LEADER 03433nam 22005415 450 001 9910254349103321 005 20200702215041.0 010 $a3-662-52696-4 024 7 $a10.1007/978-3-662-52696-5 035 $a(CKB)3710000000765106 035 $a(DE-He213)978-3-662-52696-5 035 $a(MiAaPQ)EBC4616188 035 $z(PPN)25886589X 035 $a(PPN)194512606 035 $a(EXLCZ)993710000000765106 100 $a20160728d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCollisions Engineering: Theory and Applications$b[electronic resource] /$fby Michel Frémond 205 $a1st ed. 2017. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 268 p. 117 illus., 95 illus. in color.) 225 1 $aSpringer Series in Solid and Structural Mechanics,$x2195-3511 ;$v6 311 $a3-662-52694-8 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- 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. 330 $aThis book investigates collisions occurring in the motion of solids, in the motion of fluids but also in the motion of pedestrians in crowds. The duration of these presented collisions is short compared to the whole duration of the motion: they are assumed instantaneous. The innovative concept demonstrated in this book is that a system made of two solids, is deformable because their relative position changes. The definition of the velocities of deformation of the system introduced in the classical developments of mechanics, the principle of the virtual work and the laws of thermodynamics, allows a large range of applications such as crowd motions, debris flow motions, and shape memory alloys motions. The set of the applications is even larger: social sciences and mechanics are unified to predict the motion of crowds with application to transport management and to evacuation of theaters management. 410 0$aSpringer Series in Solid and Structural Mechanics,$x2195-3511 ;$v6 606 $aMechanics 606 $aMechanics, Applied 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aTheoretical and Applied Mechanics. 615 24$aClassical Mechanics. 676 $a539.754 700 $aFrémond$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0573732 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254349103321 996 $aCollisions Engineering: Theory and Applications$92100663 997 $aUNINA