101 citations · 255 across the 6 of their papers we have counts for
6 papers
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
Yu Leng, Xiaochuan Tian, Leszek Demkowicz +2
We present a Petrov-Gelerkin (PG) method for a class of nonlocal convection-dominated diffusion problems. There are two main ingredients in our approach. First, we define the norm…
A deep learning framework for solution and discovery in solid mechanics
Ehsan Haghighat, Maziar Raissi, Adrian Moure +2
We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporat…
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics
Hugo Casquero, Carles Bona-Casas, Deepesh Toshniwal +3
We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids.…
Temperature Induced Cubic-to-Tetragonal Transformations in Shape Memory Alloys Using a Phase-Field Model
R. Dhote, H. Gomez, R. Melnik +1
Shape memory alloys (SMAs) exhibit hysteresis behaviors upon stress and temperature induced loadings. In this contribution, we focus on numerical simulations of microstructure evol…
Shape Memory Alloy Nanostructures With Coupled Dynamic Thermo-Mechanical Effects
R. Dhote, H. Gomez, R. Melnik +1
Employing the Ginzburg-Landau phase-field theory, a new coupled dynamic thermo-mechanical 3D model has been proposed for modeling the cubic-to-tetragonal martensitic transformation…
Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity
Uwe Thiele, Andrew J. Archer, Mark J. Robbins +2
The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic description of the thermodynamic transition from a fluid state to a crystalline sta…