View My Publications

My publications are continuously audited and kept up-to-date on Google Scholar page. Additionally, curated lists of my publications are available on Scopus and at my ResearcherID page. Below is a list of publications, along with relevant information.

A list of my early publications on unity methods with pre-prints is also available.

List of Recent Publications

Book

• A.M. Aragon and C.A. Duarte, Fundamentals of Enriched Finite Element Methods, Elsevier, 2023.

Journal Articles

2024

• L. He, A.J. Valocchi, C.A. Duarte. An Adaptive Global-Local Generalized FEM for Multiscale Advection-Diffusion Problems, Computer Methods in Applied Mechanics and Engineering, 418:116548, 2024.

2023

• J. Garzon, C.S. Ramos, M.H.C. Bento, S.P.B. Proença, C.A. Duarte, Analysis of fractures in linear viscoelastic media using a generalized finite element method and the elastic–viscoelastic correspondence principle. Theoretical and Applied Fracture Mechanics, 124:103759, 2023.
• M.H.C. Bento, S.P.B. Proença, C.A. Duarte, Recovery strategies, a posteriori error estimation, and local error indication for second-order G/XFEM and FEM, International Journal for Numerical Methods in Engineering, 124(13):3025-3062, 2023.
• L. He, A.J. Valocchi, C.A. Duarte. A Transient Global-Local Generalized FEM for Parabolic and Hyperbolic PDEs with Multi-Space/Time Scales, Journal of Computational Physics, 488(1):112179, 2023.

2022

• N. Shauer and C.A. Duarte. A Three-Dimensional Generalized Finite Element Method for Simultaneous Propagation of Multiple Hydraulic Fractures from a Wellbore. Engineering Fracture Mechanics, 265:108360, 2022.
• M.H.C. Bento, S.P.B. Proenca, and C.A. Duarte. Well-conditioned and optimally convergent second-order Generalized/eXtended FEM formulations for linear elastic fracture mechanics, Computer Methods in Applied Mechanics and Engineering, 394:114917, 2022.
• F.M. Mukhtar, N. Shauer, and C.A. Duarte. Propagation Mechanisms and Parametric Influence in Multiple Interacting Hydraulic Fractures: A 3-D G/XFEM Hydro-Mechanical Modeling. International Journal for Numerical and Analytical Methods in Geomechanics, 46(11):2033-2059, 2022.
• H. Li, J. Avecillas-Leon, N. Shauer, and C.A. Duarte. A Non-Intrusive Iterative Generalized Finite Element Method for Multiscale Coupling of 3-D Solid and Shell Models, Computer Methods in Applied Mechanics and Engineering, 402:115408, 2022.
• F.M. Mukhtar and C.A. Duarte. Coupled multiphysics 3-D generalized finite element method simulations of hydraulic fracture propagation experiments, Engineering Fracture Mechanics, 276:108874, 2022.

2021

• B.P. Mazurowski, A.G. Sanchez-Rivadeneira, N. Shauer and C.A. Duarte. High-Order Stable Generalized/eXtended Finite Element Approximations for Accurate Stress Intensity Factors. Engineering Fracture Mechanics, 241:107308, 2021. http://dx.doi.org/10.1016/j.engfracmech.2020.107308
• Ph.D. Alves, C.A. Duarte and A. Simone. A generalized finite element method for three-dimensional static fractures in fiber-reinforced composites. Meccanica, 56(6):1441-1473, 2021.
  http://dx.doi.org/10.1007/s11012-020-01211-4
• H. Li, P. O’Hara, and C. A. Duarte. Non-intrusive Coupling of a 3-D Generalized Finite Element Method and Abaqus for the Multiscale Analysis of Localized Defects and Structural Features. Finite Elements in Analysis and Design, 193:103554, 2021. http://dx.doi.org/10.1016/j.finel.2021.103554
• A.G. Sanchez-Rivadeneira, and C.A. Duarte. A High-Order Generalized Finite Element Method for Multiscale Structural Dynamics and Wave Propagation. Computer Methods in Applied Mechanics and Engineering, 384:113934, 2021. http://dx.doi.org/10.1016/j.cma.2021.113934
• N. Shauer, K.W. Desmond, P.A. Gordon, F. Liu, and C.A. Duarte. A three-dimensional generalized finite element method for the simulation of wave propagation in fluid-filled fractures. Computer Methods in Applied Mechanics and Engineering, 306:114136, 2021. http://dx.doi.org/10.1016/j.cma.2021.114136
• B. Mazurowski, P. Gupta, P. O’Hara, and C.A. Duarte. A Displacement Correlation Method for Stress Intensity Factor Extraction from 3D Fractures in Anisotropic Materials. Engineering Fracture Mechanics, 258:108040, 2021. http://dx.doi.org/10.1016/j.engfracmech.2021.108040

