In a nutshell

During the last few years, I have gained scientific and research expertise in several fields of applied mathematics. In particular, two areas have caught my attention.

The first is related to the modeling of composite materials, which represents one of the motivations of my PhD thesis and first postdoctoral work. I exploited the potential of homogenization methods and studied the macroscopic effective response of real-world heterogeneous structures. These approaches were not only devoted to analytical solutions but also to numerical implementations by means of Matlab scripts, the finite element software Comsol Multiphysics and an home-made Python library for homogenization. As a result, the research work led to publications in high impact journals and the presentation of the results at international conferences as well.

The second area of focus, which I have been working on recently, is the emerging discipline of Scientific Machine Learning (SciML). Inspired by the era of big data, recent advances in AI/ML provide powerful tools that allow us to achieve important results in various scientific fields, including Physics and Engineering Sciences. The primary goal of this research project is to employ SciML methods to predict the early-stage evolution of thoracic aortic pathologies. During this period, I have gained not only research experience but also industry knowledge of the ML lifecycle.

Achievements in numbers:

• 11 articles, 1 preprint, 2 chapters in books, 7 conference proceedings
• 30+ events: conferences, congresses, symposiums, workshops & seminars.

Preprints

O.L. Cruz-González, V. Deplano, B. Ghattas. Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and DeepONets. Submitted.

Articles

1. O.L. Cruz-González, R. Cornaggia, S. Dartois, R. Brenner (2024). Accounting for spatial distribution in mean-field homogenization of particulate composites. International Journal of Solids and Structures 294, 112747.

2. O.L. Cruz-González, R. Rodríguez-Ramos, F. Lebon, F.J. Sabina (2022). Modeling of imperfect viscoelastic interfaces in composite materials. Coatings, 12(5), 705.

3. T. Dora Pallicitya, O.L. Cruz-González, J.A. Otero, R. Rodríguez-Ramos (2022). Effective Behavior of Viscoelastic Composites: Comparison of Laplace-Carson and Time Domain Mean-Field Approach. Archive of Applied Mechanics.

4. O.L. Cruz-González, A. Ramírez-Torres, R. Rodríguez-Ramos, R. Penta, F. Lebon (2022). Hierarchical heterogeneous one-dimensional problem in linear viscoelastic media. European Journal of Mechanics - A/Solids.

5. O.L. Cruz-González, A. Ramírez-Torres, R. Rodríguez-Ramos, J.A. Otero, R. Penta, F. Lebon (2021). Effective behavior of long and short fiber-reinforced viscoelastic composites. Applications in Engineering Science 6, 100037.

6. O.L. Cruz-González, R. Rodríguez-Ramos, J.A. Otero, A. Ramírez-Torres, R. Penta, F. Lebon (2020). On the effective behavior of viscoelastic composites in three dimensions. International Journal of Engineering Science 157, 103377.

7. J.A. Otero, R. Rodríguez-Ramos, R. Guinovart-Díaz, O.L. Cruz-González, F.J. Sabina, H. Berger, T. B"ohlke (2020). Asymptotic and numerical homogenization methods applied to fibrous viscoelastic composites using Prony’s series. Acta Mechanica volume 231, 2761–2771.

8. O.L. Cruz-González, A. Ramírez-Torres, R. Rodríguez-Ramos, R. Penta, J. Bravo-Castillero, R. Guinovart-Díaz, J. Merodio, F.J. Sabina, F. Lebon (2020). A hierarchical asymptotic homogenization approach for viscoelastic composites. Mechanics of Advanced Materials and Structures.

9. R. Rodríguez-Ramos, J.A. Otero, O.L. Cruz-González, R. Guinovart-Díaz, J. Bravo-Castillero, F.J. Sabina, P. Padilla, F. Lebon, I. Sevostianov (2020). Computation of the relaxation effective moduli for fibrous viscoelastic composites using the asymptotic homogenization method. International Journal of Solids and Structures, 190, 281–290.

