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dc.contributor.authorKlein, John, T.
dc.contributor.authorKarpov, Eduard, G.
dc.date.accessioned2018-11-07T19:31:50Z
dc.date.available2018-11-07T19:31:50Z
dc.date.issued2017-12-27
dc.identifier.issn0178-7675
dc.identifier.other10.1007/s00466-017-1520-2
dc.identifier.urihttp://hdl.handle.net/10027/22825
dc.descriptionCopyright @ Springeren_US
dc.description.abstractNegative extensibility metamaterials are able to contract against the line of increasing external tension. A bistable unit cell exhibits several nonlinear mechanical behaviors including the negative extensibility response. Here, an exact form of the total mechanical potential is used based on engineering strain measure. The mechanical response is a function of the system parameters that specify unit cell dimensions and member stiffnesses. A phase diagram is calculated, which maps the response to regions in the diagram using the system parameters as the coordinate axes. Boundary lines pinpoint the onset of a particular mechanical response. Contour lines allow various material properties to be fine-tuned. Analogous to thermodynamic phase diagrams, there exist singular “triple points” which simultaneously satisfy conditions for three response types. The discussion ends with a brief statement about how thermodynamic phase diagrams differ from the phase diagram in this paper.en_US
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.subjectMechanical metamaterialsen_US
dc.subjectPhase diagramen_US
dc.subjectGeometric nonlinearityen_US
dc.subjectNumerical methodsen_US
dc.titleNegative extensibility metamaterials: Phase diagram calculationen_US
dc.typeArticleen_US
dc.identifier.citationKlein, J. T., & Karpov, E. G. (2018). Negative extensibility metamaterials: phase diagram calculation. Computational Mechanics, 62(4), 669-683. doi:10.1007/s00466-017-1520-2en_US


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