<p>Problems
in structural dynamics that involve rapid
evolution of the material at multiple scales
of length and time are challenging to solve numerically. One such problem
is that of a structure
un- dergoing fracture, where the material in the vicinity of a crack
front may experience high stresses and strains while the remainder of the
structure may be unaffected by it. Usually, such problems are solved using numerical
methods based on a finite element discretization in space and a finite
difference time-stepping scheme
to capture dynamic
response. Regions of interest within
the struc- ture, where high transients are expected, are usually modeled
with a fine discretization in space and time for better accuracy. In other regions
of the model where the response does not change
rapidly, a coarser
discretization suffices and helps keep the computational cost down. This
variation in spatial and temporal
discretization is achieved
through domain decomposition and multi-time-step
coupling methods which allow the use of different levels of mesh discretization
and time-steps in different regions of the mesh.</p>
| Identifer | oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/17263901 |
| Date | 18 December 2021 |
| Creators | Mriganabh Boruah (11851130) |
| Source Sets | Purdue University |
| Detected Language | English |
| Type | Text, Thesis |
| Rights | CC BY 4.0 |
| Relation | https://figshare.com/articles/thesis/ADAPTIVE_MULTI-TIME-STEP_METHODS_FOR_DYNAMIC_CRACK_PROPAGATION/17263901 |
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