Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
Two-dimensional linear model of anisotropic shells. / Tovstik, P.E.; Tovstik, T.P.
Two-dimensional linear model of anisotropic shells. 2014. p. 153-156.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
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TY - GEN
T1 - Two-dimensional linear model of anisotropic shells
AU - Tovstik, P.E.
AU - Tovstik, T.P.
PY - 2014
Y1 - 2014
N2 - Two-dimensional linear model of a shell made of an anisotropic material described by 21 elastic moduli is proposed. It is shown that, in the general case (in contrast to isotropic or orthotropic materials), both the Kirchhoff-Love and the Timoshenko-Reissner hypotheses result in 2D models, which are incorrect in the major terms with respect to the small thickness parameter. For this aim the generalized Timoshenko-Reissner hypotheses are used. Example of a material with general anisotropy is given. Asymptotic analysis of the obtained 2D shell model is made, and the main types of the possible stress-strain states are described.
AB - Two-dimensional linear model of a shell made of an anisotropic material described by 21 elastic moduli is proposed. It is shown that, in the general case (in contrast to isotropic or orthotropic materials), both the Kirchhoff-Love and the Timoshenko-Reissner hypotheses result in 2D models, which are incorrect in the major terms with respect to the small thickness parameter. For this aim the generalized Timoshenko-Reissner hypotheses are used. Example of a material with general anisotropy is given. Asymptotic analysis of the obtained 2D shell model is made, and the main types of the possible stress-strain states are described.
M3 - Conference contribution
SN - 9781138000827
SP - 153
EP - 156
BT - Two-dimensional linear model of anisotropic shells
ER -
ID: 7066520