The dynamic buckling of a thin orthotropic thermoviscoplastic plate is studied by analyzing the stability of a stressed/deformed plate under superimposed infinitesimal perturbations. Elastic deformations are neglected. The wavelength of the perturbation that has the maximum initial growth rate is assumed to determine the buckled shape of the plate. The buckled shape of a rectangular plate loade...

Ah&r&--In this paper, we study the problems of radial diffusion of a fluid through a hollow non-linearly elastic orthotropic cylinder. It is found that shearing and stretching have qualitatively different effects on the diifusion process. The effect of orthotropy on the difision process is also studied. These results are compared with those for the isotropic case [cf. Znr. 1. Engng Sci. 25, 144...

In this paper the secular equation for the Rayleigh wave speed in an incompressible orthotropic elastic solid is obtained in a form that does not admit spurious solutions. It is then shown that inequalities on the material constants that ensure positive definiteness of the strain-energy function guarantee existence and uniqueness of the Rayleigh wave speed. Finally, an explicit formula for the ...

This manuscript aims at characterizing energy densities and constitutive laws of transversely isotropic materials, orthotropic elastic materials and materials with non orthogonal families of fibers. It makes explicit references to results that are scattered over the literature and, although said to be well-known, are not always easy to locate. Direct proofs that are thought to be new and simpli...

The eigenvalue approach has been employed to find the analytical expressions for displacements and stresses at any point of an infinite initially stressed orthotropic elastic medium with the effect of couple stress. A plain strain problem has been studied. New closed forms of displacement and stress components have been obtained. The variations of the displacements and stresses with horizontal ...

Continuum finite element (FE) models of bones and bone-implant configurations are usually based on clinical CT scans. In virtually all of these models, material properties assigned to the bone elements are chosen as isotropic. It has been shown, however, that cancellous bone can be highly anisotropic and that its elastic behavior is best described as orthotropic. Material models have been propo...

Free vibration of a simply-supported magneto-electro-elastic doubly-curved nano-shell is studied based on the first-order shear deformation theory in the presence of the rotary inertia effect. To model the electric and magnetic behaviors of the nano-shell, Gauss’s laws for electrostatics and magneto statics are used. By using Navier’s method, the partial differential equations of motion are red...

This paper discusses the formulation and implementation of the symmetric Galerkin boundary integral method for two dimensional linear elastic orthotropic fracture analysis. For the usual case of a traction-free crack, the symmetry of the coe cient matrix can be e ectively exploited to signi cantly reduce the computational work required to construct the linear system. In addition, computation ti...

The three-dimensional shapes of thin lamina, such as leaves, flowers, feathers, wings, etc., are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric given on the thin sheet as a function of location in the central plane and also across its thickness. The shape is then a consequence of elastic energy minimization on...

Thin shells are found in nature at scales ranging from viruses to hens' eggs; the stiffness of such shells is essential for their function. We present the results of numerical simulations and theoretical analyses for the indentation of ellipsoidal and cylindrical elastic shells, considering both pressurized and unpressurized shells. We provide a theoretical foundation for the experimental findi...