Frémond M. Collisions Engineering: Theory and Applications

Springer-Verlag, Berlin, Heidelberg, 2017. – 275 p. – ISBN10: 3662526948Latest research on Collision Engineering
Presents theory and applications
Written by leading experts in the field
This book investigates collisions occurring in the motion of solids, in the motion of fluids but also in the motion of pedestrians in crowds. The duration of these presented collisions is short compared to the whole duration of the motion: they are assumed instantaneous. The innovative concept demonstrated in this book is that a system made of two solids, is deformable because their relative position changes. The definition of the velocities of deformation of the system introduced in the classical developments of mechanics, the principle of the virtual work and the laws of thermodynamics, allows a large range of applications such as crowd motions, debris flow motions, and shape memory alloys motions. The set of the applications is even larger: social sciences and mechanics are unified to predict the motion of crowds with application to transport management and to evacuation of theaters management.
Topics
Theoretical and Applied Mechanics
MechanicsThe Theory: Mechanics. An Example: Collision of a Point and a Plane
The Theory: Mechanics and Thermics. An Example: Collision of Two Balls
Collisions of Rigid Solids: Three Disks in a Plane
Collisions of Rigid Solids: Three Balls in a Box
Pedestrian Trajectories and Collisions in Crowd Motion
Collisions of Deformable Solids
Collisions of Rigid Solids and Fluids
Debris Flows and Collisions of Fluids and Deformable Solids
Shape Memory Alloys and Collisions
Appendix A: Some Elements of Convex Analysis