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  1. 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...
    Chapter
  2. 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...
    Chapter
  3. 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...
    Chapter
  4. 1 Introduction

    Considerable progress has been achieved recently in modeling and mathematical analysis of various processes involved in contact between deformable...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  5. 6 Mathematical Preliminaries

    Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  6. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  7. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  8. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  9. 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...
    Chapter
  10. 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...
    Chapter
  11. 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]....
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  12. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  13. 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....
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  14. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  15. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  16. 9 Viscoplastic Contact

    We describe contact problems for viscoplastic materials in which once the stress reaches the so-called yield limit the deformation becomes...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  17. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  18. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  19. 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...
    Meir Shillor, Mircea Sofonea, Józef Joachim Telega in Models and Analysis of Quasistatic Contact
    Chapter
  20. 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...
    Chapter
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