10. O.L. Cruz-González, D. Guinovart-Sanjuán, R. Rodríguez-Ramos, J. Bravo-Castillero, R. Guinovart-Díaz, J. Merodio, R. Penta, J.A. Otero, S. Dumont, F. Lebon, F.J. Sabina (2019). An approach for modeling non-ageing linear viscoelastic composites with general periodicity. Composite Structures, 223, 110927.

11. O.L. Cruz-González, R. Rodríguez-Ramos, J. Bravo-Castillero, R. Martínez-Rosado, R. Guinovart-Díaz, J.A. Otero, F.J. Sabina (2017). Effective viscoelastic properties of one-dimensional composites. American Research Journal of Physics; V3, I1; pp: 1-17.

Peer reviewed chapters in books

1. R. Rodríguez-Ramos, A. Ramírez-Torres, J. Bravo-Castillero, R. Guinovart-Díaz, D. Guinovart-Sanjuán, O.L. Cruz-González, F.J. Sabina, J. Merodio, R. Penta (2020) Multiscale Homogenization for Linear Mechanics. In: Merodio J., Ogden R. (eds) Constitutive Modelling of Solid Continua. Solid Mechanics and Its Applications, vol 262. Springer, Cham.

2. Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, José A. Otero, Julián Bravo-Castillero, Raúl Guinovart-Díaz, Raúl Martínez-Rosado, Federico J. Sabina, Serge Dumont, Frederic Lebon, and Igor Sevostianov. (2018) Viscoelastic effective properties for composites with rectangular cross-section fibers using the asymptotic homogenization method. In: Altenbach H., Pouget J., Rousseau M., Collet B., Michelitsch T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham.

Publications in proceedings with reviews

1. SB2025-Marseille: 50ème Congrès de la Société de Biomécanique. October 27-29, 2025. Marseille, France. Oscar L. Cruz-González, Valérie Deplano, Badih Ghattas. Physics-Informed Deep Learning Surrogates for Aneurysm Blood Flow Simulation. Proceedings of the conference.

2. ICIRASTE’2021-The International Conference on Interdisciplinary Research in Applied Sciences, Technologies and Engineering. June, 5-6, 2021. Sbeitla-Kasserine, Tunisia. Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon. *Evaluation of the effective viscoelastic properties of short fibers reinforced composites**. Proceedings of the conference.

3. 5th Brazilian Conference on Composite Materials-BCCM 5. January, 18-22, 2021. V. Tita, J. R. Tarpani and M. L. Ribeiro (Editors). Sao Carlos School of Engineering – University of Sao Paulo, Brazil. Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon. *Overall viscoelastic properties of fiber-reinforced hierarchical composites**. Proceedings of the conference.

4. JNC 21: Journées Nationales sur les Composites. July 1-3, 2019. Bordeaux, France. Oscar L. Cruz-González, Ariel Ramírez-Torres, Reinaldo Rodríguez-Ramos, Frederic Lebon. Homogénéisation triple échelle de matériaux composites viscoélastiques. Proceedings of the conference.

5. COMPUMAT. November 22-24, 2017. Universidad Tecnológica de La Habana, Cuba. Oscar L. Cruz González, Reinaldo Rodríguez Ramos, José A. Otero, Federico J. Sabina, Propiedades efectivas viscoelásticas de un material compuesto reforzado con fibras. ISBN: 978-959-261-562-5.

6. IV International scientific-practical conference on applied aspects of Geology, Geophysics and Geoecology with the use of contemporary technological informations. May 15-18, 2017. Maykop, Republic of Adygea, Russia. Proceedings of the conference Part I, p. 10-20, 258 pages. ISBN 978-5-906696-84-7, ISBN 978-5-906696-85-4. Oscar L. Cruz-González, J. A. Otero, R. Rodríguez-Ramos, R. Guinovart-Días, J. Bravo-Castilleros. Computation of the effective properties of viscoelastic composite materials.

