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Shape and shape changes in mechanicsthe mechanical and thermal gradient theories /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Shape and shape changes in mechanicsby Michel Frémond.
Reminder of title:	the mechanical and thermal gradient theories /
Author:	Frémond, M.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xiv, 415 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mechanics.
Online resource:	https://doi.org/10.1007/978-3-031-75915-4
ISBN:	9783031759154$q(electronic bk.)

Shape and shape changes in mechanicsthe mechanical and thermal gradient theories /
Frémond, M.

Shape and shape changes in mechanicsthe mechanical and thermal gradient theories /[electronic resource] :by Michel Frémond. - Cham :Springer Nature Switzerland :2025. - xiv, 415 p. :ill. (some col.), digital ;24 cm. - Springer series in solid and structural mechanics,v. 152195-352X ;. - Springer series in solid and structural mechanics ;v.2..

Introduction -- An Example A Point Table System -- A Soccer Ball Soccer Field System -- The Motion of a Continuum Medium -- The Change in Shape.

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.

ISBN: 9783031759154$q(electronic bk.)

Standard No.: 10.1007/978-3-031-75915-4doiSubjects--Topical Terms:

200022
Mechanics.

LC Class. No.: QA805

Dewey Class. No.: 531

Shape and shape changes in mechanicsthe mechanical and thermal gradient theories /
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245 1 0 $a Shape and shape changes in mechanics $h [electronic resource] : $b the mechanical and thermal gradient theories / $c by Michel Frémond.
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505 0 $a Introduction -- An Example A Point Table System -- A Soccer Ball Soccer Field System -- The Motion of a Continuum Medium -- The Change in Shape.
520 $a 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.
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