2020

• A.G. Sanchez-Rivadeneira and C.A. Duarte. A Simple, First-Order, Well-Conditioned, and Optimally Convergent Generalized/eXtended FEM for Two- and Three-Dimensional Linear Elastic Fracture Mechanics. Computer Methods in Applied Mechanics and Engineering, 372:113388, 2020. http://dx.doi.org/10.1016/j.cma.2020.113388
• F.M. Mukhtar, Ph.D. Alves and C.A. Duarte. Validation of a 3-D Adaptive Stable Generalized/eXtended Finite Element Method for Mixed-Mode Brittle Fracture Propagation. International Journal of Fracture, 225:129-152, 2020.  http://dx.doi.org/10.1007/s10704-020-00469-9
• N. Shauer and C.A. Duarte. A Generalized Finite Element Method for Three-dimensional Hydraulic Fracture Propagation: Comparison with Experiments. Engineering Fracture Mechanics, 235:107098, 2020. http://dx.doi.org/10.1016/j.engfracmech.2020.107098
• A.G. Sanchez-Rivadeneira, N. Shauer, B.P. Mazurowski and C.A. Duarte. A Stable Generalized/eXtended p-hierarchical FEM for three-dimensional Linear Elastic Fracture Mechanics. Computer Methods in Applied Mechanics and Engineering, 364:112970, 2020. http://dx.doi.org/10.1016/j.cma.2020.112970

2019

• Z. Shabir, E. Van der Giessen, C.A. Duarte and A. Simone. On the applicability of linear elastic fracture mechanics scaling relations in the analysis of intergranular fracture of brittle polycrystals. International Journal of Fracture, 220(2):205-219, 2019. http://dx.doi.org/10.1007/s10704-019-00381-x
• N. Shauer and C.A. Duarte. Improved algorithms for Generalized Finite Element simulations of three-dimensional hydraulic fracture propagation. International Journal for Numerical and Analytical Methods in Geomechanics, 43(18):2707-2742, 2019. http://dx.doi.org/10.1002/nag.2977
• R.M. Lins, S.P.B. Proença, and C.A. Duarte. Efficient and Accurate Stress Recovery Procedure and A-Posteriori Error Estimator for the Stable Generalized/Extended Finite Element Method. International Journal for Numerical Methods in Engineering, 119(12):1279-1306, 2019. http://dx.doi.org/10.1002/nme.6091
• H. Li, P. O’Hara, and C.A. Duarte. A Two-Scale Generalized FEM for the Evaluation of Stress Intensity Factors at Spot Welds Subjected to Thermomechanical Loads. Engineering Fracture Mechanics, 213:21-52,  2019. http://dx.doi.org/10.1016/j.engfracmech.2019.03.027
• A.G. Sanchez-Rivadeneira and C.A. Duarte. A Stable Generalized/eXtended FEM with Discontinuous Interpolants for Fracture Mechanics. Computer Methods in Applied Mechanics and Engineering, 345:876-918, 2019. https://dx.doi.org/10.1016/j.cma.2018.11.018

