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Fracture strength and elastic modulus as a function of porosity for hydroxyapatite and other brittle materials, Part II...

by Xiaofeng Fan, Eldon Case, Fei Ren, Yutian Shu, Melissa Baumann
Publication Type
Journal
Journal Name
Journal of the Mechanical Behavior of Biomedical Materials
Publication Date
Page Numbers
99 to 110
Volume
8

Part I of this paper discussed the Weibull modulus m, versus porosity P behavior of brittle
materials, including HA. While the Weibull modulus m deals with the scatter in fracture
strength data, this paper (Part II) focuses on two additional key mechanical properties of
porous materials, namely the average fracture strength ⟨σf ⟩, and Young’s modulus E, for P
in the interval from P ≈ zero to P ≈ PG (the porosity of the unfired compacts). The ⟨σf ⟩ versus
P data for HA from this study and the literature data for alumina, yttria stabilized zirconia
(YSZ) and silicon nitride are describedwell by functions of φ, where φ = 1−P/PG = the degree
of densification. A similar function of φ applies to the ⟨E⟩ versus P behavior of HA from this
study and data from the literature for alumina, titanium and YSZ. All of the data analyzed
in this study (Part II) are based on partially and fully sintered powder compacts (excluding
green powder compacts), thus the ⟨σf ⟩/σ0 versus φ and ⟨E⟩/E0 versus φ relationships may
apply only to such specimens.