7. VIII International Scientific Convention “Integrated and Innovative University”, CIUM. April 10-14, 2017. Varadero, Matanzas, Cuba. Proceedings of the conference, ISBN 978-959-16-3296-8. Oscar L. Cruz-González. Facial Recognition.

Conferences | Congresses | Symposiums | Workshops | Seminars

2025

• (Conference) SB2025-Marseille: 50ème Congrès de la Société de Biomécanique. October 27-29, 2025. Marseille, France.

• (Workshop) XIX Taller de Física de la Materia Condensada y Molecular. June 23-25, 2025. Cuernavaca, Morelos, México. Speaker: O.L. Cruz González. Deep Learning for Hemodynamics in Aortic Aneurysms. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

• (Seminar) Internal presentation at AMSE. May 07, 2025. Marseille, France. Speaker: O.L. Cruz González. A Primer on (PI-)DeepONets. A Case Study in Hemodynamics. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

2024

• (Seminar) Presentation at the ML Group IRPHE. December 06, 2024. Marseille, France. Speaker: O.L. Cruz González. Introduction to (PI-)DeepONets. Applications in Vascular Flow Simulations. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

• (Workshop) AI and Physical Sciences @AMU. November 12, 2024. Marseille, France. Speaker: O.L Cruz-González. On Physics-Informed Neural Networks and DeepONet for Vascular Flow Simulations in Aortic Aneurysms. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

• (Seminar) Scientific animation axis 4 at IRPHE: Living environments, biological systems. July 09, 2024. Marseille, France. Speaker: O.L. Cruz González. Substitution of numerical fluid mechanics models by deep learning models. Applications to vascular pathologies. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

• (Conference) European Mechanics of Materials Conferences - EMMC 19. May 29-31, 2024. Madrid, Spain. Speaker: Rémi Cornaggia. ID:270 - Accounting for spatial distribution in mean-field homogenization of particulate composites. Authors: Oscar Luis Cruz-González, Rémi Cornaggia, Sophie Dartois and Renald Brenner.

• (Workshop) GdR I-GAIA - Physics Informed Learning. March 14, 2024. Arts et Métiers Paris, France. Attendee. Program

• (Seminar) Internal presentation at IRPHE. February 06, 2024. Marseille, France. Speaker: O.L. Cruz González. Physics-Informed Neural Networks Applied to Solid and Fluid Mechanics Problems. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

• (Seminar) Internal presentation at AMSE. January 29, 2024. Marseille, France. Speaker: O.L. Cruz González. Physics-Informed Neural Networks. An Introduction. Authors: Oscar L. Cruz González, Valérie Deplano, Badih Ghattas.

2023

• (Seminar) Presentation at the Basque Center for Applied Mathematics. December, 13th, 2023. Speaker: Reinaldo Rodríguez-Ramo. Multiscale homogenization of viscoelastic composite materials. Combined approach based on deep neural networks. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, F. Lebon. Bilbao.

• (Workshop) GdR I-GAIA : Ingénierie augmentée par la donnée, l’apprentissage et l’IA. November 27-29, 2023. Arts et Métiers ParisTech, Paris, France. Poster presentation. Program

• (Symposium) V Simpósio de Engenharia Metalúrgica e de Materiais - SEMMat. October 18-20, 2023. Speaker: Reinaldo Rodríguez-Ramo. Modelagem matemática e computacional de materiais compósitos (MMCMC). Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, F. Lebon, P. Rodríguez-Bermúdez, J. A. Otero, A. Ramírez-Torres, R. Penta, Y. Espinosa Almeyda e J. Rodríguez-Durán. Universidade Federal Fluminense.

• (Workshop) Décimo Séptimo Taller de Física de la Materia Condensada y Molecular. June 26-28, 2023. Speaker: Reinaldo Rodríguez-Ramo. Imperfect interfaces in viscoelastic composite materials. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, F. Lebon, Y. Espinosa-Almeyda, H. Camacho-Montes, P. Rodríguez-Bermúdez, José A. Otero. Universidad Autónoma del Estado de Morelos.

