18 citations · 21 across the 9 of their papers we have counts for
9 papers
Crushing, Comminution and Fracture: Extreme Particle Deformation in Three-Dimensional Granular Aggregates
Debdeep Bhattacharya, Davood Damircheli, Robert P. Lipton
We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Depar…
Design of resilient structures by randomization and bistability
Debdeep Bhattacharya, Tyler P. Evans, Andrej Cherkaev
This paper examines various ways of improving the impact resilience of protective structures. Such structures' purpose is to dissipate an impact's energy while avoiding cracking an…
Energy balance and damage for dynamic brittle fracture from a nonlocal formulation
Robert P. Lipton, Debdeep Bhattacharya
A nonlocal model of peridynamic type for dynamic brittle damage is introduced consisting of two phases, one elastic and the other inelastic. Evolution from the elastic to the inela…
Quasistatic fracture evolution
Debdeep Bhattacharya, Robert Lipton, Patrick Diehl
Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationa…
Quasistatic Evolution with Unstable Forces
Debdeep Bhattacharya, Robert P. Lipton
We consider load controlled quasistatic evolution. Well posedness results for the nonlocal continuum model related to peridynamics are established. We show local existence and uniq…
Simulating grain shape effects and damage in granular media using PeriDEM
Debdeep Bhattacharya, Robert P. Lipton
We provide a numerical platform for the analysis of particle shape and topology effect on the macroscopic behavior of granular media. We work within a Discrete Element Method (DEM)…
Peridynamics for Quasistatic Fracture Modeling
Debdeep Bhattacharya, Patrick Diehl, Robert P. Lipton
Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading…
Mass-concentration of low-regularity blow-up solutions to the focusing 2D modified Zakharov-Kuznetsov equation
Debdeep Bhattacharya
We consider the focusing modified Zakharov-Kuznetsov (mZK) equation in two space dimensions. We prove that solutions which blow up in finite time in the norm have the…
Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation
Debdeep Bhattacharya, Luiz Gustavo Farah, Svetlana Roudenko
We consider the modified Zakharov-Kuznetsov (mZK) equation in two space dimensions in both focusing and defocusing cases. Using the -method, we prove the global well-posedness o…