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Talk: A Node-Based Uniform Strain Virtual Element Method for Elastoplastic Solids
On September 6, 2023, in Barcelona, Spain, Professor A. Ortiz-Bernardin gave a talk at COMPLAS 2023 regarding a combination between nodal integration techniques and the…
Read More »Talk: A Node-Based Uniform Strain Virtual Element Method for Elastic and Inelastic Small Deformation Problems
On June 2, 2022, in Ascona, Switzerland, Professor A. Ortiz-Bernardin gave a talk at CSF Workshop on Generalized Barycentric Coordinates in Computer Graphics and Computational…
Read More »Accepted Paper: A node-based uniform strain virtual element method for compressible and nearly incompressible elasticity
Paper Accepted for Publication in International Journal for Numerical Methods in Engineering A. Ortiz-Bernardin, R. Silva-Valenzuela, S. Salinas-Fernández, N. Hitschfeld-Kahler, S. Luza, B. Rebolledo, “A node-based uniform strain virtual element method…
Read More »Latest Publications
Some of our latest research efforts are tailored to devise new nodal integration techniques by combining meshfree Galerkin methods with the relatively new numerical technology offered by the Virtual Element Method. Nodal integration schemes formulated in this manner are stable and convergent by construction. In this approach, state variables such as strains, stresses, and other internal variables in nonlinear computations can be stored at the nodes just like the displacements.
Some nodal cells used in nodal integration.
Finite element graft stress for anteromedial portal, transtibial, and hybrid transtibial femoral drillings under anterior translation and medial rotation: an exploratory study Journal Article
In: Scientific Reports, vol. 14, pp. 11922, 2024.
A node-based uniform strain virtual element method for compressible and nearly incompressible elasticity Journal Article
In: International Journal for Numerical Methods in Engineering, vol. 124, no. 8, pp. 1818-1855, 2023.
POLYLLA: polygonal meshing algorithm based on terminal-edge regions Journal Article
In: Engineering with Computers, vol. 38, no. 5, pp. 4545-4567, 2022.
A novel nonlinear constitutive model for rock: numerical assessment and benchmarking Journal Article
In: Applications in Engineering Science, vol. 3, pp. 100012, 2020.
Convex Polygon Packing Based Meshing Algorithm for Modeling of Rock and Porous Media Proceedings
Computational Science – ICCS 2020. ICCS 2020. Lecture Notes in Computer Science, vol 12141. Springer, Cham, 2020.