## Micromechanics of Solids |

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### Contents

Introduction to tbe probabilistic micromechanics | 1 |

Random theory of deformation | 48 |

Functional analysis in micromechanics | 75 |

Copyright | |

4 other sections not shown

### Common terms and phrases

abstract dynamical system bonding area Borel sets boundary zone Chapter coincidence cell components concept considered continuum continuum mechanics convergence corresponding crystal crystalline solids defined deformation kinematics deformation process deformation theory denoted density function discrete discussed dislocations displacement vector distribution function element ergodic theorems experimental expressed fibre segment fibrous structures fibrous systems follows formulation functional analysis given grain boundary Hence holographic interferometry interaction internal kinematics lattice Laue macroscopic Markov process material operator material sample matrix mesodomain micro microdeformations microelement microstress microstructure obtained open sets parameters polycrystalline solids probabilistic micromechanics probability distribution probability measure probability space quantities random function random process random variable referred response behaviour scanning electron scanning electron microscopy Section shown statistical steady-state deformation stochastic deformation stochastic functions stochastic process stress space structured medium structured solids surface technique tensor theory of stochastic tion topological topological spaces transition probability undeformed whilst X-ray diffraction x(co