Abstract: A method is presented to obtain both upper and lower bound to eigenvalues when a variational formulation of the problem exists. The method consists of a systematic shift in the weight function. ...

Abstract: A method is developed to compute the lower bounds for the thermal instability criterion (the critical Rayleigh number) for fluids completely confined inside cylinders of arbitrary cross section; ...

Abstract: A method is presented by which lower bound can be calculated for the gravest and all higher frequencies of both clamped and simply supported plates of arbitrary shape. The results have the ...

Abstract: A method is presented to compute a lower bound to the n th eigenvalue of the Helmholtz equation over three-dimensional regions. The shape of the regions is arbitrary and only their volume ...

Abstract: A particular solution of a variational problem is defined as corresponding to a particular set of parameters. A general solution is the one over a continuous region of the parameters. This ...

Abstract: A model of friction interaction between two surfaces is based on considerations of discrete microscopic asperities at the surface. This model establishes the existence of two temperature gradients ...

Abstract: An effort is made to functionally connect the morphology of a surface damaged by friction with the sequence of events leading to the damage. The connection between a destructive situation and ...

Abstract: Heating, wear, and failure are feared effects of friction. The relationship between them is analyzed in terms of slide/roll ratio, relative velocity variation, and relative hardness relations. ...