Development and assessment of a combined nodal integration and virtual element method for small and large deformation solid mechanics simulations
2022 – 2025 Principal Investigator: Alejandro Ortiz-Bernardin. Project funded by ANID-FONDECYT (Grant Nº 1221325) Nodal integration is a numerical integration scheme for Galerkin weak forms, where the weak form integrals are…
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Enhancing the robustness of meshfree Galerkin methods for solid mechanics simulations using the virtual element decomposition
2018 – 2021 Principal Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1181192) Meshfree methods have several attributes that make them attractive for simulation in mechanics. Two important ones are summarized…
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Improving algorithms for the generation of polygonal and polyhedral meshes
2018 – 2021 Principal Investigator: Nancy Hitschfeld-Kahler. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1181506) This project is centered on the design and implementation of novel polygonal and polyhedral meshing…
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On the use of implicit constitutive relations to model the behaviour of elastic and inelastic deformations in continua: Applications to the mathematical modelling of rock
2016 – 2020 Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1160030) Geomaterials such as rock and soil can show a plethora of nonlinear phenomena regarding…
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Study of Some New Constitutive Laws for Elastic Bodies
2012 – 2015 Principal Investigator: Roger Bustamante. Co-Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1120011) In the classical theory of continuum mechanics there are two concepts which are considered…
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Development and Assessment of An Efficient Numerical Method for Simulation of Nearly Incompressible Large Deformations Problems in Solid Mechanics
Principal Investigator: Alejandro Ortiz-Bernardin. In the era of simulation-based design, robust simulation tools are needed to efficiently analyze and accurately predict the performance of solids and structures for loadings and materials…
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