The classical reduced model for film/substrate bilayers is the one in which film governed by Euler–Bernoulli beam equation, and substrate replaced an array of springs (the so-called Winkler foundation assumption). We derive a refined normal shear tractions at bottom are expressed terms corresponding horizontal vertical displacements, response half-space described exact theory. self-consistency ...

In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of ...

In this paper, the general case of an anisotropic thermo-electro elastic body subjected to static biasing fields is considered. The biasing fields may be introduced by heat flux, body forces, external surface tractions, and electric fields. By introducing proper thermodynamic functions and employing variational principle for a thermo-electro elastic body, the nonlinear constitutive relations an...

The problem of a wheel under tractive rolling Carter is revisited here by assuming slip-dependent friction force. By change from static to dynamic coefficient occurs over small distance, we develop effectively fracture mechanics solution for the shear tractions, which describes some aspects “falling friction” creepage forces are commonly observed experimentally. Possible agreement with experime...

A general framework is developed for finding the equations describing equilibrium of an inextensional material surface with arbitrary flat reference shape that deformed by applying tractions or moments to its edge. This facilitated using a representation all isometric deformations convert bending energy line integral over edge surface. Euler–Lagrange are derived, leading complete and definitive...

Using the Reciprocal Theorem and the principle of superposition, this dissertation examines three procedures for obtaining the impedance functions and driving force vectors necessary for a soil-structure interaction analysis. The first procedure employs a volume integral of body forces and the displacement Green’s Functions to obtain the frequency dependent force-displacement relationship (impe...