Papers

2025

1. Neural Chaos: A Spectral Stochastic Neural Operator
   B. Bahmani, et al., Journal of Computational Physics.
2. A Resolution Independent Neural Operator
   B. Bahmani, et al., Computer Methods in Applied Mechanics and Engineering.

2024

1. Physics-constrained Symbolic Model Discovery for Polyconvex Incompressible Hyperelastic Material
   B. Bahmani and W. Sun, International Journal for Numerical Methods in Engineering.
2. Discovering Interpretable Elastoplasticity Models via the Neural Polynomial Method enabled Symbolic Regression
   B. Bahmani, et al., Computer Methods in Applied Mechanics and Engineering.
3. A Review on Data-Driven Constitutive Laws for Solids
   J. Fuhg, G. Padmanabha, N. Bouklas, B. Bahmani, et al., Archives of Computational Methods in Engineering.

2023

1. Manifold embedding data-driven mechanics
   B. Bahmani and W. Sun, Journal of Mechanics and Physics of Solids.
2. Distance-preserving manifold de-noising for data-driven mechanics
   B. Bahmani and W. Sun, Computer Methods in Applied Mechanics and Engineering.
3. Equivariant geometric learning for digital rock physics: estimating formation factor and effective permeability tensors from Morse graph
   C. Cai, N. Vlassis, L. Magee, R. Ma, Z. Xiong, B. Bahmani, et al., International Journal for Multiscale Computational Engineering.

2022

1. Data-driven discovery of interpretable causal relations for deep learning material laws with uncertainty quantification
   X. Sun, B. Bahmani, et al., Granular Matter.
2. Synthesizing controlled microstructures of porous media using generative adversarial networks and reinforcement learning
   P. Nguyen, N. Vlassis, B. Bahmani, et al., Scientific Reports.

2021

1. A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data
   B Bahmani and W. Sun, Computer Methods in Applied Mechanics and Engineering.
2. Training multi-objective/multi-task collocation physics-informed neural network with student-teachers transfer learnings
   B Bahmani and W. Sun, arxiv

2019

1. Automated homogenization-based fracture analysis: Effects of SVE size and boundary condition
   B. Bahmani, et al., Computer Methods in Applied Mechanics and Engineering.
2. Asynchronous spacetime discontinuous Galerkin formulation for a hyperbolic time-delay bulk damage model
   B. Bahmani and R. Abedi, Journal of Engineering Mechanics.
3. A stochastic bulk damage model based on Mohr-Coulomb failure criterion for dynamic rock fracture
   B. Bahmani, et al., Applied Sciences.
4. Effect of volume element geometry on convergence to a representative volume
   K. Acton, C. Sherod, B. Bahmani, and R. Abedi, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering.

2018

1. Voronoi tessellation based statistical volume element characterization for use in fracture modeling
   K. Acton, S. Baxter, B. Bahmani, P. Clarke, and R. Abedi, Computer Methods in Applied Mechanics and Engineering.
2. Application of an enriched FEM technique in thermo-mechanical contact problems
   A. Khoei and B. Bahmani, Computational Mechanics.