anisotropic plate

Bending of Multiconnected Anisotropic Plates with the Curvilinear Holes

An approximate method for determination of the stress state of thin plates with curvilinear holes, consisting in the use of the complex potential theory of bending of anisotropic plates, approximating the contours of holes by ellipse arcs and straight sections, the use of conformal mapping, presentation of complex potentials by Laurent series and determining the unknown series coefficients of the generalized least squares method. Isotropic plates are considered as a special case of anisotropic plates.

Numerical Study of Stress-Strain State of a Thin Anisotropic Rectangular Plate

Static bending of a thin rectangular anisotropic plate is considered in the framework of Kirchhoff hypotheses. At each point of the plate there is one plane of elastic symmetry parallel to the middle plane of the plate. It is assumed that the type of boundary conditions does not change along each of the straight sides. By applying of a modified method of spline collocation the twodimensional boundary value problem for the determination of deflection is reduced to a boundary value problem for the system of ordinary differential equations, which is solved numerically.