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...

In this paper, the natural frequencies of the radial vibrations of a hollow cylinder and hollow sphere with different boundary conditions under influences of rotation and non-homogeneity have been studied. The radial vibrations of orthotropic material as affected by the angular velocity are investigated on the basis of the linear theory of elasticity. The of elastodynamic equations have been so...

In the present paper, the redial harmonic vibrations of hollow cylinders of orthotropic material as affected by the angular velocity are discussed on the basis of the linear theory of elasticity. The one-dimensional equation of elastodynamics has been solved in terms of radial displacement. Three different boundary conditions, the free, fixed and mixed ones are considered. The determination of ...

The scattered field arising from diffraction of a plane flexural wave by a semi-infinite crack in an orthotropic Kirchhoff thin plate is analysed. The crack is aligned with a principal direction of the material, so that two of the plate’s three planes of symmetry are preserved. An asymptotic approximation is derived via the method of steepest descents, and explicit expressions are given for the...

Abstract In this contribution a brief overview of the development of an orthotropic material model for the simulation of clear spruce wood under simultaneous biaxial in-plane stresses and transverse shear stresses is given. The model considers an initially linear elastic domain as well as hardening and softening behaviour at higher states of stress and strain, respectively. Combining the advant...