This monograph, suitable for use as an advanced text, presents the statistical mechanics of solids from the perspective of the material properties of the solid state. The statistical mechanics are developed as a tool for understanding properties and each chapter includes useful exercises to illustrate the topics covered. Topics discussed include the theory of the harmonic crystal, the theory of free electrons in metal and semiconductors, electron transport, alloy ordering, surfaces and polymers.

Generalized Plasticity deals with the plasticity of materials and structures. It is an expansion of the “Unified Strength Theory to Plasticity Theory”, leading to a unified treatment of metal plasticity and plasticity of geomaterials, generally. It includes the metal plasticity for Tresca materials, Huber-von-Mises materials and twin-shear materials and the geomaterial plasticity for Mohr-Coulomb materials, generalized twin-shear materials and the Unified Strength Theory.

This book gives an introduction to computational plasticity and includes the kinematics of large deformations, together with relevant continuum mechanics. Central to the book is its focus on computational plasticity, and we cover an introduction to the finite element method which includes both quasi-static and dynamic problems. We then go on to describe explicit and implicit implementations of plasticity models in to finite element software. Throughout the book, we describe the general, multiaxial form of the theory but uniquely, wherever possible, reduce the equations to their simplest, uniaxial form to develop understanding of the general theory and we hope physical insight. We provide several examples of implicit and explicit implementations of von Mises time-independent and visco-plasticity in to the commercial code ABAQUS (including the fortran coding), which should prove invaluable to research students and practicing engineers developing ABAQUS ‘UMATs’.