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 dierent configurations; stress and strain measures; objective stress rate and strain rate measures; balance principles; constitutive relations, with emphasis on elasto-plasticity of metals and variational princi- ples are developed using general curvilinear coordinates.
Being tensor analysis the indispensable tool for the development of the continuum theory in general coordinates, in the appendix an overview of ten- sor analysis is also presented.
Embedded in the theoretical presentation, application examples are devel- oped to deepen the understanding of the discussed concepts.
Even though the mathematical presentation of the dierent topics is quite rigorous; an eort is made to link formal developments with engineering phys- ical intuition.
This book is based on two graduate courses that the authors teach at the Engineering School of the University of Buenos Aires and it is intended for graduate engineering students majoring in mechanics and for researchers in the fields of applied mechanics and numerical methods.