Geometric Approach to Thermomechanics of Dissipating Continua (2004)

This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. The required mathematical background is given; basic understanding of differential geometry and tensor analysis is helpful. Largely self-contained work should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics.