Books in the Modern Mechanics and Mathematics series

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces an analytic method for nonlinear problems - homotopy analysis - that remains valid even with strong nonlinearity. It explores the details of this valuable approach.

Explores numerous stochastic models and methods used in the mechanics of random media and illustrates these in a variety of applications. This book offers a refresher in several tools used in stochastic mechanics, followed by two chapters that outline periodic and disordered planar lattice (spring) networks.

Presenting the general framework of configurational forces, this book offers an approach to material forces that can be used to predict the propagation of defects in materials ranging from dislocations and cracks in metals to domain walls in ferromagnets and many industrial components.

Describes continuum mechanics and continuum theory of plasticity. This book covers anisotropic plasticity, and incorporates research results related to the endochronic theory of plasticity that are obtained by the author. It is suitable for readers pursuing research in mechanical behavior of engineering materials.