2022

• (Workshop) fft-workshop-22 : Introduction to FFT-based numerical methods for the homogenization of random materials. March 14-18, 2022. Champs-sur-Marne, Paris, France.

• (Seminar) Team MISES, Institut Jean Le Rond d’Alembert, Sorbonne University. September 13, 2022. Speaker: Oscar L. Cruz González. Characterizing short-fiber composites using advanced micro-mechanical models. Authors: Oscar L. Cruz-González, Rémi Cornaggia, Sophie Dartois, Renald Brenner.

• (Congress) 9th Metropolitan Congress on Numerical Modeling and Simulation. May 4-6, 2022. Speaker: Reinaldo Rodríguez-Ramo. Study of imperfect interfaces in viscoelastic composite materials. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

2021

• (Seminar) Séminaire Jeunes Chercheurs. July 13, 2021. Laboratoire de Mécanique et d’Acoustique-LMA, Marseille, France. Speaker: O.L. Cruz-González. A hierarchical asymptotic homogenization approach for the analysis of the effective mechanical behavior of viscoelastic composite materials. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

• (Workshop) MISTRAL: Homogenization methods. First internal workshop of the joint laboratory. June 9, 2021. IUT d’Aix-en-Provence Amphi Est, Marseille, France. Speaker: O.L. Cruz-González. Semi-analytical approach for the homogenization of viscoelastic composite materials. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

• (Conference) ICIRASTE’2021. June 5-6, 2021. Speaker: O.L. Cruz-González. *Evaluation of the effective viscoelastic properties of short fibers reinforced composites. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

• (Conference) SIAM Conference on Mathematical Aspects of Materials Science-MS 21. Minisymposium “Multi-scale modelling in Biomechanic” (MS67). May 17-27, 2021. Virtual. Speaker: O.L. Cruz-González. Multi-scale Homogenization of Hierarchical Viscoelastic Composites. Authors: Oscar L. Cruz-González, R. Rodríguez-Ramos, A. Ramírez-Torres, R. Penta, F. Lebon.

• (Conference) 2nd International Conference on Theoretical, Analytical and Computational Methods for Composite Materials and Composite Structures-ICOMP2021. March 5-7, 2021. Online attendance. Speaker: O.L. Cruz-González. On the Imperfect Interfaces in Viscoelastic Composite Materials. Authors: Oscar L. Cruz-González, R. Rodríguez-Ramos, F. Lebon.

• (Conference) 5th Brazilian Conference on Composite Materials. January 18-22, 2021.

  • Keynotes: Prof. Reinaldo Rodriguez Ramos. A semi-analytical approach to describe the effective behavior of viscoelastic composites. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, J. A. Otero, F. Lebon. Collaborators: A. Ramírez-Torres, R. Penta.

  • Speaker: O.L. Cruz-González. Overall viscoelastic properties of fiber-reinforced hierarchical composites. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

2020

• (Seminar) Applied Mathematics online seminar series programmed by the School of Mathematics and Statistics from University of Glasgow. October 15, 2020. Speaker: Prof. Reinaldo Rodríguez Ramos. Overall properties of linear viscoelastic composites. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, J.A. Otero, F. Lebon.

• (Seminar) Seminario de Investigación de la Escuela de Ingeniería y Ciencias programmed by the Instituto Tecnológico y de Estudios Superiores de Monterrey. October, 2020. Puebla, Mexico. Speaker: Prof. Reinaldo Rodríguez Ramos. Cálculo de propiedades efectivas de materiales compuestos viscoelásticos. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, J.A. Otero, F. Lebon, A. Ramírez-Torres, R. Penta.

• (Symposium) Journée des Doctorants du Laboratoire de Mécanique et d’Acoustique. November 26, 2020. Speaker: Oscar L. Cruz-González. Marseille, France.

