Continuum-based stability of anisotropic and auxetic beams |
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| Institution: | 1. DEIM, University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy;2. Department of Enterprise Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy;1. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy;2. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria;3. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, University of Salento, via Arnesano, 73100 Lecce, Italy;4. Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), via Arnesano, I-73100 Lecce, Italy;1. College of Civil Engineering, Hunan University of Technology, Zhuzhou 412007, China;2. Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China;1. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico;2. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece |
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| Abstract: | The critical buckling loads of pinned-pinned and cantilever beams are computed using the equations of three-dimensional elasticity rather than typical beam theories. These loads are influenced both by the nature of the assumed displacement field over the beam cross-section and by the inclusion of the terms from the full constitutive tensor. Of special interest are beams that are either anisotropic or auxetic. For anisotropic beams, an increased ratio of longitudinal to shear modulus for cantilevered beams increases the generation of shear buckling rather than flexural buckling. For isotropic auxetic beams, the values of Poisson ratio that define the limit between buckling loads that approach the classical buckling load from above or below are discussed. |
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| Keywords: | Stability Euler Buckling Auxetic Beam Elasticity |
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