Polytope-based topology optimization using a mimetic-inspired method

Arun Gain
University of Illinois at Urbana-Champaign

8
2014
On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes

Arun L. Gain , Cameron Talischi , Glaucio H. Paulino
Computer Methods in Applied Mechanics and Engineering 282 132 -160

353
2014
Bridging art and engineering using Escher-based virtual elements

Glaucio H. Paulino , Arun L. Gain
Structural and Multidisciplinary Optimization 51 ( 4) 867 -883

26
2015
A geometry projection method for the topology optimization of plate structures

Shanglong Zhang , Julián A. Norato , Arun L. Gain , Naesung Lyu
Structural and Multidisciplinary Optimization 54 ( 5) 1173 -1190

66
2016
Phase-field based topology optimization with polygonal elements: a finite volume approach for the evolution equation

Arun L. Gain , Glaucio H. Paulino
Structural and Multidisciplinary Optimization 46 ( 3) 327 -342

36
2012
A critical comparative assessment of differential equation-driven methods for structural topology optimization

Arun L. Gain , Glaucio H. Paulino
Structural and Multidisciplinary Optimization 48 ( 4) 685 -710

46
2013
Stress-based topology optimization with discrete geometric components

Shanglong Zhang , Arun L. Gain , Julián A. Norato
Computer Methods in Applied Mechanics and Engineering 325 1 -21

45
2017
Topology optimization using polytopes

Arun L. Gain , Glaucio H. Paulino , Leonardo S. Duarte , Ivan F.M. Menezes
Computer Methods in Applied Mechanics and Engineering 293 411 -430

52
2015
Fatigue-based topology optimization with non-proportional loads

Shanglong Zhang , Chau Le , Arun L. Gain , Julián A. Norato
Computer Methods in Applied Mechanics and Engineering 345 805 -825

11
2019
Adaptive mesh refinement for topology optimization with discrete geometric components

Shanglong Zhang , Arun L. Gain , Julián A. Norato
Computer Methods in Applied Mechanics and Engineering 364 112930

10
2020
A geometry projection method for the topology optimization of curved plate structures with placement bounds

Shanglong Zhang , Arun L. Gain , Julián A. Norato
International Journal for Numerical Methods in Engineering 114 ( 2) 128 -146

26
2018
A hybrid experimental/numerical technique to extract cohesive fracture properties for mode-I fracture of quasi-brittle materials

Arun L. Gain , Jay Carroll , Glaucio H. Paulino , John Lambros
International Journal of Fracture 169 ( 2) 113 -131

31
2011
Poppet valve for a combustion engine

Mark D. Veliz , Qu Rong , Arun L. Gain , Walter S. Isenberg

2020
Extraction of Cohesive Properties of Elasto-Plastic material using Inverse Analysis

Arun Lal Gain , Jay Carroll , Glaucio H Paulino , John Lambros

2009
System and method for evaluating additive manufacturing index

Arun Lal Gain , Marchione Thierry Andre , Austin Joseph Schmidt , Yihong Yang

11
2020
Nodes for frame structures

Tad Miller , Arun L Gain , Stan Eads

12
2019