Optimal Bounds on the in-Plane Shear Moduli for Orthotropic Elastic Composites. - Robert Lipton 001; Jim Northrup (SIAM J. Appl. Math., 1994)

Reciprocal Relations, Bounds, and Size Effects for Composites with Highly Conducting Interface. - Robert Lipton 001 (SIAM J. Appl. Math., 1997)

Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance. - Robert Lipton 001 (SIAM J. Appl. Math., 1998)

Optimal Inequalities for Gradients of Solutions of Elliptic Equations Occurring in Two-Phase Heat Conductors. - Robert Lipton 001 (SIAM J. Math. Anal., 2001)

Homogenization Theory and the Assessment of Extreme Field Values in Composites with Random Microstructure. - Robert Lipton 001 (SIAM J. Appl. Math., 2004)

Bounds and Extremal Configurations for the Torsional Rigidity of Coated Fiber Reinforced Shafts. - Robert Lipton 001; Tungyang Chen (SIAM J. Appl. Math., 2004)

Homogenization and Field Concentrations in Heterogeneous Media. - Robert Lipton 001 (SIAM J. Math. Anal., 2006)

Local Field Assessment inside Multiscale Composite Architectures. - Timothy Breitzman; Robert Lipton 001; Endel Iarve (Multiscale Model. Simul., 2007)

Optimal Lower Bounds on Local Stress inside Random Media. - Bacim Alali; Robert Lipton 001 (SIAM J. Appl. Math., 2009)

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems. - Ivo Babuska; Robert Lipton 001 (Multiscale Model. Simul., 2011)

Double Negative Dispersion Relations from Coated Plasmonic Rods. - Yue Chen; Robert Lipton 001 (Multiscale Model. Simul., 2013)

Uncertain loading and quantifying maximum energy concentration within composite structures. - Robert Lipton 001; Paul Sinz; Michael Stuebner (J. Comput. Phys., 2016)

Creating Band Gaps in Periodic Media. - Robert Lipton 001; Robert Viator Jr. (Multiscale Model. Simul., 2017)

Novel Metamaterial Surfaces from Perfectly Conducting Subwavelength Corrugations. - Robert Lipton 001; Anthony Polizzi; Lokendra Thakur (SIAM J. Appl. Math., 2017)

Implementation of Peridynamics utilizing HPX - the C++ standard library for parallelism and concurrency. - Patrick Diehl; Prashant K. Jha; Hartmut Kaiser; Robert Lipton 001; Martin Lévesque 002 (CoRR, 2018)

Numerical Analysis of Nonlocal Fracture Models in Hölder Space. - Prashant K. Jha; Robert Lipton 001 (SIAM J. Numer. Anal., 2018)

Multiscale-Spectral GFEM and Optimal Oversampling. - Ivo Babuska; Robert Lipton 001; Paul Sinz; Michael Stuebner (CoRR, 2019)

Peridynamics-based discrete element method (PeriDEM) model of granular systems involving breakage of arbitrarily shaped particles. - Prashant K. Jha; Prathamesh S. Desai; Robert Lipton 001 (CoRR, 2020)

A Fracture Multiscale Model for Peridynamic enrichment within the Partition of Unity Method: Part I. - Matthias Birner; Patrick Diehl; Robert Lipton 001; Marc Alexander Schweitzer (CoRR, 2021)

Quasistatic fracture evolution. - Debdeep Bhattacharya; Robert Lipton 001; Patrick Diehl (CoRR, 2022)

A fracture multiscale model for peridynamic enrichment within the partition of unity method. - Matthias Birner; Patrick Diehl; Robert Lipton 001; Marc Alexander Schweitzer (Adv. Eng. Softw., 2023)

Simulating Grain Shape Effects and Damage in Granular Media Using PeriDEM. - Debdeep Bhattacharya; Robert P. Lipton (SIAM J. Sci. Comput., 2023)

Quasistatic Evolution with Unstable Forces. - Debdeep Bhattacharya; Robert P. Lipton (Multiscale Model. Simul., 2023)

Nodal finite element approximation of peridynamics. - Prashant K. Jha; Patrick Diehl; Robert Lipton 001 (CoRR, 2024)

A Multiscale Fracture Model using Peridynamic Enrichment of Finite Elements within an Adaptive Partition of Unity: Experimental Validation. - Matthias Birner; Patrick Diehl; Robert Lipton 001; Marc Alexander Schweitzer (CoRR, 2024)