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An efficient reduced-order model for inelastic discrete truss networks
We aim to capture the full nonlinear, inelastic material behavior in lattices. For that purpose we require an advanced beam model that is capable of mapping these elastic-plastic deformations.
Keywords: metamaterials, trusses, lattices, separation of scales, generalized continuum model, failure, mechanics, solid mechanics, modeling,inelastic material behaviour, plasticity
Trusses, assembled in a periodic manner or hierarchical fashion, have proven advantageous across multiple length scales, owing to the flexibility in selecting their architecture and, in turn, the opportunities in controlling the effective mechanical properties of the resulting truss networks. By manipulating the truss topology, the geometry of individual truss members, as well as the selection of base materials,
trusses have enabled the creation of (meta)materials whose properties cover broad ranges in the material property space. A reliable computational description of large-scale truss lattices depends strongly on an accurate mechanical description of individual beam elements, especially when considering the elastic-plastic response going far beyond the elastic behavior and up to failure.
This project focuses on the development of an efficient reduced-order model for beams undergoing inelastic deformation. The generally nonlinear, inhomogeneous stress-strain distribution across the beam cross-section is described by a decomposition into multiple surfaces to analyze the elastic-plastic response up to beam failure in an accurate but efficient manner. After a successful numerical implementation, benchmark tests will be compared to fully resolved finite element simulations. After validation, the new model will be exploited in large-scale truss networks.
Trusses, assembled in a periodic manner or hierarchical fashion, have proven advantageous across multiple length scales, owing to the flexibility in selecting their architecture and, in turn, the opportunities in controlling the effective mechanical properties of the resulting truss networks. By manipulating the truss topology, the geometry of individual truss members, as well as the selection of base materials, trusses have enabled the creation of (meta)materials whose properties cover broad ranges in the material property space. A reliable computational description of large-scale truss lattices depends strongly on an accurate mechanical description of individual beam elements, especially when considering the elastic-plastic response going far beyond the elastic behavior and up to failure.
This project focuses on the development of an efficient reduced-order model for beams undergoing inelastic deformation. The generally nonlinear, inhomogeneous stress-strain distribution across the beam cross-section is described by a decomposition into multiple surfaces to analyze the elastic-plastic response up to beam failure in an accurate but efficient manner. After a successful numerical implementation, benchmark tests will be compared to fully resolved finite element simulations. After validation, the new model will be exploited in large-scale truss networks.
Pre-requisites:
Interested students should have a background and interest in mechanics and computational modeling. Specifically, programming skills in C++/MATLAB/Python, knowledge in continuum mechanics,
computational and applied mathematics will be useful (but are not necessarily required).
Pre-requisites:
Interested students should have a background and interest in mechanics and computational modeling. Specifically, programming skills in C++/MATLAB/Python, knowledge in continuum mechanics, computational and applied mathematics will be useful (but are not necessarily required).
Raphael Glaesener
Mechanics & Materials
Department of Mechanical and Process Engineering
Leonhardstr. 21, LEE N203
email: raphaegl@ethz.ch
Raphael Glaesener Mechanics & Materials Department of Mechanical and Process Engineering Leonhardstr. 21, LEE N203 email: raphaegl@ethz.ch