Gain, Arun L. 2010. “A Hybrid Technique to Extract Cohesive Fracture Properties of Elasto-Plastic Materials Using Inverse Analysis and Digital Image Correlation”. Department of Civil and Environmental Engineering, UIUC. UIUC. Link to Dissertation: A hybrid technique to extract cohesive fracture properties of elasto-plastic materials using inverse analysis and digital image correlation.

Gain, Arun L. 2013. “Polytope-Based Topology Optimization Using a Mimetic-Inspired Method”. Department of Civil and Environmental Engineering, UIUC. UIUC. Link to Dissertation: Polytope-based Topology Optimization Using a Mimetic-Inspired Method.

Gain, Arun L, and Glaucio H Paulino. 2013. “A Critical Comparative Assessment of Differential Equation-Driven Methods for Structural Topology Optimization”. Structural and Multidisciplinary Optimization 48. Springer: 685–710.

Gain, Arun L, Cameron Talischi, and Glaucio H Paulino. 2014. “On the Virtual Element Method for Three-Dimensional Linear Elasticity Problems on Arbitrary Polyhedral Meshes”. Computer Methods in Applied Mechanics and Engineering 282. Elsevier: 132–160.

Gain, Arun L, Jay Carroll, Glaucio H Paulino, and John Lambros. 2011. “A Hybrid Experimental Numerical Technique to Extract Cohesive Fracture Properties for Mode-I Fracture of Quasi-Brittle Materials”. International Journal of Fracture 169. Springer: 113–131.

Gain, Arun L, Glaucio H Paulino, Leonardo S Duarte, and Ivan FM Menezes. 2015. “Topology Optimization Using Polytopes”. Computer Methods in Applied Mechanics and Engineering 293. Elsevier: 411–430.

Gain, Arun L, and Glaucio H Paulino. 2012. “Phase-Field Based Topology Optimization With Polygonal Elements: A Finite Volume Approach for the Evolution Equation”. Structural and Multidisciplinary Optimization 46. Springer: 327–342.

Paulino, Glaucio H, and Arun L Gain. 2015. “Bridging Art and Engineering Using Escher-Based Virtual Elements”. Structural and Multidisciplinary Optimization 51. Springer: 867–883.