The second order approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
Compared with Kirchhoff-Love first order theory, two more terms are added into the series for the displacements. Based on the three-dimensional generalized variational principle for elastic plates, the paper establishes the second order approximation theory with 9 partial differential equations for 9 undertermined functions. The related approximate boundary conditions are discussed in detail. Comparison of numerical results, which will show the range of validity of the different approximations, shall be given in an another paper.
scientific article; zbMATH DE number 779182