2018

• H. Li and C.A. Duarte. A Two-Scale Generalized Finite Element Method for Parallel Simulations of Spot Welds in Large Structures. Computer Methods in Applied Mechanics and Engineering, 337:28-65, 2018. https://dx.doi.org/10.1016/j.cma.2018.03.030
• T.B. Fillmore, V. Gupta, and C.A. Duarte. Preconditioned Conjugate Gradient Solvers for the Generalized Finite Element Method. In M. Griebel and M.A. Schweitzer, editors, Proceedings of Meshfree Methods for Partial Differential Equations IX, Lecture Notes in Computational Science and Engineering, Springer, Berlin, 2018.
• T.B. Fillmore and C.A. Duarte A Hierarchical Non-Intrusive Algorithm for the Generalized Finite Element Method. Advanced Modeling and Simulation in Engineering Sciences, 5(1), 2018.
• P. Gupta and C.A. Duarte. Coupled Hydromechanical-Fracture Simulations of Nonplanar Three-Dimensional Hydraulic Fracture Propagation. International Journal for Numerical and Analytical Methods in Geomechanics, 42(1):143-180, 2018.

2017

• P. Gupta, C.A. Duarte, and A. Dhankhar. Accuracy and Robustness of SIF Extraction Methods for the Generalized/eXtended Finite Element Method. Engineering Fracture Mechanics, 179:120-153, 2017.
• J. Kim, A. Simone, and C.A. Duarte. Mesh refinement strategies without mapping of non-linear solutions for the generalized and standard FEM analysis of 3-D cohesive fractures. International Journal for Numerical Methods in Engineering, 109(2):235-258, 2017. Abaqus input files used in the paper and sample results.

2016

• P. O’Hara, J. Hollkamp, C.A. Duarte and T. Eason. A Two-Scale Generalized Finite Element Method for Interaction and Coalescence of Multiple Crack Surfaces. Engineering Fracture Mechanics, 163:274-302, 2016.
• V. Gupta and C.A. Duarte. On the Enrichment Zone Size for Optimal Convergence Rate of the Generalized/Extended Finite Element Method. Computers and Mathematics with Applications, 72:481-493, 2016.
• J.A. Plews and C.A. Duarte. A two-scale generalized finite element approach for modeling localized thermoplasticity. International Journal for Numerical Methods in Engineering, 108(10):1123-1158, 2016.
• P. O’Hara, J. Hollkamp, C.A. Duarte, and T. Eason, A Two-Scale Generalized Finite Element Method for Fatigue Crack Propagation Simulations Utilizing a Fixed, Coarse Hexahedral Mesh. Computational Mechanics, 57(1):55-74, 2016.
• P. Gupta and C.A. Duarte. Coupled Formulation and Algorithms for the Simulation of Non-Planar Three-Dimensional Hydraulic Fractures Using the Generalized Finite Element Method. International Journal for Numerical and Analytical Methods in Geomechanics, 40(10):1402-1437, 2016.

2015

• R.M. Lins, M.D.C. Ferreira, S.P.B. Proença and C.A. Duarte, An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method. Computational Mechanics, 56(6):947-965, 2015.
• J. Kim and C.A. Duarte. A New Generalized Finite Element Method for Two-Scale Simulations of Propagating Cohesive Fractures in 3-D, International Journal for Numerical Methods in Engineering, 104(13):1139-1172,  2015.
• J.A. Plews and C.A. Duarte. Generalized Finite Element Approaches for Analysis of Localized Thermo-Structural Effects, International Journal for Numerical Methods in Engineering, 104(6):408-438, 2015.
• D.-J. Kim, S.-G. Hong and C.A. Duarte. Generalized Finite Element Analysis Using the Preconditioned Conjugate Gradient Method. Applied Mathematical Modelling, 39(19):5837-5848, 2015.
• V. Gupta, C.A. Duarte, I. Babuska and U. Banerjee. Stable GFEM (SGFEM): Improved Conditioning and Accuracy of GFEM/XFEM for Three-Dimensional Fracture Mechanics. Computer Methods in Applied Mechanics and Engineering, 289:355-386, 2015.
• S. Soghrati, C.A. Duarte and Ph.H. Geubelle. An Adaptive Interface-enriched Generalized Finite Element Method for the Treatment of Problems with Curved Interfaces. International Journal for Numerical Methods in Engineering, 102(6):1352-1370, 2015.
• J.A. Plews and C.A. Duarte. Bridging Multiple Structural Scales with a Generalized Finite Element Method. International Journal for Numerical Methods in Engineering, 102(3-4):180-201, 2015.

