...Kees Wapenaar; Jacob Fokkema We thank Stefan Stijlen for bringing the singularity of matrix C to our attention. 07 07 2010 17 08 2010 differential equations diffusion flow matrix algebra vectors waves Matrix C defined in Appendices C and D is singular...

... Isotropic and Orthotropic Materials ,” J. Appl. Mech. 0021-8936 10.1115/1.1467094 , 69 ( 4 ), pp. 502 – 514 . 06 06 2006 22 12 2006 functionally graded materials finite element analysis inclusions thermal conductivity matrix algebra elasticity functionally graded...

... cracks. 16 12 2004 18 01 2006 beams (structures) wave propagation cracks finite element analysis bending elastic waves shear deformation elastodynamics interpolation matrix algebra In order to improve the safety, reliability, and operational life, it is an urgent task...

...) surface diffusion stress effects perturbation theory harmonic analysis matrix algebra The shrintage of voids and the sintering of particles are key phenomena in understanding the mechanical behavior of a number of materials. For example, the study of sapphire fibers tested in tension at low...

... 2003 17 03 2004 diffusion flow waves differential equations vectors matrix algebra frequency-domain analysis acoustic wave propagation electromagnetic wave propagation Diffusion, flow, and wave phenomena can each be captured by the following differential equation in matrix...

...G. V. Rao 10 10 2003 iterative methods vibrations damping matrix algebra eigenvalues and eigenfunctions I appreciate Zu-Qing Qu for the interest shown and for making useful comments on the contents of my paper. The reduced order matrices M R and K...

... 25 08 2003 laminates eigenvalues and eigenfunctions elasticity matrix algebra bending anisotropic media Symmetric laminates belong to the class of laminates in which the coupling between bending and stretching is absent. For this class, the general problem of equilibrium under...

... OF APPLIED MECHANICS . 23 Apr 2002 17 Dec 2002 25 08 2003 Galerkin method boundary-elements methods matrix algebra time-domain analysis elasticity The traditional collocation boundary element method (TCBEM) and the asymmetric Galerkin BEM (AGBEM) have some certain...

... component, which, moreover, approximates optimally the original damping matrix in the least-square sense. Finally, we show with examples that conclusions drawn from the proportionally damped approximation of an arbitrarily damped system can be dangerously misleading. damping vibrations matrix algebra...

...Bin Hu; Peter Eberhard [S0021-8936(00)03803-4] damping matrix algebra We thank Mr. S. Shahruz for his interest in our paper and welcome his comment. In our paper we consider a response bound as a bound with time evolution. Instead of Eq. (7) in Mr. Shahruz’s discussion, our original...

... structural engineering least squares approximations time-domain analysis matrix algebra higher order statistics probability identification condition monitoring An important engineering field and research area, which has been receiving an increasing amount of attention for many years...