthesized, mixed with various amounts of naphthalene particles, pressed and sintered at different temperatures to obtain ceramics with isolated macropores (from 3% to 52% of the specimen volume) and residual microporosity resulting from an incomplete sintering (from 2% to 45% of the ceramic matrix volume). Youngâ€™s modulus is measured on a classical three-point bending setup. A good agreement is found between an existing analytical model and the experimental Youngâ€™s modulus measurements, on the overall ranges of macro- and microporosity. The Youngâ€™s modulus variation as a function of macroporosity is also calculated by a finite element method, by simulating the mechanical response of a periodic tri-dimensional repetition of elemental cubes containing various dispersions of macropores. The contribution of the shape and dispersion (in size and location) of the macropores on the decrease of Youngâ€™s modulus as a function of porosity is simulated. Calculated trends are confirmed by experimental results.