436 citations · 994 across the 13 of their papers we have counts for
14 papers
Consistent machine learning for topology optimization with microstructure-dependent neural network material models
Harikrishnan Vijayakumaran, Jonathan B. Russ, Glaucio H. Paulino +1
Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. How…
Triclinic metamaterials by tristable origami with reprogrammable frustration
Ke Liu, Phanisri P. Pratapa, Diego Misseroni +2
Geometrical frustration induced anisotropy and inhomogeneity are explored to achieve unique properties of metamaterials that set them apart from conventional materials. According t…
Experimental realization of tunable Poisson's ratio in deployable origami metamaterials
Diego Misseroni, Phanisri P. Pratapa, Ke Liu +1
Origami metamaterials are known to display highly tunable Poisson's ratio values depending on their folded state. Most studies on the Poisson effects in deployable origami tessella…
Discrete symmetries control mechanical response in parallelogram-based origami
James McInerney, Glaucio H. Paulino, D. Zeb Rocklin
Geometric compatibility constraints dictate the mechanical response of soft systems that can be utilized for the design of mechanical metamaterials such as the negative Poisson rat…
Speeding up Computational Morphogenesis with Online Neural Synthetic Gradients
Yuyu Zhang, Heng Chi, Binghong Chen +4
A wide range of modern science and engineering applications are formulated as optimization problems with a system of partial differential equations (PDEs) as constraints. These PDE…
The role of nonlinearities in topological protection: using magnetically coupled fidget spinners
Javier Vila, Glaucio H. Paulino, Massimo Ruzzene
We investigate and experimentally observe the existence of topologically protected interface modes in a one-dimensional mechanical lattice, and we report on the effect of nonlinear…
Stochastic Sampling for Structural Topology Optimization with Many Load Cases: Density-Based and Ground Structure Approaches
Xiaojia Zhang, Eric de Sturler, Glaucio H. Paulino
We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational c…
Unravelling Metamaterial Properties in Zigzag-base Folded Sheets
Maryam Eidini, Glaucio H. Paulino
Creating complex spatial objects from a flat sheet of material using origami folding techniques has attracted attention in science and engineering. In the present work, we employ g…
Topology Optimization Using Polytopes
Arun L. Gain, Glaucio H. Paulino, Leonardo Duarte +1
Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geom…
On the Virtual Element Method for Three-Dimensional Elasticity Problems on Arbitrary Polyhedral Meshes
Arun L. Gain, Cameron Talischi, Glaucio H. Paulino
We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the e…
A consistent operator splitting algorithm and a two-metric variant: Application to topology optimization
Cameron Talischi, Glaucio H. Paulino
In this work, we explore the use of operator splitting algorithms for solving regularized structural topology optimization problems. The context is the classical structural design…
Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection
Cameron Talischi, Glaucio H. Paulino
Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences o…
Dynamic Adaptive Mesh Refinement for Topology Optimization
Shun Wang, Eric de Sturler, Glaucio H. Paulino
We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually mod…
Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics
Youn-Sha Chan, Albert C. Fannjiang, Glaucio H. Paulino
Hypersingular integrals of the type $I_α(T_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ and $I_α(U_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{U_n(s…