caa a22 4500 469080787 CHVBK 20180323132949.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01176650 doi (NATIONALLICENCE)springer-10.1007/BF01176650 Soldatos K. Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, Nottingham, UK aut A transverse shear deformation theory for homogeneous monoclinic plates [Elektronische Daten] [K. Soldatos] Summary: A general two-dimensional theory suitable for the static and/or dynamic analysis of a transverse shear deformable plate, constructed of a homogeneous, monoclinic, linearly elastic material and subjected to any type of shear tractions at its lateral planes, is presented. Developed on the basis of Hamilton's principle, in conjunction with the method of Lagrange multipliers, this new theory accounts for an unlimited number of choices of through-thickness displacement distributions, while, starting with the smallest possible number of independent displacement components (five, for a shear deformation theory), it is capable of further operating with as many degrees of freedom as desired. For the particular case of a theory operating with five degrees of freedom, special attention is given to displacement expansions producing symmetric, through thicknes, distributions of transverse shear strain. For the cylindrical bending problem of a specially orthotropic plate, the governing equations of that five-degrees-of-freedom theory are solved and for three different choices of symmetric, through tickness, transverse shear deformation, numerical results are obtained and compared with corresponding results based on the exact three-dimensional solution existing in the literature. The comparisons made show clearly, that the multiple options offered by the new theory, by either suitably altering the displacement expansions or gradually increasing the degrees of freedom involved, will be found useful in future studies dealing with the static and/or dynamic analysis of homogeneous plates. Springer-Verlag, 1992 Acta Mechanica Springer-Verlag 94/3-4(1992-09-01), 195-220 0001-5970 94:3-4<195 1992 94 707 https://doi.org/10.1007/BF01176650 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01176650 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Soldatos K. Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 94/3-4(1992-09-01), 195-220 0001-5970 94:3-4<195 1992 94 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer