Roman Teisseyre Livres

This book deals with a class of basic deformations in Asymmetric Continuum Theory. It describes molecular deformations and transport velocities in fluids, strain deformations in solids as well as the molecular transport, important in fracture processes.    In solids, a separate problem relates to the displacements; their recording, e.g., by means of the seismometers, proves only the existence of the displacement derivatives and not a real displacement. However, the molecular displacements and new fracture criterion including the defect distributions and induced strains are defined in the book too.    In fluids, the transport velocities and molecular strains describe the motion processes. The vortex motions are defined by means of the rotational transport; this approach leads to more complicated problems, like the turbulence phenomena.       The interaction processes, including the electric and magnetic fields, and some thermodynamical problems and quantum theory analogies help to understand the extreme processes

This monograph builds on insights from a previous work, focusing on theoretical aspects that merit deeper exploration. We aim to develop innovative theoretical approaches to continuum theory, extending beyond traditional seismological applications. The work emphasizes the connections between experimental data, observed rotational seismic waves, and their theoretical interpretations. We investigate fundamental point motions and deformations, seeking invariant forms to describe these phenomena. Our premise is that fundamental equations governing all point motions and deformations exist, which we derive within the framework of continuum theory. In our standard asymmetric theory, we incorporate relations for displacement velocities, spin motion, and fundamental point deformations. This includes axial point formation and twist point deformation, represented through string-string and string-membrane motions. A twist vector, defined as perpendicular to the string-string plane, is introduced to quantify these motions and serves as a critical counterpart to spin. Subsequent chapters will demonstrate how twist motion captures the oscillations of shear axes, further enriching the theoretical landscape we explore.

This breakthrough book is the first to examine the rotational effects in earthquakes, a revolutionary concept in seismology. Existing models do no yet explain the significant rotational and twisting motions that occur during an earthquake and cause the failure of structures. The rotation and twist effects are investigated and described, and their consequences for designing tall buildings and other important structures are presented. This book will change the way the world views earthquakes.