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14 Conclusions, Remarks and Future Directions
This monograph shows clearly that the branch of the Mathematical Theory of Contact Mechanics which deals with quasistatic processes has made an...
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2 Evolution Equations, Contact and Friction
Contact processes take place on the surface, and, therefore, are described by boundary conditions. However, these are the boundaries or surfaces of...
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MTF
This document is part of Subvolume D 'Zeolite-Type Crystal Structures and their Chemistry. Framework Type Codes LTA to RHO' of Volume 14 'Microporous...
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5 A Detailed Representative Problem
In the previous three chapters various constitutive laws for the behaviour of the material and different contact conditions were described in some...
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7 Elastic Contact
Existence results for the problem of quasistatic contact between an elastic material and a reactive foundation were first obtained in [18] and [19]....
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12 Contact with Damage
We describe new results dealing with contact problems for materials that may undergo internal damage, resulting from strains and stresses which lead...
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8 Viscoelastic Contact
We describe results for contact problems involving viscoelastic materials. It will be seen that adding viscosity to the models leads to a substantial...
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9 Viscoplastic Contact
We describe contact problems for viscoplastic materials in which once the stress reaches the so-called yield limit the deformation becomes...
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4 Thermodynamic Derivation
In this chapter we present a short review of thermodynamic principles and potentials and describe their use in derivation of general thermomechanical...
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Vibrations of X-Braced Portal Frames
Because of devastation of structures due to earthquake and wind force, increasing attention has been paid to dynamic responses of braced structures...
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Solutions to the Equation of Motion
As a preliminary to solving the equation of motion (7.1) for the uniformly charged sphere of radius a and total charge e, write the magnitude of the...
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A Boundary-Layer Solution Verified by Buckling of a Rectangular Plate
The so called edge-zone or boundary-layer solutions are widely used in large dediection problems of thin elastic plates [20,35,36] and shells...
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Inclined Girders with End Constraint Subjected to Normal Loads
A two-bar truss subjected to lateral normal distributed loads as shown in Fig. 9.1 represents a double leaf miter-type gate used in navigation locks...
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Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses
As a means of discussing the various masses, let us summarize the basic results that have been derived so far in our re-examination of the Lorentz...
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6 Dynamic Analysis
A general dynamical system subjected to an external force vector $\vec{f}(t)$...
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10 Equivalent Statistical Linearization
The solution of non-linear vibration problems in terms of probabilistic characteristics of the response is a complex task, since no general methods...
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12 Stability Analysis of Cylindrical Shells with Random Imperfections
As an example of imperfection sensitive structures, the axially compressed cylindrical shell is analyzed in the subsequent sections. Despite of its...
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2 Outline
The monograph is structured as follows: Part I including Chapts. 3–6 reviews briefly the theoretical background of the deterministic methods and...
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Introduction and Summary of Results
The primary purpose of this work is to determine an equation of motion for the classical Lorentz model of the electron that is consistent with causal...
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Transformation and Redefinition of Force–Power and Momentum–Energy
In Chap. 4 it was shown that the specific model of an electron as a charged insulator demands molecular forces, binding the charge to the insulator,...