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Necessary and sufficient elastic stability conditions in 21 quasicrystal Laue classes
Yanshan Univ, Coll Civil Engn & Mech, Key Lab Mech Reliabil Heavy Equipments & Large St, Qinhuangdao 066004, Peoples R China.;Yanshan Univ, State Key Lab Metastable Mat Sci & Technol, Qinhuangdao 066004, Peoples R China..
Yanshan Univ, Coll Civil Engn & Mech, Key Lab Mech Reliabil Heavy Equipments & Large St, Qinhuangdao 066004, Peoples R China..
Yanshan Univ, State Key Lab Metastable Mat Sci & Technol, Qinhuangdao 066004, Peoples R China..
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
2017 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 65, 30-39 p.Article in journal (Refereed) Published
Abstract [en]

Mechanical stability is essential for solids and its stability criterion may date back to 75 years ago. Recently, the closed form necessary and sufficient conditions for elastic stability in all crystal classes have been investigated. Quasicrystals (QCs) are solids with long-range order and crystallographically forbidden rotational symmetries but without translational symmetry, attracting intense attentions in the last 30 years. In this work, we have explored the elastic constants and the elastic stability in detail for 1D, 2D and 3D QCs. All independent elastic constants and the closed form of necessary and sufficient conditions for elastic stability in all QCs classes are obtained, as a concise and pedagogical reference to stability criteria in aperiodic materials. Meanwhile, symmetry positions and stereographic projections of each QCs class are given as well.

Place, publisher, year, edition, pages
2017. Vol. 65, 30-39 p.
Keyword [en]
Elastic stability, Quasicrystals, Elastic constants, Stereograph
National Category
Reliability and Maintenance
Identifiers
URN: urn:nbn:se:uu:diva-333066DOI: 10.1016/j.euromechsol.2017.02.007ISI: 000405974300003OAI: oai:DiVA.org:uu-333066DiVA: diva2:1155762
Available from: 2017-11-09 Created: 2017-11-09 Last updated: 2017-11-09Bibliographically approved

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Luo, Wei

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