2014

• P. Gupta and C.A. Duarte. Simulation of Non-Planar Three-Dimensional Hydraulic Fracture Propagation. International Journal for Numerical and Analytical Methods in Geomechanics, 38:1397-1430, 2014.
• M. Malagu, E. Benvenuti, C.A. Duarte, and A. Simone. One-dimensional nonlocal and gradient elasticity: Assessment of high order approximation schemes. Computer Methods in Applied Mechanics and Engineering, 275, 138–158, 2014.
• J. Garzon, P. O’Hara, C.A. Duarte, and W.G. Buttlar.  Improvements of Explicit Crack Surface Representation and Update within the Generalized Finite Element Method with Application to Three-Dimensional Crack Coalescence, International Journal for Numerical Methods in Engineering, 97(4), 231–273, 2014.

2013

• V. Gupta, C.A. Duarte, I. Babuska and U. Banerjee.  A Stable and Optimally Convergent Generalized FEM (SGFEM) for Linear Elastic Fracture Mechanics, Computer Methods in Applied Mechanics and Engineering, 266:23-39, 2013.

• F.E. Junior and J. Roesler and C.A. Duarte. Two-Scale Approach to Predict Multi-Site Cracking Potential in 3-D Structures Using the Generalized Finite Element Method. International Journal of Solids and Structures, 50(13):1991-2002, 2013.

• F.B. Barros, C.S. Barcellos, C.A. Duarte, and D.A.F. Torres. Subdomain-Based Error Techniques for GFEM Approximations of Problems with Singular Stress Fields. Computational Mechanics, 52(6), 1395-1415, 2013.

• H. Wang, H. Ozer, I.L. Al-Qadi and C.A. Duarte. Analysis of Near-Surface Cracking under Critical Loading Conditions Using Uncracked and Cracked Pavement Models. ASCE Journal of Transportation Engineering, 139(10), 992–1000, 2013.

• J. Garzon, C.A. Duarte, and J.P. Pereira. Extraction of Stress Intensity Factors for the Simulation of 3-D Crack Growth with the Generalized Finite Element Method. Key Engineering Materials, special issue on Advances in Crack Growth Modelling, 560:1-36, 2013.

• P. O’Hara, C.A. Duarte, T. Eason, and J. Garzon. Efficient Analysis of Transient Heat Transfer Problems Exhibiting Sharp Thermal Gradients.  Computational Mechanics, 51(5):743-764, 2013.

• V. Gupta, D.-J. Kim, and C.A. Duarte. Extensions of the two-scale generalized finite element method to nonlinear fracture problems. International Journal for Multiscale Computational Engineering, 11(6):581-596, 2013.

• J. Garzon, D.-J. Kim, C.A. Duarte, and W. Buttlar. Two-Scale Three-Dimensional Analysis of  Reflective Cracks in Airfield Pavements, International Journal of Computational Methods, 10(6), 2013.

2012

• F. Evangelista Jr., J.R. Roesler, and C.A. Duarte. Prediction of Potential Cracking Failure Modes in Three-Dimensional Airfield Rigid Pavements with Existing Cracks and Flaws. Transportation Research Record: Journal of the Transportation Research Board, 2266:11-19, 2012.

• V. Gupta, D.-J. Kim, and C.A. Duarte. Analysis and Improvements of Global-Local Enrichments for the Generalized Finite Element Method, Computer Methods in Applied Mechanics and Engineering, 245-246:47-62, 2012.

• P. Gupta, J.P. Pereira, D.-J. Kim, C.A. Duarte, and T. Eason. Analysis of three-dimensional fracture mechanics problems: A non-intrusive approach using a generalized finite element method, Engineering Fracture Mechanics, 90:41-64, 2012.

• J. Plews and C.A. Duarte and T. Eason. An Improved Non-Intrusive Global-Local Approach for Sharp Thermal Gradients in a Standard FEA Platform, International Journal for Numerical Methods in Engineering, 91(4):426-449, 2012. Pre-print

• D.-J. Kim, C.A. Duarte, and S.P. Proenca. A Generalized Finite Element Method with Global-Local Enrichment Functions for Confined Plasticity Problems, Computational Mechanics, 50(5):563-578, 2012.

