Large deflections of inextensible cantilevers: modeling, theory, and simulation
DOI10.1051/mmnp/2020033zbMath1468.74031arXiv1910.06918OpenAlexW3047538070MaRDI QIDQ5001310
Varun M. Gudibanda, Maria Deliyianni, Jason S. Howell, Justin T. Webster
Publication date: 19 July 2021
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06918
existenceLagrange multiplieruniquenessHamilton principleKelvin-Voigt nonlinear materialnonlinear cantilever beam: quasilinearity
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)
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