• (Seminar) International Seminar of Mathematical Modeling programmed by the Institute of Applied Mathematics and Systems (IIMAS), from Universidad Nacional Autónoma de México with the collaboration of Instituto Tecnológico y de Estudios Superiores de Monterrey. September 30, 2020. Speaker: Oscar L. Cruz González. Homogenization of viscoelastic composites. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Frederic Lebon.

2019

• (Seminar) Presentation at the Institute of Mechanics of Otto von Guericke University Magdeburg. Speaker: Prof. Reinaldo Rodríguez Ramos (Faculty of Mathematics and Computer Science, University of Havana). Prediction of macroscopic viscoelastic properties in heterogeneous media. Applications. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, F. Lebon. December 11, 2019. Contact person: Dr. Harald Berger.

• (Seminar) Presentation at Karlsruhe Institute of Technology (KIT). Speaker: Prof. Reinaldo Rodríguez Ramos (Faculty of Mathematics and Computer Science, University of Havana). Three scale asymptotic homogenization method for viscoelastic heterogeneous media. Applications. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, F. Lebon. December 4, 2019. Contact person: Thomas Böhlke (Speaker).
  

• (Symposium) Journée des Doctorants du Laboratoire de Mécanique et d’Acoustique. December 4, 2019. Speaker: Oscar L. Cruz-González. Marseille, France.

• (Conference) JNC 21: Journées Nationales sur les Composites. July 1-3, 2019. Bordeaux, France. Poster presentation: Oscar L. Cruz-González.

2018

• (Symposium) Journée des Doctorants du Laboratoire de Mécanique et d’Acoustique. November 28, 2018. Speaker: Oscar L. Cruz-González. Marseille, France.

• (Conference) 4th International Conference on Mechanics of Composites Universidad Carlos III de Madrid, Spain (Puerta de Toledo Campus). July 9-12, 2018. Plenary Lectures: Prof. Reinaldo Rodriguez Ramos. Mathematical modeling of non-ageing linear viscoelastic composites with general periodicity. Authors: R. Rodríguez-Ramos, Oscar L. Cruz-González, D. Guinovart-Sanjuán, J. A. Otero, J. Bravo-Castillero, R. Guinovart-Díaz, S. Dumont, F. Lebon, F.J. Sabina.

• (Seminar) Seminar of Scientific Initiation programmed by the Department of Mathematics and Statistics of the National University of Colombia Sede Manizales. March 5, 2018. Speakers: Prof. Reinaldo Rodríguez Ramos and Oscar L. Cruz González. Effective properties of non-aging quasi-periodic, linear viscoelastic composites. Examples.

2017

• (Congress) XV International Congress COMPUMAT. Technological University of Havana “José Antonio Echeverría”,November 22-24, 2017. Havana, Cuba.

• (Workshop) II International Workshop of Didactic and Application of the Basic Science. University of Matanzas. Speaker: Oscar L. Cruz-González. Facial Recognition. April, 2017. Matanzas, Cuba.

2016

• (Symposium) JCE. Faculty of Mathematics and Computer Sciences. University of Havana. Speaker: Oscar L. Cruz-González. April, 2016. Havana, Cuba.
  • Método de Homogeneización asintótica en una dimensión para materiales viscoelásticos. Authors: Oscar L. Cruz-González, Reinaldo Rodríguez-Ramos, Raúl Guinovart-Díaz, Julián Bravo-Castillero. Mention award.
  • Reconocimiento Facial. Valores y Vectores Propios. Authors: Oscar L. Cruz-González, Marta L. Baguer Díaz-Romañach. Outstanding award.

Professional Affiliations

Affiliated Member. REsearch Group on multiphysics Imperfect Interfaces (REGII)
An international group founded in 2024 to promote the multidisciplinary modeling, simulation, and characterization of imperfect interfaces.
July 2025 – Present