• J.P. Pereira. D.-J. Kim and C.A. Duarte. A Two-Scale Approach for the Analysis of Propagating Three-Dimensional Fractures, Computational Mechanics, 49(1):99-121, 2012. Pre-print.

• S. Soghrati, A.M. Aragon, C.A. Duarte, and P.H. Geubelle. An interface-enriched generalized finite element method for problems with discontinuous gradient fields, International Journal for Numerical Methods in Engineering, 89:991-1008, 2012. Pre-print (low resolution).

• H. Ozer, C.A. Duarte, and I.L. Al-Qadi. Formulation and Implementation of a High-Order 3-D Domain Integral Method for the Extraction of Energy Release Rates, Computational Mechanics, 49:459-476, 2012. Pre-print.

2011

• Z. Shabir, E. Van der Giessen, C. A. Duarte, and A. Simone. The role of cohesive properties on intergranular crack propagation in brittle polycrystals. Modelling and Simulation in Materials Science and Engineering, 19(3):035006, 2011. Pre-print.

• H. Ozer, I.L. Al-Qadi and C.A. Duarte.  A three-dimensional generalized finite element analysis for the near-surface cracking problem in flexible pavements International Journal of Pavement Engineering, 12(4):407-419, 2011.

• H. Ozer, I.L. Al-Qadi and C.A. Duarte. The Effects of Non-Uniform and Three-Dimensional Contact Stresses on the Near-Surface Cracking Problem. Transportation Research Record: Journal of the Transportation Research Board, No. 2210, 4:97-105, 2011.

• P. O’Hara, C.A. Duarte, and T. Eason. Transient Analysis of Sharp Thermal Gradients Using Coarse Finite Element Meshes. Computer Methods in Applied Mechanics and Engineering, 200(5-8):812-829, 2011. Pre-print.

• D.-J. Kim, C.A. Duarte, and N.A. Sobh. Parallel Simulations of Three-dimensional Cracks Using the Generalized Finite Element Method. Computational Mechanics, 47(3):265-282, 2011. Pre-print.

2010

• J. Garzon, C.A. Duarte, and W. Buttlar. Analysis of Reflective Cracks in Airfield Pavements Using a 3-D Generalized Finite Element Method. Road Materials and Pavement Design, 11(2):459-477, 2010. Pre-print.

• P. O’Hara, C.A. Duarte, and T. Eason. Investigation of Allowable Time-Step Sizes for Generalized Finite Element Analysis of the Transient Heat Equation. Interaction and Multiscale Mechanics, an International Journal, 3(3): 235-255, 2010. Pre-print.

• J.P. Pereira, C.A. Duarte and X. Jiao. Three-dimensional crack growth with hp-generalized finite element and face offsetting methods. Computational Mechanics, 46(3):431-453, 2010. Pre-print.

• A.M. Aragon, C.A. Duarte, and Ph.H. Geubelle. Generalized finite element enrichment functions for discontinuous gradient fields. International Journal for Numerical Methods in Engineering, 82(2):242-268, 2010, Pre-print.

• D.-J. Kim, J. P. Pereira, and C.A. Duarte. Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse generalized FEM meshes. International Journal for Numerical Methods in Engineering, 81(3):335-365, 2010. Pre-print.

2009

• J.P. Pereira, C.A. Duarte, X. Jiao and D. Guoy. Generalized finite element method enrichment functions for curved singularities in 3D fracture mechanics problems. Computational Mechanics, 44(1):73-92, 2009. Pre-print.

• K. Park, J.P. Pereira, C.A. Duarte, and G.H. Paulino. Integration of Singular Enrichment Functions in the Generalized/Extended Finite Element Method for Three-Dimensional Problems. International Journal for Numerical Methods in Engineering, 78(10):1220–1257, 2009. Pre-print.

