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. Author manuscript; available in PMC: 2016 Jun 1.
Published in final edited form as: Acta Biomater. 2015 Mar 22;19:33–45. doi: 10.1016/j.actbio.2015.03.011

Table 1.

Finite element results for the components of fracture energy and toughness of the control and deproteinized enamel for the longitudinal direction of crack growth.

Jtip JPl Jbr Jtotal KLEFM Keff
Control Sample 1 85.8 7.8 37.2 130.8 1.68 2.08
Sample 2 94.0 8.3 45.3 147.6 1.76 2.20
Sample 3 79.6 7.5 41.2 128.3 1.62 2.05

Average 86.5±7.2 7.9±0.40 41.2±4.1 135.5±10.5 1.68±0.1 2.11±0.1

Deproteinized Sample 1 50.2 2.6 8.5 61.3 1.29 1.42
Sample 2 33.4 2.1 5.7 41.2 1.05 1.16
Sample 3 26.2 1.9 4.3 32.4 0.93 1.03

Average 36.6±12.3 2.2±0.40 6.2±2.1 45.0±14.8 1.09±0.2 1.2±0.2

Units for J and K are Pa•m and MPa•m1/2, respectively.

I. Jtip is the fracture energy estimated for linear elastic behavior and is used to calculate Kc

II. Jpl accounts for the energy spent in plastic deformation

III. Jbr is the energy stored in the spring elements

IV. Jtotal is the total fracture energy used to calculate Keff