| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | A validated energy approach for the post-buckling design of micro-fabricated thin film devices |
| Authors: | Safa, Yasser Hocker, Thomas |
| DOI: | 10.1016/j.apm.2014.05.038 |
| Published in: | Applied Mathematical Modelling |
| Volume(Issue): | 39 |
| Issue: | 2 |
| Page(s): | 483 |
| Pages to: | 499 |
| Issue Date: | 15-Jan-2015 |
| Publisher / Ed. Institution: | Elsevier |
| ISSN: | 0307-904X 1872-8480 |
| Language: | English |
| Subjects: | Energy method; Thin plate; Buckling; Bifurcation |
| Subject (DDC): | 500: Natural sciences 620: Engineering |
| Abstract: | The buckling of an elastic thin film is studied in the light of an energy minimization method. Specifically, a comprehensive treatment of the Rayleigh–Ritz method is presented. Detailed mechanical modelling, analytical and numerical derivation of stability criteria, physical interpretation of buckling shapes, numerical code implementation, and experimental validations of selected simulations are addressed. The thin film deflection is prescribed as a superposition of buckle functions to provide displacement field parameterizations involving trigonometric functions. An energy minimization procedure is applied to calculate the unknown coefficients to predict the buckling shape and amplitude. Critical buckling values representing the thresholds for instability transitions in the system are calculated from the eigenvalues of the Hessian of the potential energy. Comparison between simulation results and experimental measurements show the great potential of this method to predict thin film buckling. The validated model is exploited by derivation of a new design space for thin film fabrication where the post-buckling mechanics is controlled. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/1636 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Computational Physics (ICP) |
| Appears in collections: | Publikationen School of Engineering |
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Safa, Y., & Hocker, T. (2015). A validated energy approach for the post-buckling design of micro-fabricated thin film devices. Applied Mathematical Modelling, 39(2), 483–499. https://doi.org/10.1016/j.apm.2014.05.038
Safa, Y. and Hocker, T. (2015) ‘A validated energy approach for the post-buckling design of micro-fabricated thin film devices’, Applied Mathematical Modelling, 39(2), pp. 483–499. Available at: https://doi.org/10.1016/j.apm.2014.05.038.
Y. Safa and T. Hocker, “A validated energy approach for the post-buckling design of micro-fabricated thin film devices,” Applied Mathematical Modelling, vol. 39, no. 2, pp. 483–499, Jan. 2015, doi: 10.1016/j.apm.2014.05.038.
SAFA, Yasser und Thomas HOCKER, 2015. A validated energy approach for the post-buckling design of micro-fabricated thin film devices. Applied Mathematical Modelling. 15 Januar 2015. Bd. 39, Nr. 2, S. 483–499. DOI 10.1016/j.apm.2014.05.038
Safa, Yasser, and Thomas Hocker. 2015. “A Validated Energy Approach for the Post-Buckling Design of Micro-Fabricated Thin Film Devices.” Applied Mathematical Modelling 39 (2): 483–99. https://doi.org/10.1016/j.apm.2014.05.038.
Safa, Yasser, and Thomas Hocker. “A Validated Energy Approach for the Post-Buckling Design of Micro-Fabricated Thin Film Devices.” Applied Mathematical Modelling, vol. 39, no. 2, Jan. 2015, pp. 483–99, https://doi.org/10.1016/j.apm.2014.05.038.
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