Skip to content

Research

Details of my current and previous research can be found here. More information can be found on my research blog.

Preprints

  • AAR, Prabhu Ramachandran, Anisotropic, sparse, and interpretable Physics-Informed Neural Networks for PDEs., Preprint available on arxiv.

Journals

  • AAR, Prabhu Ramachandran, SPINN: Sparse, Physics-based, and Interpretable Neural Networks for PDEs. Journal of Computational Physics, Vol. 445, 110600 (2021). Share Link. DOI: 10.1016/j.jcp.2021.110600. Preprint available on arxiv.

  • AAR. An iterative scheme for the generalized Peierls-Nabarro model based on the inverse Hilbert transform. Int. J. Computational Materials Science and Engineering, Vol. 8, No. 4, 1950019 (2019). Preprint available on arxiv.

  • M. Ponga, AAR, K. Bhattacharya, M. Ortiz. Dynamic behavior of nano-voids in Magnesium under hydrostatic tensile stress. Modelling Simul. Mater. Sci. Eng. 24 065003 (2016).

  • AAR, S. Gopalakrishnan. Automatic finite element formulation and assembly of hyperelastic higher order structural models. Applied Mathematical Modelling, Vol. 38, Issues 11--12, Pg. 2867--2883 (2014).

  • S. Gopalakrishnan, AAR. Comparative study of different nonconserving time integrators for wave propagation in hyperelastic waveguides. Acta Mech., 225, 2789--2814 (2014).

  • AAR, S. Gopalakrishnan. Automatic energy-momentum conserving time integrators for hyperelastic waves. Journal of Computational and Applied Mathematics, Vol. 236, Issue 18, 4700--4711 (2012).

  • AAR, S. Gopalakrishnan. Time and frequency domain finite element models for axial waves in hyperelastic rods. Mechanics of Advanced Materials and Structures, Vol. 19, Issue 1--3, 79--99 (2012).

Conferences & Invited Talks

  • Topology Optimization via Homogenization Theory Talk at Control Theory meets Theory of Homogenization discussion meeting, Dept. of Mathematics, IIT Bombay, February 28 to March 4, 2023.

  • Topics in the mathematical analysis of deep neural networks Mini lecture series at Dept. of Mathematics, IIT Bombay, May 6 to May 14, 2022.

  • Introduction to Topology Optimization AICTE-ATAL online workshop. Feb 21 to Feb 25, 2022.

  • Physics based learning of forward and inverse problems. AICTE-ATAL online workshop. Dec 6 to Dec 10, 2021.

  • SPINN - an interpretable sparse NN architecture for PDEs. Seminar talk at CMInDS, October 13, 2021, IIT Bombay. Recording

  • Machine learning dislocation core structures. Online workshop on Artificial Intelligence for Materials Design, IIT Bombay, May 24 -- June 9, 2020.

  • Machine learning dislocation core structures. Invited talk at Samuel Ginn College of Engineering, Auburn University, December 2019.

  • Machine learning dislocation core structures. Invited talk at Mechanical and Aerospace Engineering Department, University of Colorado, Colorado Springs, December 2019.

  • Extending the Peierls-Nabarro model using machine learning. Presented at Dislocations 2019, September 15-20, Haifa, Israel.

  • A coarse-grained molecular dynamics study of recrystallization of amorphous Silicon. Presented at WCCM XIII, July 22-27, 2018, New York, USA.

  • Coarse-grained atomistic simulation: A quasicontinuum perspective. Talk given at the Indo-Korean workshop organized by IIT Bombay and KIST, January 10-12, 2018, Mumbai, India.

From post-doc work at Caltech and Ecole Centrale de Nantes

  • Mesodynamics: a hybrid deterministic-statistical framework for molecular dynamics. (with M. Ortiz) Presented at USNCCM14, July 17-20 2017, Montreal, Canada.

  • A new atomistic-to-continuum multiscale framework based on optimal scaling laws for ductile fracture. (with A. Pandolfi, and M. Ortiz) Presented at Mach Conference 2017, Apr 5-7 2017, Annapolis, USA.

  • Multi-scale modeling and simulation of spall in Magnesium. Invited Talk at University of Colorado, Colorado Springs, Nov. 4, 2016.

  • Finite Temperature Quasicontinuum analysis of defects in Magnesium. (with M. Ortiz) Poster presented at Dislocations 2016, 19-23 September 2016, Purdue University, West Lafayette, IN, USA.

  • Multiscale modeling of twinning and nano-void growth in magnesium. (with M. Ortiz) Presented at Mach Conference 2016, 6-8 April 2016, Annapolis, USA.

  • A. A. Ramabathiran, M. Ponga, K. Wang, M. Ortiz. Coarse-grained non-equilibrium atomistic simulation of twinning and void growth in Magnesium. (with M. Ponga, K. Wang, and M. Ortiz) Presented at Mach Conference 2015, 4-7 April 2015, Annapolis, USA.

  • Staggered schemes for strongly coupled thermoviscoelastic problems based on an energy-based variational formulation of thermomechanics. (with L. Stainier) Presented at XII International Conference on Computational Plasticity (COMPLAS 2013), 3-5 September 2013, Barcelona, Spain.

From Ph.D. work at IISc Bangalore

  • Conserving Integrators for wave propagation in Hyperelastic Layers. (with S. Gopalakrishnan) Presented at FEMTEC 2011, Third International Conference on Computational Methods in Engineering and Science, South Lake Tahoe, USA.

  • Time and Frequency domain Finite Element analysis of axial wave propagation in weakly nonlinear elastic rods. (with S. Gopalakrishnan) Presented at Proceedings of ICEAE 2009, IISc, Bangalore, India.

  • Galerkin Finite Element schemes for wave propagation in nonlinear elastic rods. (with S. Gopalakrishnan) Presented at 50th AIAA SDM conference 2009, Palm Springs, USA.

  • Spectral Finite Element Analysis of wave propagation in Euler-Bernoulli Beams. (with S. Gopalakrishnan) Presented at ICMMS 2008, IISc, Bangalore, India.

  • Analysis of wave propagation in 1D rods with first order material nonlinearity using spectral finite element method. (with S. Gopalakrishnan) Presented at Proceedings of Indo-Russian Workshop on Problems in Nonlinear Mechanics of Solids with Large Deformation, 2006, New Delhi, India.

From UG dual degree work at IIT Madras

  • A finite element based aeroelastic solver for fully geometrically nonlinear rods. (with K.V.N. Gopal) Presented at ICMMS 2008, IISc, Bangalore, India.