activity
20182024
most citedDesign of multi-layer materials using inverse homogenization and a level set method

30 citations · 71 across the 6 of their papers we have counts for

collaborators

6 papers

math.GM2024

Mathematics for energy systems: Methods, modeling strategies, and simulation

Nicklas Jävergård, Grigor Nika, Adrian Muntean

We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge tr…

math.NA2024

A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation

Rainey Lyons, Grigor Nika, Adrian Muntean

We present a finite-volume based numerical scheme for a nonlocal Cahn-Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal…

math.AP2022★ 1 cited

Effective medium theory for second-gradient elasticity with chirality

Grigor Nika, Adrian Muntean

We derive effective, parsimonious models from a heterogeneous second-gradient nonlinear elastic material taking into account chiral scale-size effects. Our classification of the ef…

physics.app-ph2018★ 30 cited

Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson's ratio

Filippo Agnelli, Andrei Constantinescu, Grigor Nika

This work proposes the complete design cycle for several auxetic materials where the cycle consists of three steps (i) the design of the micro-architecture, (ii) the manufacturing…

math.OC2018★ 30 cited

Design of multi-layer materials using inverse homogenization and a level set method

Grigor Nika, Andrei Constantinescu

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We…

math.AP2018★ 10 cited

Multiscale modeling of magnetorheological suspensions

Grigor Nika, Bogdan Vernescu

We develop a multiscale approach to describe the behavior of a suspension of solid magnetizable particles in a viscous non-conducting fluid in the presence of an externally applied…