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 sampled at the nodes. In this type of scheme, state and history-dependent variables become nodal quantities and thus in nonlinear computations they are tracked only…
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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 as follows. The meshfree approximation is independent of the definition of a finite element mesh — the approximation is constructed based solely on nodal locations….
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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 strategies that can be used to solve several scientific and engineering problems such as fracture mechanics simulations in solid mechanics, landscape representation for hydrological distributed…
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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 their mechanical behaviour, such as: hysteresis (i.e., dependency of the mechanical properties in the load history), nonlinear relations between stresses and strains (even in the…
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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 particularly important, namely stresses and strains. Even though, from an intuitive point of view, we would say that strains are ‘caused’ due to the presence…
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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 with large deformation response. Applications such as metal forming processes, kinematic response of soft biological tissues, earth moving and deep penetration in geotechnical/offshore engineering, and…
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