Micromechanics and Inhomogeneity: The Toshio Mura 65th Anniversary Volume

Toshio Mura has written extensively on micromechanics over the years, and in part due to his writings and many others in the field, micromechanics has gradually emerged as a recognized discipline in the study of mechanics of materials. The idea is to bring both the mechanics and physics on the micro- scopic level to the macroscopic scale, so that the deformation and fracture processes of materials can be better understood. While much apparently remains to be done, this approach has already shed new light on certain selected topics and has proved to be fruitful. It is indeed a happy occasion to celebrate both Toshio's upcoming 65th birthday and the emergence of this young science at the same time. The volume contains thirty-seven original articles on the related topics of micromechanics and inhomogeneity; it is presented to Toshio by his friends, colleagues, and admirers as a wish for his good health and continuing pro- ductivity. The contributors belong to both the applied mechanics and the materials communities, all with a common belief that micromechanics is an indispensable area of research. It is hoped that this somewhat balanced structure will make the volume more useful to a wider range of readers, and that in the meantime it will still reflect more or less the spectrum of Toshio's lifelong works. As Editors we have at the outset set the highest possible standards for the book, with a keen anticipation that the volume will be widely circulated for many years to come.

Table of Contents:
An Inverse Problem in Nondestructive Inspection of a Crack in a Plate with an Inhomogeneity by Means of the Electrical Potential Method.- The Effective Thermoelastic Properties of Whisker-Reinforced Composites as Functions of Material-Forming Parameters.- On the Specific Damaging Effects of Surface and Near-Surface Inclusions.- On a Correspondence Between Mechanical and Thermal Effects in Two-Phase Composites.- On Atomic Spacing in Large Regular Cubic Lattices.- Crack Tip Toughening by Inclusions with Pairs of Shear Transformations.- Boundary Conditions at Interfaces.- On Viscoplasticity and Continuum Dislocation Theory.- A Circular Inclusion with Slipping Interface in Plane Elastostatics.- Mechanical Properties of Cracked Solids: Validity of the Self-Consistent Method.- The Elastic and Diffusional Interaction of Spherical Inhomogeneities in a Uniaxial Stress Field.- Analysis of Cracks in Transversely Isotropic Media.- Modified Green Functions in the Theory of Heterogeneous and/or Anisotropic Linearly Elastic Media.- Inclusion With and Without Free Surfaces in a Plane Strain.- Interaction of Slip Bands in High-Cycle Fatigue Crack Initiation.- Elastic Behavior of Laminated Flexible Composites Under Finite Deformation.- On the Basic Components of the Interaction Energy Between Two Infinitesimal Circular Defects in an Isotropic Elastic Body.- Successive Iteration Method in the Evaluation of Average Fields in Elastically Inhomogeneous Materials.- Effects of Nonmetallic Inclusions on the Fatigue Strength of Metals.- Elastic Solids with Microdefects.- The Effective Moduli of Layered Media—A New Look at an Old Problem.- Thermomechanical Hysteresis and Analogous Behavior of Composites.- The Effect of Voids and Inclusions on Wave Propagation in Granular Materials.- Crack, Dislocation Free Zone, and Dislocation Pile-Up Model for the Behavior of the Hall—Petch Relation in the Range of Ultrafine Grain Sizes.- The Elastic Fields Produced by an Infinitesimal Dislocation Loop, an Interstitial Atom, and a Vacancy Moving with Uniform Velocity.- Energy Consideration on a Branched and Curved Crack Extension.- Elastic/Plastic Indentation Hardness of Ceramics: The Dislocation Punching Model.- Some Thoughts on Inhomogeneous Distribution of Fillers in Composites.- The Eigenvectors of the S Matrix and Their Relations with Line Dislocations and Forces in Anisotropic Elastic Solids.- On the Strain Energy of Transformation Inhomogeneities in Solids.- The Hemispherical Inhomogeneity Subjected to a Concentrated Force.- Dislocation Inhomogeneity in Cyclic Deformation.- Equivalence of Green’s Function and the Fourier Series Representation of Composites with Periodic Microstructure.- Polarization, Virtual Mass, and Analogous Elastic Properties.- Edge Crack Solution Through Use of Dislocation Shielding/Antishielding.- Variational Estimates for the Overall Behavior of a Nonlinear Matrix—Inclusion Composite.- Theory of Plasticity for a Class of Inclusion and Fiber-Reinforced Composites.- Author Index.