Micromechanics

This revised edition of a work on micromechanics adds several subjects of current engineering interest. These include the combined mechanical and non-mechanical behavior of composite piezoelectric materials, newly derived upper and lower limits for those combined properties, and a side-by-side assessment of average-field theory against multi-scale perturbation methods. It also covers uniform-field theory, and presents refined bounds on the overall moduli of heterogeneous solids that stay finite even when cavities and rigid inclusions are present. A short section introduces a basic duality principle in anisotropic elasticity. Throughout, explanations have been clarified, references brought up to date, the subject index enlarged, and printing and typographical mistakes corrected.

The book has two parts, preceded by a summary. Part 1 contains four chapters, divided into fourteen sections and four appendices, and addresses materials containing microdefects such as voids, cracks and inclusions, as well as elastic composites. Part 2 has two chapters in seven sections and gives an introduction to linear elasticity, included so the book stands on its own, since linear elasticity underpins the treatment of small-deformation micromechanics. Much of Part 2 comes from lecture notes on elasticity the first author wrote in the late 1960s. That material is largely standard and is offered as background.