On the Nonlinearly Elastic Equilibrium of a Rectangular Multilayered PlateSpringer Science and Business Media LLC - Tập 38 - Trang 457-462 - 2002
E. N. Borisov
A three-dimensional boundary-value problem of physically nonlinear elastic theory is solved for a multilayered plate. The nonlinear relationships between the stresses and small strains are assumed to be of the Kauderer form. The solution under given conditions is constructed as series in powers of a physical dimensionless small parameter. The physically nonlinear boundary-value problem is reduced ...... hiện toàn bộ
Solving the Stress Problem for Hollow Cylinders with Corrugated Elliptical Cross SectionSpringer Science and Business Media LLC - Tập 40 - Trang 169-175 - 2004
Ya. M. Grigorenko, L. S. Rozhok
The paper presents an approach based on three-dimensional elastic equations to solve boundary-value stress problems for hollow cylinders with corrugated elliptical cross section. Discrete Fourier series are used to make the problem one-dimensional and then to solve it by the stable discrete orthogonalization method. Solutions for cylinders of different thicknesses are presented
Love solutions in the linear inhomogeneous transversely isotropic theory of elasticitySpringer Science and Business Media LLC - Tập 46 - Trang 121-129 - 2010
M. Yu. Kashtalyan, J. J. Rushchitsky
A general Love solution for the inhomogeneous transversely isotropic theory of elasticity with the elastic constants dependent on the coordinate z is proposed. This result may be considered as a generalization of the Love solutions we recently derived for the inhomogeneous isotropic theory of elasticity. The key steps of deriving the Love solution for the classical linear homogeneous transversely ...... hiện toàn bộ