Stress Induced Phononic Properties and Surface Waves in 2D Model of Auxetic Crystal
D. Trzupek a,b, D. Twaróg a and P. Zieliński a,c
a The H. Niewodniczański Institute of Nuclear Physics, PAS, Radzikowskiego 152, 31-342 Kraków, Poland
b Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
c Institute of Physics, Cracow Technical University, Podchorążych 1, 30-084 Kraków, Poland
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Elastic stiffness parameters are determined in a 2D model system of rigid rods interacting by harmonic force constants. Any positive ("normal" crystal) or negative (auxetic crystal) Poisson ratio can be obtained in this model as a function of the external stress. Conditions for opening an absolute stop band (phononic crystal) and for various kinds of surface waves are obtained.
DOI: 10.12693/APhysPolA.115.576
PACS numbers: 63.20.D-, 68.35.Ja, 62.20.dj