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Showing papers in "Mechanics Research Communications in 1978"





Journal ArticleDOI
TL;DR: In this paper, the authors extended Boussinesq's classical problem relating to a rigid circular punch resting in smooth contact with an isotropic elastic halfspace, to include the effects of a Mindlin force.

19 citations





Journal ArticleDOI
TL;DR: In this paper, lower bounds on the real and imaginary parts of the eigenvalues of a damped linear system in free vibration were obtained, and a condition for subcritical damping in all modes is obtained.

12 citations




Book ChapterDOI
TL;DR: In this article, the propagation of a plane sinusoidal wave in an incompressible isotropic elastic material, which is subjected to an initial static pure homogeneous deformation with principal extension ratios λ1,λ2, λ3.









Journal ArticleDOI
E. Fahy1, G.F. Smith1




Journal ArticleDOI
TL;DR: In this paper, it was shown that the mass and damping matrices must be positive definite for the free vibrations to be oscillatory with decaying amplitude in a damped linear system.





Journal ArticleDOI
TL;DR: In this article, a bound on the norm of the response vector is derived in terms of the smallest eigenvalue of the stiffness matrix and of the damping matrix, and the largest eigen value of the mass matrix.

Journal ArticleDOI
TL;DR: In this article, a diagonal matrix D∗ is derived which minimizes an upper bound on the spectral condition number of DA for a nonsingular n by n matrix A, and a simple computational algorithm is presented.