Shape and Shape Changes in Mechanics The Mechanical and Thermal Gradient Theories /
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 mec...
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Edition: | 1st ed. 2025. |
| Series: | Springer Series in Solid and Structural Mechanics,
15 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-75915-4 |
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| 100 | 1 | |a Frémond, Michel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Shape and Shape Changes in Mechanics |h [electronic resource] : |b The Mechanical and Thermal Gradient Theories / |c by Michel Frémond. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XIV, 415 p. 17 illus.). |b 4 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Solid and Structural Mechanics, |x 2195-352X ; |v 15 | |
| 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. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Building materials. | |
| 650 | 1 | 4 | |a Engineering Mechanics. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Structural Materials. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031759147 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031759161 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031759178 |
| 830 | 0 | |a Springer Series in Solid and Structural Mechanics, |x 2195-352X ; |v 15 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-75915-4 |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 912 | |a ZDB-2-232 | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||
| 950 | |a Focus Bundle Computational Engineering (SpringerNature-85402) | ||