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OverviewThis 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. Full Product DetailsAuthor: Michel FrémondPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 2017 Volume: 6 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783662570715ISBN 10: 3662570718 Pages: 268 Publication Date: 12 June 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- The 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.- Conclusion.- Some Elements of Convex Analysis.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |