Although Continuum Mechanics belongs to a traditional topic, the research in this
field has never been stopped. The goal of this book is to introduce the latest progress
in the fundamental aspects and the applications in various engineering areas. The first
three chapters are on the fundamentals of Continuum Mechanics. Chapter 1
introduces the Spencer Operator and presents the applications of this useful operator
in solving Continuum Mechanics problems. The authors extend the ideas for tackling
general Mathematical Physics problems. Chapter 2 is on Transversality Condition.
This book develops a modern presentation of Continuum Mechanics, oriented
towards numerical applications in the fields of nonlinear analysis of solids,
structures and fluids.
Kinematics of the continuum deformation, including pull-back/push-forward
transformations between di
This book presents a full spectrum of views on current approaches to modeling cell mechanics. The authors of this book come from the biophysics, bioengineering, and physical chemistry communities and each joins the discussion with a unique perspective on biological systems. Consequently, the approaches range from ﬁnite element methods commonly used in continuum mechanics to models of the cytoskeleton as a cross-linked polymer network to models of glassy materials and gels.
Integrating statistics and dynamics within a single volume, the book will support the study of engineering mechanics throughout an undergraduate course. The theory of two- and three-dimensional dynamics of particles and rigid bodies, leading to Euler's equations, is developed. The vibration of one- and two-degree-of-freedom systems and an introduction to automatic control, now including frequency response methods, are covered.