• P. O’Hara, C.A. Duarte, and T. Eason. Generalized Finite Element Analysis of Three-Dimensional Heat Transfer Problems Exhibiting Sharp Thermal Gradients. Computer Methods in Applied Mechanics and Engineering, 198(21-26):1857-1871, 2009. Pre-print. This paper was featured on the ScienceDirect Top 25 Hottest Articles.
• J.P. Pereira, C.A. Duarte, D. Guoy and X. Jiao. Hp Generalized FEM and crack surface representation for non-planar 3-D cracks. International Journal for Numerical Methods in Engineering, 77(5):601-633, 2009. Pre-print.
• P.T. Mendonca, C.S. Barcellos, and C.A. Duarte. A Ck continuous generalized finite element formulation applied to Kirchhoff plate model, Computational Mechanics, 44(3):377-393, 2009.

2008

• D.-J. Kim, C.A. Duarte, and J. P. Pereira. Analysis of interacting cracks using the generalized finite element method with global-local enrichment functions. ASME Journal of Applied Mechanics. 75(5), 12 pages, 2008. Pre-print.

• C. A. Duarte and D.-J. Kim. Analysis and applications of a generalized finite element method with global-local enrichment functions. Computer Methods in Applied Mechanics and Engineering 197(6-8):487-504, 2008. Pre-print.

2007

• F. B. Barros, C. S. Barcellos, and C. A. Duarte. p-Adaptive Ck generalized finite element method for arbitrary polygonal clouds. Computational Mechanics, 41(1):175–187, 2007.

• C. A. Duarte, L. G. Reno, and A. Simone. A high-order generalized fem for through-the-thickness branched cracks. International Journal for Numerical Methods in Engineering, 72(3):325-351, 2007. Pre-print.

• C. A. Duarte, T. J. Liszka, and W.W. Tworzydlo. Clustered generalized finite element methods for non-matching meshes, invalid meshes and mesh unrefinement. International Journal for Numerical Methods in Engineering, 69(11):2409-2440, 2007. Pre-print.

2006

• C. A. Duarte, D.-J. Kim, and D. M. Quaresma. Arbitrarily smooth generalized finite element approximations. Computer Methods in Applied Mechanics and Engineering, 196:33–56, 2006. Pre-print.

• A. Simone, C. A. Duarte, and E. van der Giessen. A generalized finite element method for polycrystals with discontinuous grain boundaries. International Journal for Numerical Methods in Engineering, 67(8):1122–1145, 2006. Pre-print.

• J.P. Pereira and C.A. Duarte. The contour integral method for loaded cracks. Communications in Numerical Methods in Engineering, 22(5):421–432, 2006. Pre-print.

Technical Reports

• C. A. Duarte, D. Q. Migliano, and E. B. Becker. A technique to combine meshfree and finite-element-based partition of unity approximations. Structural Research Series 638, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, May 2005. ISSN-0197-9191.

• C. A. Duarte, T. J. Liszka, W. W. Tworzydlo, and T. A. Westermann. The generalized finite element method – improving finite elements through meshless technology. Structural Research Series 639, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, May 2005. ISSN-0197-9191.

Book Chapters

• J. Garzon, V. Gupta, A. Simone, and C.A. Duarte. Bridging scales with a generalized finite element method. In Procedia IUTAM. Symposium on Linking Scales in Computations: from Microstructure to Macro-scale Properties, 3:172-191, 2012. Pre-print.

• Duarte, C.A., D.-J. Kim and I. Babuska, “A Global-Local Approach for the Construction of Enrichment Functions for the Generalized Fem and its Application to Three- Dimensional Cracks,” in Advances in Meshless Methods, (V.M.A. Leitao, C. J. S. Alves, and C.A. Duarte, eds.), Computational Methods in Applied Sciences, Springer, 2007.

Other Publications

• Duarte, C.A. Comments on the paper by B.E. Grossman-Ponemon, L.M. Keer, and A.J. Lew “A method to compute mixed-mode stress intensity factors for nonplanar cracks in three dimensions” (Int. J. Numer. Methods Eng., 2020). Int. J. Numer. Methods Eng., 122(13): 3323-3326, 2021. Pre-print.