Abstract: A critical review is given of the various historical attempts to formulate a general, three-dimensional theory of failure for broad classes of homogeneous, isotropic elastic materials. Following ...

Abstract: The self-consistent scheme is used to model the state of an elastic material with a very high density of nearly connected cracks. Then fracture mechanics is used to pose the problem of the ...

Abstract: The exact, closed-form, three-dimensional solutions for the steady motion of traveling, sagged, elastic cables under arbitrarily distributed and concentrated loading are developed in this paper. ...

Abstract: A spectral analysis determining asymptotically the distribution of eigenvalues of a constrained, translating, tensioned beam in closed form is the subject of this paper. The constraint is modeled ...

Abstract: The response and natural frequencies for the linear and nonlinear vibrations of rotating disks are given analytically through the new plate theory proposed by Luo in 1999. The results for the ...