Speaker
Description
As structures are scaled down to the microscale, the influence of microstructural effects becomes increasingly significant in determining their mechanical behavior. Accurately capturing the scale effect is essential for understanding and predicting the performance of micro-scaled structures.
This study focuses on developing a space-fractional finite element method tailored for scale-sensitive truss structures. The space-fractional truss model (s-FTM) is derived within the framework of space-fractional continuum mechanics and the principle of virtual work. In this approach, the non-locality is incorporated using fractional derivatives, and the scale effect depends on the order of fractional derivatives and length scale. Importantly, the classical (local) truss theory emerges as a special case of s-FTM.
The two-dimensional (planar) trusses are then modeled as systems formed by assembling space-fractional finite elements. Numerical analyses are conducted on micro-scale truss structures and the research conducted focuses on static analysis. The results highlight the role of non-local parameters (fractional derivative order and the length scale function) in capturing the non-local behavior of scale-sensitive structures.
ACKNOWLEDGEMENTS
This research was funded in whole by the National Science Centre, Poland, grant number 2022/45/N/ST8/02421. For the purpose of Open Access, the authors have applied a CC-BY public copyright license to any Author Accepted Manuscript (AAM) version arising from this submission.
REFERENCES
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[2] P. Stempin and W. Sumelka. Space-fractional Euler-Bernoulli beam model - Theory and identification for silver nanobeam bending. International Journal of Mechanical Sciences, 186:105902, 2020.
[3] P. Stempin and W. Sumelka. Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects. Computational Mechanics, 68:697-708, 2021.
[4] P. Stempin and W.Sumelka. Space-fractional small-strain plasticity model for microbeams including grain size effect. International Journal of Engineering Science, 175:103672, 2022.
[5] P. Stempin, T.P. Pawlak and W. Sumelka. Formulation of non-local space-fractional plate model and validation for composite micro-plates. International Journal of Engineering Science, 192:103932, 2023.
