This work brings together two viewpoints on the mechanics of bulk growth that, in
spite of some similarities, originate from different conceptualizations of this
phenomenon. Each viewpoint designates a specific approach to growth, identified
by the “growth law” that it determines, i.e., the “rule” governing the mass
variation in the considered growing medium. In the first approach, which we call
the “a priori approach”, the growth law is supplied phenomenologically, is
viewed as a constraint, and is appended to the principle of virtual work in
order to determine the effective dynamic equations of the growth problem
at hand. On the other hand, in the second approach, denominated the “a
posteriori approach”, growth is regarded as an unconstrained problem, and the
growth law is viewed as a consequence of the medium’s dynamics. To highlight
the main differences between these two approaches, we solve numerically a
simple benchmark problem, and we compare the simulations obtained for each
approach.
PDF Access Denied
We have not been able to recognize your IP address
3.239.97.34
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription only.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.