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Momentum and Energy Relations
The equations of motion (5.12) for the charged insulating sphere of radius a moving with arbitrary center velocity u(t) can be rewritten in... -
Derivation of Force and Power Equations
The inconsistency between the power and force equations of motion, (2.4) and (2.1) or (2.5), is so surprising that one is tempted to question the... -
Internal Binding Forces
In Appendix B, we have critically confirmed the evaluation of the self electromagnetic force and power, (3.1) and (3.2), leading to the force and... -
1 Introduction
Considerable progress has been achieved recently in modeling and mathematical analysis of various processes involved in contact between deformable... -
6 Mathematical Preliminaries
Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the... -
11 Contact with Wear or Adhesion
In this chapter we present results on models of frictional contact when the wear of the contacting surfaces is taken into account. The importance of... -
3 Additional E.ects Involved in Contact
More is involved in contact than just friction, although it is the main process. Indeed, during a contact process elastic or plastic deformations of... -
13 Dynamic, One-Dimensional and Miscellaneous Problems
The previous part of this monograph makes it clear that the branch of the Mathematical Theory of Contact Mechanics, which deals with quasistatic... -
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... -
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... -
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].... -
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... -
10 Slip or Temperature Dependent Frictional Contact
The frictional contact problems which have been described up to now contained a constant friction coefficient, although, as was described in Sect.... -
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... -
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... -
9 Viscoplastic Contact
We describe contact problems for viscoplastic materials in which once the stress reaches the so-called yield limit the deformation becomes... -
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... -
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... -
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... -
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...