C. Armando Duarte is a Professor in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana-Champaign. Prior to joining the UIUC he was an assistant professor in the Department of Mechanical Engineering at the University of Alberta, Canada and a visiting professor in the Department of Structural Engineering at the University of Sao Paulo, Brazil. He has five years of industrial experience and has made fundamental and sustained contributions to the fields of computational mechanics and methods, in particular to development of Meshfree, Partition of Unity, and Generalized/eXtended Finite Element Methods. He proposed the first partition of unity method to solve fracture problems and pioneered the use of asymptotic solutions of elasticity equations of cracks as enrichment functions for this class of methods. His group has developed a 3-D GFEM for the simulation of hydraulic fracture propagation, interaction, and coalescence, and he has published more than 95 scientific articles and book chapters, and also co-edited 2 books on computational methods. He has papers featured on the ScienceDirect top 25 Hottest Articles of Computer Methods in Applied Mechanics and Engineering and Engineering Fracture Mechanics.
C. Armando Duarte is a Professor in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana-Champaign. Prior to joining the UIUC he was an assistant professor in the Department of Mechanical Engineering at the University of Alberta, Canada and a visiting professor in the Department of Structural Engineering at the University of Sao Paulo, Brazil. He has five years of industrial experience and has made fundamental and sustained contributions to the fields of computational mechanics and methods, in particular to development of Meshfree, Partition of Unity, and Generalized/eXtended Finite Element Methods. He proposed the first partition of unity method to solve fracture problems and pioneered the use of asymptotic solutions of elasticity equations of cracks as enrichment functions for this class of methods. His group has developed a 3-D GFEM for the simulation of hydraulic fracture propagation, interaction, and coalescence, and he has published more than 95 scientific articles and book chapters, and also co-edited 2 books on computational methods. He has papers featured on the ScienceDirect top 25 Hottest Articles of Computer Methods in Applied Mechanics and Engineering and Engineering Fracture Mechanics.
1. Introduction
2. The Finite Element Method.
3. The p-version of the Finite Element Method
4. The Generalized Finite Element Method
5. Discontinuity-enriched Finite Element Formulations
6. GFEM approximations for fractures
7. Approximations for Weak Discontinuities
8. Immerse boundary (fictitious domain) problems
9. Nonconforming mesh coupling and contact
10. Interface-enriched topology optimization
11. Stability of approximations
12. Computational aspects
13. Approximation theory for partition of unity methods
Appendix. Recollections of the origins of the GFEM
Alejandro M. Aragón is an Associate Professor in the Department of
Precision and Microsystems Engineering at Delft University of
Technology in the Netherlands. His research stands at the
intersection of engineering and computer science, with a primary
focus on pioneering novel enriched finite element methods. This
cutting-edge technology, seamlessly integrated in widely applicable
software, is leveraged to address complex engineering challenges.
Specifically, Dr. Aragón’s innovations have been employed in the
analysis and design of a diverse spectrum of (meta)materials and
structures, including biomimetic and composite materials, as well
as acoustic/elastic metamaterials, photonic/phononic crystals, and
even edible fracture metamaterials. Since 2015 he has also been
teaching advanced courses on finite element analysis at TU Delft.
Dr. Aragón boasts a strong industrial network and holds two patents
for the inventive use of acoustic/elastic metamaterials and
phononic crystals for noise attenuation.
C. Armando Duarte is a Professor in the Department of Civil and
Environmental Engineering at the University of Illinois at
Urbana-Champaign. Prior to joining the UIUC, he was an assistant
professor in the Department of Mechanical Engineering at the
University of Alberta, Canada, and a visiting professor in the
Department of Structural Engineering at the University of Sao
Paulo, Brazil. He has five years of industrial experience and has
made fundamental and sustained contributions to the fields of
computational mechanics and methods, in particular to development
of Meshfree, Partition of Unity, and Generalized/eXtended Finite
Element Methods. He proposed the first partition of unity method to
solve fracture problems and pioneered the use of asymptotic
solutions of elasticity equations of cracks as enrichment functions
for this class of methods. His group has developed a 3D GFEM for
the simulation of hydraulic fracture propagation, interaction, and
coalescence, and he has published more than 95 scientific articles
and book chapters, and also coedited 2 books on computational
methods. He has papers featured on the ScienceDirect top 25 Hottest
Articles of Computer Methods in Applied Mechanics and Engineering
and Engineering Fracture Mechanics.
Ask a Question About this Product More... |