39 citations · 474 across the 54 of their papers we have counts for
9 papers · 1 filter
Nonlocal Electrostatics and Boundary Charges in Continuum Limits of Two-Dimensional Materials
Shoham Sen, Yang Wang, Timothy Breitzman +1
Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from…
Accretion and Ablation in Deformable Solids using an Eulerian Formulation: A Finite Deformation Numerical Method
S. Kiana Naghibzadeh, Anthony Rollett, Noel Walkington +1
Surface growth, i.e., the addition or removal of mass from the boundary of a solid body, occurs in a wide range of processes, including the growth of biological tissues, solidifica…
Phase-Field Finite Deformation Fracture with an Effective Energy for Regularized Crack Face Contact
Maryam Hakimzadeh, Vaibhav Agrawal, Kaushik Dayal +1
Phase-field models are a leading approach for realistic fracture problems. They treat the crack as a second phase and use gradient terms to smear out the crack faces, enabling the…
Multiband homogenization of metamaterials in real-space: Higher-order nonlocal models and scattering at external surfaces
Kshiteej Deshmukh, Timothy Breitzman, Kaushik Dayal
This work develops a dynamic homogenization approach for metamaterials. It finds an approximate macroscopic homogenized equation with constant coefficients posed in space and time;…
Predicting Peak Stresses In Microstructured Materials Using Convolutional Encoder-Decoder Learning
Ankit Shrivastava, Jingxiao Liu, Kaushik Dayal +1
This work presents a machine learning approach to predict peak-stress clusters in heterogeneous polycrystalline materials. Prior work on using machine learning in the context of me…
Energetic Formulation of Large-Deformation Poroelasticity
Mina Karimi, Mehrdad Massoudi, Noel Walkington +2
The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing…
Phase-Field Modeling and Peridynamics for Defect Dynamics, and an Augmented Phase-Field Model with Viscous Stresses
Janel Chua, Vaibhav Agrawal, Timothy Breitzman +2
This work begins by applying peridynamics and phase-field modeling to predict 1-d interface motion with inertia in an elastic solid with a non-monotone stress-strain response. In c…
Surface Growth in Deformable Solids using an Eulerian Formulation
S. Kiana Naghibzadeh, Noel Walkington, Kaushik Dayal
Accretion and ablation, i.e. the addition and removal of mass at the surface, is important in a wide range of physical processes including solidification, growth of biological tiss…
Surface Growth in Deformable Solids using an Eulerian Formulation
Kiana Naghibzadeh, Noel Walkington, Kaushik Dayal
Growth occurs in a wide range of systems ranging from biological tissue to additive manufacturing. This work considers surface growth, in which mass is added to the boundary of a c…