TY - JOUR
T1 - Can tailored non-linearity of hierarchical structures inform future material development?
AU - O'Donnell, Matthew P.
AU - Weaver, Paul M.
AU - Pirrera, Alberto
N1 - Publisher Copyright:
© 2016 Elsevier Ltd.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - An analytical investigation into the non-linear elastic response of helical lattice structures coupled with an elastic medium is presented. Novel composite templates are then obtained to produce bespoke material characteristics by exploiting tuned hierarchy. System behaviour is approximated as a combination of three non-linear "springs", representing the helical lattice, and the axial and circumferential components of the elastic medium via an energy based approach. Non-dimensional parameters governing each component's non-linear load-displacement behaviour are identified, demonstrating tailoring potential. Further tunable parameters that govern the combined system response, involving form factor, geometric and stiffness ratios are identified. In particular, pseudo-ductile responses are observed. The feasible region of pseudo-ductility, as determined by these non-dimensional parameters, is obtained, allowing discussion of viable materials and geometries. Finally, load-displacement behaviour is utilised to obtain indicative effective stress-strain curves, thus showing promise as a model for future material development.
AB - An analytical investigation into the non-linear elastic response of helical lattice structures coupled with an elastic medium is presented. Novel composite templates are then obtained to produce bespoke material characteristics by exploiting tuned hierarchy. System behaviour is approximated as a combination of three non-linear "springs", representing the helical lattice, and the axial and circumferential components of the elastic medium via an energy based approach. Non-dimensional parameters governing each component's non-linear load-displacement behaviour are identified, demonstrating tailoring potential. Further tunable parameters that govern the combined system response, involving form factor, geometric and stiffness ratios are identified. In particular, pseudo-ductile responses are observed. The feasible region of pseudo-ductility, as determined by these non-dimensional parameters, is obtained, allowing discussion of viable materials and geometries. Finally, load-displacement behaviour is utilised to obtain indicative effective stress-strain curves, thus showing promise as a model for future material development.
KW - Analytical modelling
KW - Hierarchical structures
KW - Non-linear elasticity
KW - Pseudo-ductility
UR - http://www.scopus.com/inward/record.url?scp=84958233425&partnerID=8YFLogxK
U2 - 10.1016/j.eml.2016.01.006
DO - 10.1016/j.eml.2016.01.006
M3 - Article
AN - SCOPUS:84958233425
SN - 2352-4316
VL - 7
SP - 1
EP - 9
JO - Extreme Mechanics Letters
JF - Extreme Mechanics Letters
ER -