Showing papers by "Hefei University of Technology published in 1990"
TL;DR: In this paper, the state equation for the jth plies of a laminated thick orthotropic plate is established in the local coordinate system according to the knowledge which has been introduced in the paper by Sundara Raja Iyengar and Pandya (1983, Fiber Sci. Technol.
141 citations
TL;DR: By considering three-dimensional elasticity without any initial assumptions, the authors of as mentioned in this paper obtained the state equations for an orthotropic body and presented a series solution for a simply supported rectangular thick plate with arbitrary ratio between thickness and width under any given load.
33 citations
TL;DR: In this paper, the complementary variational problem for thin elastic shells undergoing large deflections was studied and a truly complementary extremum variational principle was derived by using the theory of convex analysis.
15 citations
TL;DR: In this article, the convexity of the variational functionals are closely related to a so-called gap function, which plays an important role in nonlinear variational problems.
Abstract: Dual variational extremum principles for rate problems of classical elastoplasticity at finite deformation are studied in Updated Lagrangian rate forms. It is proved that the convexity of the variational functionals are closely related to a so-called gap function, which plays an important role in nonlinear variational problems.
11 citations
01 Jan 1990
TL;DR: In this paper, the governing equations of shallow shells of variable thickness and variable initial curvatures were formulated as a coupled problem of a constant rigidity Reissner (or Kirchhoff) plate and an uniform thickness plane-stress sheet subjected to the fictitious loads.
Abstract: Taking into account (or leaving out) the transverse shear deformations, we formulate the governing equations of shallow shells of variable thickness and variable initial curvatures as a coupled problem of a constant rigidity Reissner (or Kirchhoff) plate and an uniform thickness plane-stress sheet subjected to the fictitious loads. The sheets and plates are treated as the special cases of the shallow shells. The equivalence relation of these two plate-models for the polygonal simply-supported plate and axisymmetric bending is proved here. For the spline integral equation method we use only the known and simple fundamental solutions of the plate and sheet of consstant thickness. The shapes, loads and supports of the shallow shells can be in any form. The satisfactory results could be given even with coarse division.
1 citations
TL;DR: In this paper, the authors formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates.
Abstract: In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotropic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.