P. Zioupos et al., EXPERIMENTALLY DETERMINED MICROCRACKING AROUND A CIRCULAR HOLE IN A FLAT-PLATE OF BONE - COMPARISON WITH PREDICTED STRESSES, Philosophical transactions-Royal Society of London. Biological sciences, 347(1322), 1995, pp. 383-396
We examined the microcracking (damage) in the vicinity of a circular h
ole in bovine femoral bone specimens. The stresses near the hole were
derived by a finite element analysis model using the bone's elastic co
nstants and yield stresses, which were determined from a series of mec
hanical tests specifically for the type of bone under examination. The
spatial occurrence and distribution of microcracking was compared to
the patterns of the predicted maximum principal stress, the von Mises
stress, and the strain energy density function (all implicated by vari
ous workers as stimuli for bone remodelling) and to the predictions de
rived by the use of two engineering criteria for anisotropic yield und
er mixed mode of stress. The predictions for stresses and the strain e
nergy density were all very similar, making it impossible to claim tha
t any of them is superior to the others. However, empirical examinatio
n of the results of the Hencky-von Mises and Tsai-Wu anisotropic yield
criteria showed that the Tsai-Wu criterion approximated reasonably th
e pattern of microcracking around the hole. We suggest that, in the li
ght of the considerable damage observed in the vicinity of stress conc
entrators, similar damage in irregular material interfaces (i.e. near
orthopaedic implants) would require the re-examination of the theories
concerning bone remodelling so as to account for the possibility of o
ccurrence of damage and the quantification of its magnitude and likely
effect. The presence of considerable microdamage in bone long before
it fails sue-pests that damage-based criteria are more likely to be su
ccessful predictors of bone remodelling behaviour than would stress or
strain-based criteria.