The complete works of Gabrio Piola: Volume I [electronic resource] : Commented English Translation / edited by Francesco dell'Isola, Giulio Maier, Umberto Perego, Ugo Andreaus, Raffaele Esposito, Samuel Forest.Material type: TextLanguage: English Series: Advanced Structured Materials: 38Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: X, 813 p. 4 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319002637Subject(s): Engineering | Computer science | Mechanics | Materials | Engineering | Continuum Mechanics and Mechanics of Materials | Computational Science and Engineering | MechanicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA405-409.3QA808.2Online resources: Click here to access online
About the fundamental equations of the motion of bodies whatsoever, as considered following the natural their form and constitution -- On a Debated Principle of Lagrange’s Analytical Mechanics And on its Multiple Applications -- 1818 Eulogy in memoriam of Vincenzo Brunacci by Prof. Gabrio Piola -- Least action principle for second gradient continua and capillary _uids: a Lagrangian approach following Piola's point of view -- A still topical contribution of Gabrio Piola to Continuum Mechanics: the creation of peridynamics, non-local and higher gradient continuum mechanics -- Gabrio Piola and Balance Equations -- Gabrio Piola and Mathematical Physics.
Gabrio Piola works had an enormous impact on the development of applied mathematics and continuum mechanics. An excellent scientific committee who took it upon themselves to translate his complete works. In a second step, they commented Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and proofs that he has set milestones in applied mathematics. This book presents Piola's original Italian texts together with is translations and their comments. It shows impressively that Gabrio Piola’s work must still be regarded as a modern theory.