Ahatract-We introduce a displacement-pressure (u/p) finite element formulation for the geometrically and materially nonlinear analysis of compressible and almost incompressible solids. The u/p formulation features the a priori replacement of the pressure computed from the displacement field by a separately interpolated pressure; this replacement is petformed without reference to any specific ma...

The objective of this study is to present a brief survey on the geometrically nonlinear free vibrations of the Bernoulli-Euler, the Rayleigh, shear, and the Timoshenko beams with simple end conditions using the Homotopy Analysis Method HAM . Expressions for the natural frequencies, the transverse deflection, postbuckling load-deflection relation to, and critical buckling load are presented. The...

The resolve of many important problems in practice that arise modern technology cannot always be obtained by traditional methods analytic function theory or means integral transformations. This applies, for example, to contact problems, which take into account the finite size region at least one direction, investigate environments with curvilinear anisotropy and like. mathematical elasticity ar...

This paper presents a new approach for the geometrically nonlinear analysis of thin-walled space frames. The proposed approach employs an Eulerian (convected) system for the definition of local element freedoms, and is capable of representing the effects of large displacements, finite rotations and cross-sectional warping. The use of the Eulerian system has been shown to be advantageous in the ...