143 citations · 263 across the 3 of their papers we have counts for
10 papers
Multiscale modeling of materials: Computing, data science,uncertainty and goal-oriented optimization
Nikola Kovachki, Burigede Liu, Xingsheng Sun +4
The recent decades have seen various attempts at accelerating the process of developing materials targeted towards specific applications. The performance required for a particular…
Data-driven fracture mechanics
Pietro Carrara, Laura De Lorenzis, Laurent Stainier +1
We present a new data-driven paradigm for variational brittle fracture mechanics. The fracture-related material modeling assumptions are removed and the governing equations stemmin…
Model-free Data-Driven Computational Mechanics Enhanced by Tensor Voting
Robert Eggersmann, Laurent Stainier, Michael Ortiz +1
The data-driven computing paradigm initially introduced by Kirchdoerfer & Ortiz (2016) is extended by incorporating locally linear tangent spaces into the data set. These tangent s…
Ice penetration by a bluff-body melting probe
Kerstin Weinberg, Michael Ortiz
We analyze the operation of melting probes as a Stefan problem for the liquid/solid interface surrounding the probe. We assume that the liquid layer is thin and, therefore, amenabl…
Mollified finite element approximants of arbitrary order and smoothness
Eky Febrianto, Michael Ortiz, Fehmi Cirak
The approximation properties of the finite element method can often be substantially improved by choosing smooth high-order basis functions. It is extremely difficult to devise suc…
Large scale ab-initio simulations of dislocations
Mauricio Ponga, Kaushik Bhattacharya, Michael Ortiz
We present a novel methodology to compute relaxed dislocations core configurations, and their energies in crystalline metallic materials using large-scale \emph{ab-intio} simulatio…