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Shape and Shape Changes in Mechanics : The Mechanical and Thermal Gradient Theories / by Michel Frémond

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Series in Solid and Structural Mechanics ; 15Publisher: Cham : Springer Nature Switzerland, 2025Publisher: Cham : Imprint: Springer, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(XIV, 415 p. 17 illus., 4 illus. in color.)ISBN:
  • 9783031759154
Subject(s): Additional physical formats: 9783031759147 | 9783031759161 | 9783031759178 | Erscheint auch als: 9783031759147 Druck-Ausgabe | Erscheint auch als: 9783031759161 Druck-Ausgabe | Erscheint auch als: 9783031759178 Druck-AusgabeDDC classification:
  • 620.1 23
DOI: DOI: 10.1007/978-3-031-75915-4Online resources: Summary: Introduction -- An Example A Point Table System -- A Soccer Ball Soccer Field System -- The Motion of a Continuum Medium -- The Change in Shape.Summary: This book provides an innovative description of motion with large deformations and the possibility of defects and dislocations. The theory is based on the stretch and angular matrices of the polar decomposition allowing convex potentials. Third-order gradient theories are required to account for mechanical everyday experiments, for instance assemblies of solid structures with different spatial dimensions. Second-order gradient theories are required for thermal experiments. Using the principle of virtual power and new convex potentials, the position of either solid or fluid structures together with the matrix accounting for the defects and dislocations is computed. Defects and dislocations are present in case an internal stress is large enough. Engineers and scientists active in solid and fluid engineering, mathematics, and numerics should be aware of this predictive theory. Damage, shape memory alloys, Cosserat materials, and surface tension are investigated in this framework.PPN: PPN: 1925485889Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-ENG | ZDB-2-SXE
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