Continuum Mechanics with Eulerian Formulations of Constitutive Equations

The author received his Ph.D in Applied Mechanics under the supervision of Professor PM Naghdi at the University of California, Berkeley. After working at SRI International (formerly the Stanford Research Institute) for three years he joined the Faculty of Mechanical Engineering at Technion, where he completed his entire academic career, retiring as a Professor Emeritus. He conducted research as a visiting Faculty at Lawrence Livermore National Laboratory for over thirty years. He has taught Continuum Mechanics at Technion for thirty-five years and has authored over 180 journal papers. In addition, in 2000 he published a book entitled: Cosserat Theories: Shells, Rods and Points.

• Introduction.- Basic tensor analysis.- Kinematics.- Balance laws for the purely mechanical theory.- Purely mechanical constitutive equations.- Thermomechanical Theory.- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor.- Consequences of Continuity.- Lagrange Multipliers.- Stationary Values of Normal And Shear Stresses.- Isotropic Tensors.- An introduction to tensors with respect to curvilinear coordinates.- Summary of tensor operations in specific coordinate systems.

“Continuum mechanics is an extremely interesting discipline ... . The book is structured ... . chapters are complemented by seven appendices focused on topics that extend concepts already analyzed or some new ones, and that make for a lighter reading of the entire work. It contains a very interesting point of view to clarify basic and key concepts of continuum mechanics.  A book is recommended to all those who work in continuous mechanics.” (Manuel de León, zbMATH 1516.74001, 2023)